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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�

(2)

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. loffe

Physical

Technical Institute,

St,Petersburg,

194021 Russia

(3)Institute

of Chemical

Physics, Chemogolovka,

MD, 142432Russia (4) MAG-NET Laboratory, ul.

Gajowicka

95, 53-529 Wroclaw, Poland

(5) Intemational

Laboratory

of

Strong

Magnetic Fields and Low

Temperatures,

ul. Gajowicka 95, 53,529 Wroclaw, Poland

(Received 26

July

1993, accepted 3

September

1993)

Abstract.

High

field

magnetoresistance

of

layered

organic metals

(BEDT-TTF)2TlHg(XCN)4

with X

= S and Se has been studied

using pulsed

magnetic fields.

Sharp

negative

slope

and strong

hysteresis

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 oscillations

corresponding

most

likely

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

with

polymedc

aurons

MHg (SCN)j,

where M stands for

K, Tl,

Rb or

NH~, [1-3]

have been

initially synthesized

as a

modification of a

superconductor K-(BEDT-TTF)~Cu(NCS)~

which has the

superconducting

cdtical temperature, T~ =10.5 K, one of the

highest

among organic metals. It tums Dut, however, that

only

the

compound

with M

=

NH~

becomes a

superconductor

above 0.4 K

[4],

the others

undergoing

a

phase

transition at about T~ >

10 K which is reflected as a smooth

hump

in the resistivity versus temperature

dependence [2, 5, 6]. (As

was

recently

shown, the

(*) Present address : Department of Physics, Faculty of Sciences, Kyoto University, Kyoto 606-01,

Japan.

(3)

160 JOURNAL DE PHYSIQUE I N°

salts with M

=

K and Rb exhibit a weak

superconductivity

below 200mK

[7, 8].)

The

magnetic

susceptibility

of

(BEDT-TTF)~KHg(SCN)~

was found

[9]

to be

essentially anisotropic

below the

phase

transition temperature, T~.

Taking

into account results of the band

structure calculation

Il predicting

the existence of

slightly warped

open Fermi surface

(FS)

sheets in addition ta the

quasi-2D cylindrical

ones, the

phase

transition

might

be attributed ta a

spin-density-wave (SDW) instability typical

of some

quasi-

ID

organic

conductors

loi.

NMR

studies of

(BEDT-TTF)~KHg(SCN)~ [l Il

revealed some

changes

in the electronic system

below

T~,

however no direct

signs

of a

magnetic ordering

were found. Further

investigation

should be made ta

clarify

the nature of the

low-temperature

state of these

compounds

and the

possible competition

between the

magnetic ordering

and

superconductivity.

A number of

puzzling magnetoresistance

anomalies have been

repolrted

for the

compounds

with K

[5, 9, 12-14]

and Tl

[2, 15-17] indicating surprisingly

strong effect of

magnetic

field on their transpolrt

properties.

Detailed studies of

angular-dependent oscillatory magnetoresistance

of

(BEDT-TTF)~TlHg(SCN)~ [15, 17]

grue evidence of a commensurate

superstructure

ansing in the electronic system below T~. The superstructure wave vector component,

Qa, Perpendicular

to the

plane

of the open FS sheets was found to be close ta the distance

between the

sheets, 2k~,

thus

supporting

the idea of the

Peierls-type density

wave

formation

[17].

As was shown in

[2, 17], (BEDT-TTF )~TlHg (SCN

)~ shares

essentially

ail the

magnetoresi-

stance features with the most

popular (BEDT-TTF ~KHg(SCN)~

under

magnetic

fields up to

14 T. Since a number of

important

anomalies have been observed in the latter

compound

in the

fields above 15÷17T, it would be aise

interesting

to go to the

higher

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 ta

distinguish

the

specific

features related ta the low-

temperature state of the

compound,

we have aise studied a new

conductor,

(BEDT-TTF )~TlHg (SeCN

)~, which

only

differs from the former in

substituting

the S atom

by

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 obtained

by electro-crystallization

as described elsewhere

[2, 18].

