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High-field magnetotransport of organic conductors (BEDT-TTF)2TlHg(XCN)4 With X = S and Se
M. Kartsovnik, D. Mashovets, D. Smirnov, V. Laukhin, A. Gilewski, N.
Kushch
To cite this version:
M. Kartsovnik, D. Mashovets, D. Smirnov, V. Laukhin, A. Gilewski, et al.. High-field magnetotrans-
port of organic conductors (BEDT-TTF)2TlHg(XCN)4 With X = S and Se. Journal de Physique I,
EDP Sciences, 1994, 4 (1), pp.159-166. �10.1051/jp1:1994104�. �jpa-00246888�
Classification Physics Abstracts
72.15G 73.20D 74.70K
High-field magnetotransport of organic conductors (BEDT- TTF)~TlHg(XCN)~ with X
=
S and Se
M. V. Kalrtsovnik (1.
*),
D. V. Mashovets(2j,
D. V. Smirnov(2),
V. N. Laukhin(3),
A. Gilewski (4. 5) and N. D. Kushch(3)
(1) Institute of Solid State Physics,
Chemogolovka,
MD, 142432 Russia (2) A. F. loffePhysical
Technical Institute,St,Petersburg,
194021 Russia(3)Institute
of ChemicalPhysics, Chemogolovka,
MD, 142432Russia (4) MAG-NET Laboratory, ul.Gajowicka
95, 53-529 Wroclaw, Poland(5) Intemational
Laboratory
ofStrong
Magnetic Fields and LowTemperatures,
ul. Gajowicka 95, 53,529 Wroclaw, Poland(Received 26
July
1993, accepted 3September
1993)Abstract.
High
fieldmagnetoresistance
oflayered
organic metals(BEDT-TTF)2TlHg(XCN)4
with X
= S and Se has been studied
using pulsed
magnetic fields.Sharp
negativeslope
and stronghysteresis
of the magnetoresistance of (BEDT-TTF)2TlHg(SCN)4 found between about 11 and 27 T suggest a first,order phase transition to occur at these fields. Two different types of angular magnetoresistance oscillationscorresponding
mostlikely
tu different electronic states are observed in the low- and high-field phases, respectively. in contrast, the classical magnetoresistance of the sait with X=
Se is found tu be
smoothly
growing with the field increase. The obtained results are compared with those reported earlier on the (BEDT-TIF)2MHg(SCN)4 salts with M=
K and NH4 and discussed in the framework of the model proposed recently for the low-temperature
electronic state of
(BEDT-TTF)2TlHg(SCN)4.
Introduction.
The low-dimensional
organic
conductors(BEDT-TTF)~MHg(SCN)4
withpolymedc
auronsMHg (SCN)j,
where M stands forK, Tl,
Rb orNH~, [1-3]
have beeninitially synthesized
as amodification of a
superconductor K-(BEDT-TTF)~Cu(NCS)~
which has thesuperconducting
cdtical temperature, T~ =10.5 K, one of the
highest
among organic metals. It tums Dut, however, thatonly
thecompound
with M=
NH~
becomes asuperconductor
above 0.4 K[4],
the othersundergoing
aphase
transition at about T~ >10 K which is reflected as a smooth
hump
in the resistivity versus temperaturedependence [2, 5, 6]. (As
wasrecently
shown, the(*) Present address : Department of Physics, Faculty of Sciences, Kyoto University, Kyoto 606-01,
Japan.
160 JOURNAL DE PHYSIQUE I N°
salts with M
=
K and Rb exhibit a weak
superconductivity
below 200mK[7, 8].)
Themagnetic
susceptibility
of(BEDT-TTF)~KHg(SCN)~
was found[9]
to beessentially anisotropic
below thephase
transition temperature, T~.Taking
into account results of the bandstructure calculation
Il predicting
the existence ofslightly warped
open Fermi surface(FS)
sheets in addition ta the
quasi-2D cylindrical
ones, thephase
transitionmight
be attributed ta aspin-density-wave (SDW) instability typical
of somequasi-
IDorganic
conductorsloi.
