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Ion channeling in the quasi-one dimensional blue bronzes A0.30MoO 3 (A = K, Rb)

B. Daudin, M. Dubus, J. Dumas, J. Marcus

To cite this version:

B. Daudin, M. Dubus, J. Dumas, J. Marcus. Ion channeling in the quasi-one dimensional blue bronzes A0.30MoO 3 (A = K, Rb). Journal de Physique, 1987, 48 (10), pp.1779-1786.

�10.1051/jphys:0198700480100177900�. �jpa-00210619�

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Ion channeling in the quasi-one dimensional blue bronzes A0.30MoO3 (A = K, Rb)

B. Daudin, M. Dubus, J. Dumas (1) and J. Marcus (1)

Service des Basses Températures, C.E.N.G., avenue des Martyrs, BP 85 X, 38041 Grenoble Cedex, France

(Reçu le 27 avril 1987, revis6 le 22 juin 1987, accepté le 25 juin 1987)

Résumé.

2014

Nous avons mesuré les rendements de rétrodiffusion de protons de 1 MeV pour les bronzes bleus

quasi unidimensionnels K0,3MoO3 et Rb0,3MoO3 dans la gamme de température 50-350 K. Nous avons mis en

évidence d’importants phénomènes d’hystérésis et des effets dépendant du temps sur de longues périodes.

Nous discutons nos résultats en termes de domaines d’onde de densité de charge et de parois de domaines

couplées aux défauts du réseau.

Abstract.

2014

We have measured backscattering yields of 1 MeV protons in the quasi-one dimensional blue bronzes Ka0.30MoO3 and Rb0.30MoO3 at temperatures between 50 and 350 K. Large hysteresis and time dependent effects involving long time scales are found. The measurements are discussed in terms of charge density wave domains and domain walls coupled to lattice defects.

Classification

Physics Abstracts

71.45

-

61.80

1. Introduction.

The molybdenum blue bronzes Ao.30MOO3 (A

=

K, Rb) undergo a metal-to-semiconductor transition at

180 K [1]. Optical reflectivity measurements by Travaglini and Wachter [2] and resistivity measure-

ments by Perloff et al. [3] showed that these com-

pounds are quasi-one dimensional conductors at room temperature. X-ray diffuse scattering studies by Pouget et al. [4] have established that the transi- tion at 180 K is a Peierls transition towards an

incommensurate charge density wave state which

becomes quasi-commensurate below 100 K. The charge density wave (CDW) state results from a

nesting of the Fermi surface and from an electron-

phonon coupling ; it consists of a periodic modu-

lation of the electron density coupled to a periodic

lattice distortion. Sato et al. [5] and Pouget et al. [6]

have shown evidence of the formation of a Kohn

anomaly responsible for the softening of a phonon

mode at 180 K. In the semiconducting phase, Dumas

et al. [7] have shown that the blue bronze exhibits

non linear voltage-current characteristics beyond a

small threshold electric field. They have attributed

this non linearity to the sliding of the CDW. At low electric field, the CDW is pinned by its interactions with impurities but above a threshold field the CDW

is depinned and contributes to the conductivity [8].

Compelling evidence for the motion of the CDW has been given recently by Segransan et al. [9] by NMR studies of Rbo,3oMo03. A wealth of metastable

phenomena with long time scales both in the pinned

and current carrying state have been reported [10].

The observation of electrical and thermal hys-

teresis [10] dielectric polarization [11], various mem-

ory effects [12] as well as of time dependent 87 Rb NMR [13] and M05

+

EPR [14] lineshapes and

metastable loss of transverse order under application

of an electric field [15] indicate that many metastable

states are involved in the pinned state of the CDW

even at temperatures as low as = 4.2 K.

To obtain a more detailed understanding of the

Peierls distorted state we have investigated the blue

bronzes Ko.3oMo03 and Rbo,3oMo03 by proton chan- neling technique in the temperature range 50 K- 350 K. This technique is very sensitive to detect small atomic displacements, of the order of 0.1 A.