NMRstudies of
(BEDT-TTF)~KHg(SCN)~ [l Il
revealed somechanges
in the electronic systembelow
T~,
however no directsigns
of amagnetic ordering
were found. Furtherinvestigation
should be made ta
clarify
the nature of thelow-temperature
state of thesecompounds
and thepossible competition
between themagnetic ordering
andsuperconductivity.
A number of
puzzling magnetoresistance
anomalies have beenrepolrted
for thecompounds
with K
[5, 9, 12-14]
and Tl[2, 15-17] indicating surprisingly
strong effect ofmagnetic
field on their transpolrtproperties.
Detailed studies ofangular-dependent oscillatory magnetoresistance
of
(BEDT-TTF)~TlHg(SCN)~ [15, 17]
grue evidence of a commensuratesuperstructure
ansing in the electronic system below T~. The superstructure wave vector component,
Qa, Perpendicular
to theplane
of the open FS sheets was found to be close ta the distancebetween the
sheets, 2k~,
thussupporting
the idea of thePeierls-type density
waveformation
[17].
As was shown in
[2, 17], (BEDT-TTF )~TlHg (SCN
)~ sharesessentially
ail themagnetoresi-
stance features with the most
popular (BEDT-TTF ~KHg(SCN)~
undermagnetic
fields up to14 T. Since a number of
important
anomalies have been observed in the lattercompound
in thefields above 15÷17T, it would be aise
interesting
to go to thehigher
fields for(BEDT-TTF )2TlHg (SCN
)4.Here, we present the results of the
high-field magnetoresistance
studies of(BEDT-TTF)~TlHg(SCN)~.
In order tadistinguish
thespecific
features related ta the low-temperature state of the
compound,
we have aise studied a newconductor,
(BEDT-TTF )~TlHg (SeCN
)~, whichonly
differs from the former insubstituting
the S atomby
Se in the anion and does not exhibit the
low-temperature phase
transition[18].
Experiment.
Single crystals
of(BEDT-TTF )~TlHg (SCN
)~ and(BEDT-TTF )~TlHg(SeCN
)~ were obtainedby electro-crystallization
as described elsewhere[2, 18].
The
sample
resistance was measuredperpendicular
to thecrystal highly-conducting ac-plane
in
pulsed magnetic
fields up to 35 T at temperatures 1.5 ÷ 4.2 K. Thesamples
wereglued
to 20p~m-diameter plantinum
wiresby
agraphite
paste. TO avoid vibrationsduring
the fieldpuises,
thesamples
were fixed ta asample
holderby
a siliconpolymer liquid.
The measurements were
perforrned
inpuise
magnets in theLaboratory
of LowTemperature
Transport
Phenomena(LLTTP)
of the A.I. IoffePhysico-Technical Institute,
St.-Petersburg,
Russia, and in the IntemationalLaboratory
ofStrong Magnetic
Fields and LowTemperatures
(ILSMFLT), Wroclaw,
Poland.In
LLTTP,
the magnetic fieldsperpendicular
ta theac-plane
were obtained with either 5 ms totalpuise
duration(referred
below as ashort-puise regime)
or 2.5 ms-rise and 25 ms-decrease(a long-puise regime).
Thesignal
from thecrystal
wasamplified by
a broad-bandamplifier
andtransferred ta an
analog-to-digit
converter(ADC)
with p~s gate and 20 p~s conversion lime.In
ILSMFLT,
magnetic fields weregenerated by
a 40Tpuise
magnet with thepuise
duration of 10 ms. The
crystals
could be rotated with respect to themagnetic
field in aplane perpendicular
ta theac-plane.
The Shubnikov,de Haas(SdH)
oscillations were studied with ade,method using an
analogue
second-denvativetechnique
with a broad-bandamplifier.
The classicalmagnetoresistance
was measuredby
a standardac-technique
with a narrow-bandamplifier ~f
= 50 kHz).
Theamphfied signais
wereprocessed by
ADC with thedigitizing frequency
of 300 kHz.Results.