The channeled particles are dechanneled due to the effects of thermal vibrations, impurities, lattice im-

Article published online by EDP Sciences and available at http://dx.doi.org/10.1051/jphys:0198700480100177900

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1780

perfections. The study of a CDW transition by this technique has been reported for the first time by Haga et al. [16] then by Nunez-Regueiro et al. [17]

in the case of TiSe2 and 1 T-TaS2. The first attempt

of ion channeling in Kfl.3oMo03 with He+ ions in the

temperature range 100 K-300 K has been reported by Abe et al. [18]. These authors have observed an

enhancement of the minimum backscattering yield,

X min’ in the vicinity of 180 K and have attributed this

anomaly to the softening of a phonon mode.

We report in this paper a more detailed study of

X min and show that this quantity depends strongly on

the thermal history of the sample and is a function of

time. Some preliminary results have been published

elsewhere [19]. Anomalies in the vicinity of 180 K

and 100 K are found on Ko.30MOO3 and Rbo.30Mo03.

Complementary resistivity measurements show that the resistance of the blue bronzes is also strongly hysteretic and time dependent. This non equilibrium

behaviour is discussed in relation with other metasta-

bility phenomena in the blue bronzes. We propose that the observed phenomena result from the pre-

sence of CDW domains and domain walls coupled to

lattice defects.

The blue bronze shows a layered type crystal

structure. The structure is monoclinic, built with clusters of ten distorted Mo06 octahedra. The clusters share corners along the monoclinic b-axis and the [102] direction and form infinite two-dimen- sional sheets. The alkali ions A+ lie between the sheets [20]. The structure, illustrated in figure 1,

contains three Mo sites. The 4d electrons are mainly

located on the Mo(2) and Mo (3 ) sites which are

Fig. 1.

-

Crystal structure of the blue bronze showing the

infinite sheets of Mo06 octahedra 11 (201), separated by

the alkaline ions (8). The sheets contain the infinite chains 11 b.

involved in infinite chains of Mo06 octahedra along

the b-axis [21]. There are two alkali sites with large

and anisotropic Debye-Waller factors.

The structure can also be viewed as made of infinite chains of clusters of ten Mo06 octahedra running along the b-axis. X-ray diffuse scattering

studies [4] have shown that precursor diffuse

platelets above 180 K condensed into weak satellite spots. The superstructure reflections are charac- terized by the wave vector q

=

10 a *, (1 - qb) b *, 0.5 c with qb = 0.26 at 110 K.

(1- qb) increases strongly with decreasing tempera- ture, is temperature independent below 100 K and extremely close to the commensurate value 0.75 [22].

2. Experimental techniques.

The single crystals used in these investigations were prepared at L.E.P.E.S. by electrolytic reduction of a

A2Mo04-Mo03 (A

=

K, Rb) melt at 550 °C. Details of the preparation are given in reference [23]. The crystals appear as platelets with typical size 5 x

2 x 1 mm3 parallel to the (201) cleavage plane with

the b-axis as the long direction as illustrated in

figure 2a.

Fig. 2a.

-

Schematic view of the samples in the two configurations used : i) beam perpendicular to the cleav-

age plane ; ii) beam parallel to the cleavage plane.

Fig. 2b.

-

Typical energy spectrum of backscattered

protons. r : random ; c : channeled. The oxygen front is

shown and the energy window used is visualized : (1).

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The ion channeling measurements were carried out using the 2 MeV Van de Graaf ion accelerator of the SBT/L ACC.

As the blue bronzes are highly sensitive to irradia-

tion effects [24], considerable care was taken to minimize defect production by the ion beam. In particular, preliminary experiments with He+ ions

indicated noticeable permanent radiation damage of

the samples.

All the experiments reported in this paper were therefore performed using 1 MeV protons as it was checked that they produced no significant damage.

On the other hand, the penetration depth of 1 MeV

protons in these material is as large as 10.5 um

whereas the energy window shown in figure 2b corresponds to an analysed depth of about 0.8 lim.