MAGNETORESISTANCE
(MR)
FIELD DEPENDENCES. H Lac-plane. Figure
representstypi-
cal MR traces obtained for the
(BEDT-TTF )~TlHg (SCN
)~crystals
at different «sholrt-puise
»sweeps at 1.6 K and 4.2 K. The
following impolrtant
features of the classical part of MR are to bepointed
eut.w
loi ~
j
<0 6K50
20
<o
o
o io Jo ào
~, ào
20 H~
~ l 6K
io
4.2K
o io 20 ào
H,
Fig.
l.Magnetoresistance
traces for the Tl-(SCN) sait obtained from a series of successive field puisesat 1.6 K and 4.2 K. H 1 ac. The upper curve of each set
corresponds
tu theupward
field sweeps while the others represent the downward sweeps from different H~~i~~. Inset:Magnetoresistance
hysteresis at« long » and « short » puises. Curve1 field up, H~~i~~ = 35 T curve 2 field down,
long,puise
regime, H~~i~~ = 30 T curve 3 field down, short-puise regime, H~~i~~
=
30 T.
l.
Very high
MR in the fields up tu 13 T is consistent with that observed earher[2].
Athigher fields,
MR stalrts ta decreasegradually
and thendraps rapidly
in the interval between 20and 23 T. Above 27 T it becomes
practically field-independent being
at least 6 times smallerthon the maximum MR. A very similar behavior has been
repolrted by
several groups for(BEDT-TTF)~KHg(SCN)~ (see
e-g-[12, 19, 20]).
162 JOURNAL DE PHYSIQUE I N°
2. At H
~
H~
- II T a considerable difference anses between the MR traces
registered
at up and down sweeps of the field(a
small difference between the curves at lower fields camesmost
likely
from aslight over-heating
of thesample during
thepuises,
it should be aise takeninto account that the accuracy of the measurements under
high-field puises
isbeing
reduced intheir low-field
parts).
Trie downward MR traces become lower atincreasing
the maximum value of thepuise,
H~~j~~, up to H~~j~~ =H~
=
(27
±1)
T. Further increase ofH~~j~~, up to 35 T, does not affect the
position
of the downward MR curve and nohysteresis
is observedabove
H~.
As for theupward MR,
it remainsreproducible
for ail thepuises.
3. The
magnitude
of thehysteresis, àR(H)mR~~(H)-R~~~~(H),
increasesrapidly
oncooling
thesample
from 4.2 K to 1.6 K. At the same time thechanges
in the cntical fields,H~
andH~,
do non exceed 10 fb within this temperature range.4.
Finally,
thehysteresis magnitude,
àR(H),
appears todepend
on thepuise
duration. As isseen in the inset in
figure1,
thesholrtening
of thefield-decay
time from 25 ms to 2.5 ms («long
» and « sholrt »puises, respectively,
with the same H~~j~~value)
leads tu asignificant
increase of àR
(H).
As concems the SdH
oscillations,
we have observed both the fundamental and secondharmomcs
(Fig. 2)
with thefrequences
670 T and 340 T,respectively,
in agreement with theprevious results[16, 17].
Like in(BEDT-TTF)~KHg(SCN)~,
the second harmonic isenorrnously
strong above 18 T,although
somewhat weaker than in the lattercompound,
anddrops rapidly
at aboutHE.
aoo
~ oi
ôoo
-~
~
C©
~n3
200 0
.03
1/H, T~~
Fig. 2.
splittmg of the oscillations, I.e. strong second arrnonic is most ronounced
between about
18
and 27 T.In contrast tu
(BEDT-TTF)~TlHg(SCN)~,
theSe-contaimng analog (BEDT-
TTF)~TlHg(SeCN)~
exhibits rather smoothgrowth
of the classical MR(Fig. 3).
No traces of either negative MR contribution orhysteresis
have been found. The SdH oscillations are inperfect
agreement with those observed in[21]
insteady magnetic
field H~14T, withR(H)
@
5 ©
j 6~
j
Î E
4
~
o soc iooo isoo éooo
F, T 3
2
~0
10 20 30H, T
Fig.
3.Magnetoresistance
of the Tl-(SeCN) sait at T=
1.6 K, H 1 ac. lnset : Fourier spectrum of the SdH oscillations.
F
m 650 T, m =
(1.95
± 0.05)
mo andT~
> 0.6 K. Both the fundamental and second harrnonic components grow up
monotonically
withincreasing
the field theirratio, A(2 F)/A(F),
nonexceeding
a fewpercent
at 1.6 K(see
inset inFig. 3).