As a consequence, the number ,of defects produced by irradiation in the analysed region of the sample

was negligible. The beam was approximately 1 mm

in diameter and the intensity never exceeded 3 x 10- 9 A. The samples were cleaved prior to experiments and fixed to the sample holder with

silver paint. A permanent helium flow was used to cool the sample holder so that the measurement

temperature range was 50 K-350 K. The heating and colling rate were approximately 1 K/minute.

The backscattered particles were counted using a

multichannel analyser and a typical spectrum is shown in figure 2b where the energy window used for the experiments is visualized. The minimum

backscattering yield, X miD’ is defined as the ratio

NCIN, where Nc and Nr are the number of particle

backscattered in, respectively, the channeled and

random geometry.

As far as Ko,3Mo03 is concerned, two geometries

were used (see Fig. 2a) :

i) In most experiments, the sample was oriented

so that the beam direction was along a channel perpendicular to the cleavage plane and to the b-

axis.

ii) Additional experiments were also performed

with the beam axis parallel to the cleavage plane of

the platelets and perpendicular to the b-axis. In this

last case, the samples were about 1.5 mm thick and

the beam diameter was reduced to 0.5 mm.

The experiments on Rbo.3Mo03 were performed using only the geometry defined in i).

The usual experimental procedure was to orientate

the sample at room temperature and to measure

X min as a function of temperature down to 50 K.

Then, the alignement was controlled in order to make sure that the sample had not moved during the cooling process. X min was subsequently measured

from 50 K to 350 K and a new alignement control

was done at high temperature.

Resistivity measurements were made on freshly

cleaved samples with the standard four probes

configuration. Gold wires were attached with silver

paint on indium evaporated areas.

3. Results.

3.1 THERMAL CYCLING EXPERIMENTS.

-

In a first set of experiments, X min was measured as a function of temperature in the 50 K-350 K range and several

cycles were completed. The results for two of them

are plotted in figure 3a and 3b and correspond to

Fig. 3a.

-

Minimum backscattering yield as a function of temperature.

Fig. 3b.

-

Minimum backscattering yield as a function of temperature,. The dotted line is only an eye guide (see

text). The transition temperature, Tc, is indicated.

two different impact point on the same sample. The

characteristic features exhibited are :

a) A smooth variation of X min for decreasing

temperature and no sharp anomaly around Tc = 180 K.

b) A large effect for increasing temperature

which corresponds to an increase of X min around

100 K and a slow recovering achieved for tempera-

ture between 300 and 350 K, well above the transi- tion temperature. It is worth noting that the highest

value of X min obtained during cycle b (see Fig. 3b) is

close to the random value and therefore indicates that a very strong disorder is present in the sample.

For the experiments reported in figure 3a, the

sample was aligned at 50 K and a new impact point

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1782

was chosen before increasing the temperature. As a consequence, the large increase in X min which was

observed could definitely not be attributed to poss- ible irradiation defects.

c) For the decreasing temperature part of the cycle shown in figure 3b, the experimental points are

fitted by a straight line between 200 and 300 K but a

noticeable deviation from this line is observed for T 220 K, in a range where premonitory effects of

the transition are known to take place [4].

This deviation which was not always present was nevertheless observed during various experiments,

for decreasing temperature, and we attribute it ot the establishment of long-range order in the sample.

3.2 HYSTERESIS EFFECTS.

-

The results plotted in figure 4 correspond to various thermal cycles below

and above Tc. The most striking result is that the change of slope observed on the heating curve

around 100 K when the minimum temperature

reached was 50 K (see Fig. 3a and 3b) can be shifted

to higher temperature. It is actually clear in figure 4

Fig. 4.

-

Hysteresis in the minimum backscattering yield

versus temperature curves for Ko.3Mo03 after thermal

cycling. Closed symbols correspond to increasing tempera-

ture (1, 3, 5). Open symbols correspond to decreasing temperature (2, 4).

that the temperature associated to this change of slope is strongly correlated to the maximum tempera-

ture reached during the cycle just before and that the

system has a memory of the previous stages. This

memory effect has some analogy with that found by

Mutka et al. (12) in their resistivity measurements.