ANGULAR MAGNETORESISTANCE
osciLLATioNs.-Initially,
theangular
MR oscillations(AMRO)
found in(BEDT-TTF)~KHg(SCN)~
at low temperatures[12]
were considered tu have the sameengin
as inquasi-2D
metalsfl-(BEDT-TTF )~IBr~ [22]
and0-(BEDT-TTF)~I~
[23],
1-e- associated with closed orbitsalong
thecylindrical
FS.However, sharp
minima rather than maxima have been noted to be characteristic points of the MRangular dependence.
Aswas
suggested
in[24],
the AMRO reverse theirphase
around T~ orH~,
i-e- the MR minima are transforrned into maxima and vice-versa. The reasons for such anabrupt change
of the oscillationphase
are non clear.On the other hand, an
analysis
of AMRO in thelow-temperature
state of(BEDT-TTF )~TlHg (SCN
)~[15]
showed thatthey
must have the nature different from that inp-(BEDT-TTF)~IBr~ being
associated with the existence of aspecific plane
in the electronicsystem,
mosthkely,
aplane
of an open FS.Basing
on the oscillationparameters,
it wasproposed [17]
that aPeierls-type
commensurate superstructure arises below T~ thuschanging essentially
the electronic band structure. In this case, thelow-temperature-low-field
AMROrelevant
inherently
to the new superstructure should not be related to thoseexisting
above T~ and/orH~.
In order to compare the AMRO in the low- and
high-field
states of(BEDT-
TTF)~TlHg(SCN)~,
we have measured itsmagnetoresistance
at different field orientations.Figure
4 demonstrates theangular dependences
of the magnetoresistance atrotating
thesample perpendicular
to thehighly-conducting ac-plane
for twofields,
13 T and 30 T. As is seen in theinset in
figure
4, there exist celrtain orientations for which a considerablegrowth
of MR occurs164 JOURNAL DE PHYSIQUE I N°
300
f
200 ~=3~p iOO
~
o
iO 20 30
w j H, T
E
Î~
Îi
~y~
~ Î,
~Y
'( /
~
"-~
20 40 60 80
p,
degrees
Fig. 4. Angular dependences of magnetoresistance of the Tl-(SCN) sait at (1) 13 T ; (2) 30 T. Field rotation
perpendicular
tu the ac-plane, q~ is the angle between H and the b*-axis, T= 4.2 K. lnset Magnetoresistance field dependences for trie field orientations near the first minimum and maximum in
the curve 2.
at
high fields,
instead of thenegative slope
charactenstic of most common orientations. These celrtain field directionscorrespond
tosharp
MR maxima at thehigh-field angular dependence (curve 2, Fig. 4).
Thehigh-field
AMRO appear to beperiodic
in tan q~ as well as the low-fieldunes. It is impolrtant tu note that,
despite
the apparent closeness of thepositions
of thehigh-
field MR maxima
(downward
arrows inFig.
4 at q~m
34°,
63° and72°)
and the low-field MRminima
(upward
arrows at~D =
26° and
65°),
the difference between them is out of theexpenmental
error range. The same can be said about the oscillationpenods
:although
it is difficult to estimate themcorrectly
due to lack ofexperimental data,
one can see that, anyway, the low-field AMRO have alarger period
then thehigh-field
ones.Discussion.
Basing
on the modelproposed recently
for thegroundstate
of(BEDT-TTF )~TlHg (SCN
)~[17],
one can understand the obtained results as follows.
The low-field
(below H~)
magnetotranspolrt is determinedby
the FSmagnetic
breakdown network forrned from the initialcylinders
under aperiodic density-wave potential.
This FS includes new open sheets which may beresponsible
forhigh
MR at H~ l1 T. The
relatively complicated
SdHoscillations, including
theenormously
strong secondharmomc,
are due to the breakdown between the open sheets and smallcylindrical pockets [18].
The new opensheets are aise consistent with the low-field AMRO.