It is also clear that this effect is present for temperatures larger than Tc and the evolution of

X min plotted in figure 5 as a function of time is an

evidence for metastability.

Fig. 5.

-

Time-dependance of the minimum backscatter-

ing yield at T

=

200 K (open lozenges), taken on a heating cycle. The closed triangle is the value measured at room

temperature on the virgin sample (i.e. before any thermal

cycle).

3.3 IRREVERSIBILITY EFFECTS.

-

In figure 6 the

result for thermal cycling between 350 K and 190 K is shown. An hysteresis is present but, in contrast

with figure 5, the stabilization which was done at 190 K before heating the sample again was uneffec- tive, as shown in the inset of figure 6.

Fig. 6.

-

Hysteresis in the minimum backscattering yield

versus temperature curve above Tc. Inset : Time-depend-

ance of X min at 190 K, between cycle 1 and 2.

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In a following step, the time dependance of

X min was investigated below Tc (see Fig. 7). As

shown in the inset of figure 7, X min was measured as a function of time at T

=

164 K. It was found that the time scale was very large and the stabilization could not be achieved. The sample was then cooled

again prior to a further heating up to 350 K. It appears in figure 7 that the maximum of X min around T

=

220 K was therefore larger than in most ex- periments, indicating that the memory of the stabili- zation at 164 K was kept by the sample. In addition,

a strong annealing of X min is observed between 250 and 350 K which is consistent with the increase of the disorder observed during the stabilization process at 164 K.

Fig. 7.

-

Irreversibility in the minimum backscattering yield versus temperature curve. Inset : Time-dependance

of X min at 164 K corresponding to the part 2 of the curve.

During the heating (curve 4) steps of Xmin seem to

occur. This effect was observed on other samples but

the results are not reported here.

In order to clarify the time dependant effects,

another tefnperature cycle was done using different

Fig. 8.

-

Minimum backscattering yield as a function of temperature. Cooling and heating rate were 20 K/hour.

experimental conditions : the temperature was var- ied step by step as usual but a 20 min stabilization

was achieved for each experimental point. The

results are plotted in figure 8 and an increase of

X min is clearly shown upon heating. This effect is not

so large as in figure 3 but is nevertheless more

important than for most experiments (not reported here) ; This is consistent with the time dependant

effects displayed in figure 7.

3.4 BEAM ALIGNED PARALLEL TO THE CLEAVAGE PLANE.

-

An additional experiment was done using

the geometry described in section 2.ii) (see Fig. 2a)

as it was assumed that the channeling would be

a priori better in this direction due to the large interplanar spacing. Actually, Xmin was found to be

comparable to previous values and no significant improvement was found. The results are plotted in figure 9 and a significant increase of Xmin is observed but, surprisingly, for decreasing temperature. Fur- thermore, this effect was present only for the first

cycle and the following cycles have reavealed (see Fig. 9) a behaviour similar to most experiments performed whith the previous geometry.

Fig. 9.

-

Minimum backscattering yield as a function of temperature. The channeling direction was parallel to the cleavage plane (see text). Curve 1 (closed dots) corres- ponds to the first cooling of the sample. Curve 2 and 3

were measured next.

3.5 SUMMARY OF EXPERIMENTAL DATA. - As far

as the channeling yield is concerned, the exper- imental features can be summarized in the following

way :

-

strong time dependant effects were observed

above and below Tc ;

-

hysteresis effects were observed above and below T, ;

-

all these effects were reproducible but strongly

sample-dependant. One should note that it is also

the case for transport properties [10] ;

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1784

-

an evolution was observed towards a state

where, after several cyclings, no strong anomalies

were present. For most

«

virgin

»

samples, no large

anomalies were present and we stress again that the sample quality is very important as far as these experiments are concerned. (The « virgin » state

refers to a sample prior to any thermal cycling, with

no consideration, a priori, of the defects concen-

tration. )

-

similar experiments performed of Rbo.3MoO3

revealed no significant differences with respect to

Ko.3Mo03.