In the
high-field
range, 1-e- aboveH~,
the classical pan of MR tends to a constant value atH L ac and the SdH oscillations demonstrate
extremely
strong fundamentalfrequency,
670T,
andonly
a small second harmonic contribution consistent with thatexpected
from the Lifshits-Kosevich formula. This is very similar to the case of the
Tl(SeCN)-sait (Fig. 3)
and(BEDT-TTF )~NH~Hg(SCN)~ [25]
which do nonundergo
thephase
transition. Hence we mayconclude that strong
magnetic
field restores thehigh-temperature
electronic state in(BEDT-TTF)~MHg(SCN)~
with M= Tl and K with the FS
including
thequasi-ID planes perpendicular
to the a-direction andquasi-2D cylinders.
This is in agreement with thephase diagram proposed
for(BEDT-TTF )~KHg (SCN
)~ l9, 20].
In this case, theconductivity
undermagnetic
fieldperpendicular
to theac-plane
should be dominatedby
the FScylinders
that leads to the saturation of the MR to a value much lower than in the low-fieldphase.
Thus, the MR kink must manifest thephase
transition between thelow-field-low-temperature
state and thehigh-field/high-temperature
one. Thehysteresis
indicates that we deal with the first order transition. It isinteresting
to note the strong effect of temperature on thehysteresis magnitude, àR(H),
whereas itsedges, H~
andH~,
remain almostunchanged
within the studiedtemperature interval.
Since the
magnetic
breakdown network does not exist any more in thehigh-field phase
and the FS isexpected
to be the same as aboveT~,
the SdH effect is contributedby
semi-classicalorbits on the
quasi-2D cylinder.
This leads to thesimplification
of the oscillation spectrum and considerable enhancement of theiramplitude.
As is seen, inpalrticular,
infigure1,
the oscillationamplitude (norrnalized
to thebackground MR)
isapproximately
the same as for theTl(SeCN)-sait (Fig. 3).
The
angular
oscillations of the classical MR aise tum out to be in agreement with the above consideration.Indeed,
while the low-field AMRO(Fig. 4, curve1)
are associated with the open FS[15, 17],
their behavior inhigh
fields(Fig. 4,
curve2) corresponds perfectly
to the FScylinder.
Ananalogous
transition from the «plane
» AMRO at T ~ T~ to the «cylindric
» onesabove T~ has been very
recently
observed andinvestigated
on(BEDT-TTF )~KHg (SCN
)~[26].
The
comparison
between the MR behavior(BEDT-TTF )~TlHg (SCN
)~ and(BEDT-TTF )~KHg(SCN)~
showsclearly
theidentity
of their electronicpropelrties.
Theonly quantitative
difference is that the charactensticfields, H~
andH~,
are somewhathigher
in theTl-contaimng compound.
Summanzing,
we have studied thehigh-field magnetotranspolrt
of(BEDT- TTF)2TlHg(XCN)4
with X=
S and Se. The MR behavior of
(BEDT-TTF)2 TlHg(SCN)4
hasbeen shown to share ail the characteristic features with its
K-containing analog.
Thecomparison
of the MR of two lattercompounds
with theTl(SeCN)-sait
supportsstrongly
the idea that theirhigh-field
electronic states are identical to thehigh-temperature
ones. The classical MR as well as theangular
and SdH oscillations can be understood within the modelproposed
in[17]
for thelow-temperature
electronic state of(BEDT-TTF)~TlHg(SCN)4.
The MR kinkcorresponds
mosthkely
to the fisrt orderphase
transition between the « low-temperature-low-field»
and the«high-temperature/high-field
» states. Of course, fulrtherinvestigations
are to be done toclarify
the mechanismresponsible
for thephase
transition and detalize the nature of the «low-temperature-low-field
» state in thesecompounds.
Acknowledgements.
We are thankful to N. E. Alekseevskii and T. Palewski for their kind permission to
perform
apart of the measurements in the Intemational
Laboratory
ofStrong Magnetic
Fields and LowTemperatures
inWroclaw,
I. F.Schegolev,
E. B.Yagubskii
and R. Parfeniev for their interest andencouragement.
The work waspartly supported by
the Intemational Soros Foundationawarded
by
the AmencanPhysical Society. M.V.K.,
V.N.L. and N-D-K-aknowledge
theRussian Foundation for Fundamental Research Grant No. 93-02-14246.
166 JOURNAL DE
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