4. Resistivity measurements.

It has been previously reported that the transport

properties of Ko.3oMo03 and Rbo,3Mo03 are entirely

similar [10].

Figure 10 shows the thermal hysteresis of the

Ohmic resistance of a Rbo.3oMo03 sample in the temperature range 90 K-110 K. Hysteresis always

appears upon thermal cycling whatever the explored

temperature interval. These effects are more striking

in electron irradiated samples, as demonstrated by

Mutka et al. [12].

Fig. 10.

-

Hysteresis in the resistance vs. temperature

curves for a Rbo.30MoO 3 sample after thermal cyclings.

Cooling or heating rate : dT/dt

=

2 K/min.

Figure 11 shows the variation of the resistance after a thermal cycling and relaxation at two different temperatures. The resistance is always larger on heating than on cooling. On the cooling curve, the resistance increases as a function of time at a given temperature while on the heating curve, it decreases with time. Similar results have been observed by

several authors in the blue bronzes and in TaS3 [25].

Non-Debye character of the relaxation was observed

by L. Mihaly et al. [11].

After a thermal cycling the resistance measured at

190 K is still weakly time dependent. The relative change OR/R is less than one per cent over a period

of one hour. More pronounced effects were observed

on different samples [26]. For T > 190 K we find no

time dependence of the resistance.

Fig. 11.

-

Hysteresis in the resistance vs. temperature

curve for a Ko.30M003 sample after relaxation at 109 K (a)

for 30 min then at 117 K (b) for 30 min ; dT/dt

=

2 K/min.

5. Discussion.

It is well accepted that the metastability phenomena

in incommensurate CDW systems are related to the random distribution of the pinning strengths of the

CDW by impurities or other point lattice defects.

The disorder due to random pinning leads to

«

glass

like » characteristics of the CDW state which are

particularly striking in pure, W-doped or electron

irradiated blue bronzes [10, 12]. The CDW distorted

state can be understood only in taking into account

the large number of internal degrees of freedom of

the CDW condensate. Only deformable models can account for hysteresis and various time dependent

and memory effects. In this context, the existence of CDW domains and CDW domain walls has been

proposed by several authors [27]. Due to the pinning

forces the CDW condensate is always in a stressed

state. It can be viewed as an

«

electronic solid » [28]

which possesses its own defects [29].

We discuss our results in terms of CDW defects

interacting with lattice defects, first the results in the

temperature range 180 K-350 K, then those in the

temperature range 50 K-180 K.

5.1 TEMPERATURE INTERVAL 180 K T 350 K.

-

In the explored temperature range and using

different cooling rates most surprising is the absence of marked anomaly in X min during cooling from a virgin state. The observation of an anomaly in the Young’s modulus [30] in the vicinity of the Peierls transition temperature in common with other CDW materials as well as anomalies in the lattice parame- ters [21] would suggest a possible change in Xmin-

However, when the sample is heated from 50 K,

X min becomes strongly temperature dependent and

its values are much larger than those observed on

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cooling especially in the vicinity of 200 K. An increase of xm;n always corresponds to an increase of

disorder. The hysteresis disappears only at ~ 350 K

and the sample returns to its virgin state. The time dependence of X min is found only on the heating

curve. For T ~ 200 K X min decreases slowly with

time. This clearly indicates that the system has been driven far from equilibrium. If X min was only due to

the softening of a phonon mode one would not

expect hysteresis and time dependent effects. On the other hand the temperature dependence of X m;n does

not follow that of the order parameter [22] unlike in TiSe2 [17]. Therefore we rather believe that Xmin is dominated by the presence of mobile defects. Since the anomaly of x min is rather large in view of the small ion displacements associated with the Peierls

transition, the defects involved might be incommen-

surate CDW domains slowly rearranging and inside

which the wavevector of the modulation is pinned to

out of equilibrium values. This hypothesis is suppor- ted by the fact that reasonable point defects concen-

trations cannot account for such a large increase of X min’

No firm conclusion on the possible shape of CDW

domains can be given, even with the two configura-

tions employed. In particular, the possible existence

of domains elongated parallel or normal to be b-axis

cannot be deduced from the above data, although it

is desirable to elucidate this point for a better understanding of CDW transport.

This domain structure acquired at low tempera- ture, would persist above 180 K. The hysteresis

above - 180 K may have the same origin as the

remanent extra 87 Rb NMR line [13]. This latter effect has been discussed in the framework of the defect density wave concept (DDM) developed by

Lederer et al. [31]. In this model, a small fraction of

the lattice defects order periodically and are coupled

to the CDW modulation.

A weak electrical hysteresis in the Ohmic resist-

ance also persist above 180 K, AR/R decreases by

-

1 % over one hour at 190 K. These results seem to be also in agreement with the DDW model. In

addition, this picture seems consistent with the observations in 1 T-TaS2 and in (TaSe4)2I near the

Peierls transition of an acoustic noise emission [32]

which corresponds to a release of elastic energy.

5.2 TEMPERATURE INTERVAL 50 K T 180 K.

-

Below ~ 100 K, the wavevector of the modulation is temperature independent and extremely close to

the commensurate value 0.75 [22]. An incommensu- rate CDW can be described in terms of commensu- rate domains separated by narrow regions, the so-

called discommensurations (DC) [33], where the phase of the CDW necessary to account for the deviation of the Fermi wavevector q

=

2 kf from the

commensurate value changes rapidly. These DC’s

are delimited by phase dislocation loops [34]. They

can be pinned by lattice defects and can give rise to long equilibrium times if the barrier energy for

pinning is larger than kT [35]. The crucial role of defects on a CDW has been investigated by Mutka

et al. in electron irradiated blue bronzes 12 and 1 T-TaS2 [36]. However in the case of blue bronzes,

it seems that the possibility of DC’s has to be ruled

out from recent NMR work [13]. Domain walls

parallel to the b-axis with an arbitrary thickness

would be likely [37].

The hysteresis in X min is barely measurable be- tween 50 K and 100 K and becomes more pro- nounced only above 100 K. A possible origin of the

time dependance of X min would be the rearranging of

CDW domains or CDW phase defects coupled to

mobile lattice defects. In this context the modifi- cation of the Ohmic resistance as a function of time would arise from rearrangements of CDW phase

defects or CDW domains. The Ohmic resistance is extrinsic at low temperatures and has to be attributed

to non-stoichiometry and/or impurity levels in the Peierls gap. If the lattice defects are coupled to

CDW defects the population of the corresponding

levels in the gap would be metastable. This mechan- ism can explain qualitatively the time dependence of

the resistance and also the existence of precursor

voltage pulses or steps in V-I characteristics at low

temperature observed in some samples [7, 25]. In

this context, it is not surprising that the resistivity

and X min measurement are sample dependent.

The results show no clear cut evidence for a lock- in transition at 100 K.

6. Conclusion.

The ion channeling experiments and resistivity meas-

urements reported in the present work have provided

evidence for the presence of defects in the Peierls distorted state of the blue bronzes. The observed remarkable hysteresis and time dependence of the backscattering yield and of the Ohmic resistance have been attributed to CDW structural defects

(possibly walls parallel to the b-axis) coupled to

mobile point lattice defects (impurities, alkali vacan- cies...). Further work would involve a comparative study of backscattering yield on samples doped with impurities giving rise to strong or weak pinning of

the CDW in the sense of the Lee and Rice theory. In

relation with CDW defects, more direct methods of

study of the CDW state would be desirable.

7. Acknowledgments.

The authors wish to thank B. K. Chakraverty,

D. Feinberg, C. Filippini, G. Mihaly and

C. Schlenker for fruitful discussions.

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1786

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