The

sample

resistance was measured

perpendicular

to the

crystal highly-conducting ac-plane

in

pulsed magnetic

fields up to 35 T at temperatures 1.5 ÷ 4.2 K. The

samples

were

glued

to 20

p~m-diameter plantinum

wires

by

a

graphite

paste. TO avoid vibrations

during

the field

puises,

the

samples

were fixed ta a

sample

holder

by

a silicon

polymer liquid.

The measurements were

perforrned

in

puise

magnets in the

Laboratory

of Low

Temperature

Transport

Phenomena

(LLTTP)

of the A.I. Ioffe

Physico-Technical Institute,

St.

-Petersburg,

Russia, and in the Intemational

Laboratory

of

Strong Magnetic

Fields and Low

Temperatures

(ILSMFLT), Wroclaw,

Poland.

In

LLTTP,

the magnetic fields

perpendicular

ta the

ac-plane

were obtained with either 5 ms total

puise

duration

(referred

below as a

short-puise regime)

or 2.5 ms-rise and 25 ms-decrease

(a long-puise regime).

The

signal

from the

crystal

was

amplified by

a broad-band

amplifier

and

transferred ta an

analog-to-digit

converter

(ADC)

with p~s gate and 20 p~s conversion lime.

In

ILSMFLT,

magnetic fields were

generated by

a 40T

puise

magnet with the

puise

duration of 10 ms. The

crystals

could be rotated with respect to the

magnetic

field in a

plane perpendicular

ta the

ac-plane.

The Shubnikov,de Haas

(SdH)

oscillations were studied with a

de,method using an

analogue

second-denvative

technique

with a broad-band

amplifier.

The classical

magnetoresistance

was measured

by

a standard

ac-technique

with a narrow-band

(4)

amplifier ~f

= 50 kHz

).

The

amphfied signais

were

processed by

ADC with the

digitizing frequency

of 300 kHz.

Results.

MAGNETORESISTANCE

(MR)

FIELD DEPENDENCES. H L

ac-plane. Figure

represents

typi-

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 be

pointed

eut.

w

loi ~

j

<0 6K

50

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 puises

at 1.6 K and 4.2 K. H 1 ac. The upper curve of each set

corresponds

tu the

upward

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].

At

higher fields,

MR stalrts ta decrease

gradually

and then

draps rapidly

in the interval between 20

and 23 T. Above 27 T it becomes

practically field-independent being

at least 6 times smaller

thon the maximum MR. A very similar behavior has been

repolrted by

several groups for

(BEDT-TTF)~KHg(SCN)~ (see

e-g-

[12, 19, 20]).

(5)

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 cames

most

likely

from a

slight over-heating

of the

sample during

the

puises,

it should be aise taken

into account that the accuracy of the measurements under

high-field puises

is

being

reduced in

their low-field

parts).

Trie downward MR traces become lower at

increasing

the maximum value of the

puise,

H~~j~~, up to H~~j~~ =

H~

=

(27

±

1)

T. Further increase of

H~~j~~, up to 35 T, does not affect the

position

of the downward MR curve and no

hysteresis

is observed

above

H~.

As for the

upward MR,

it remains

reproducible

for ail the

puises.

3. The

magnitude

of the

hysteresis, àR(H)mR~~(H)-R~~~~(H),

increases

rapidly

on

cooling

the

sample

from 4.2 K to 1.6 K. At the same time the

changes

in the cntical fields,

H~

and

H~,

do non exceed 10 fb within this temperature range.

4.

Finally,

the

hysteresis magnitude,

àR

(H),

appears to

depend

on the

puise

duration. As is

seen in the inset in

figure1,

the

sholrtening

of the

field-decay

time from 25 ms to 2.5 ms

long

» and « sholrt »

puises, respectively,

with the same H~~j~~

value)

leads tu a

significant

increase of àR

(H).

As concems the SdH

oscillations,

we have observed both the fundamental and second

harmomcs

(Fig. 2)

with the

frequences

670 T and 340 T,

respectively,

in agreement with the

previous results[16, 17].

Like in

(BEDT-TTF)~KHg(SCN)~,

the second harmonic is

enorrnously

strong above 18 T,

although

somewhat weaker than in the latter

compound,

and

drops rapidly

at about

HE.

aoo

~ oi

ôoo

-~

~

~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)~,

the

Se-contaimng analog (BEDT-

TTF)~TlHg(SeCN)~

exhibits rather smooth

growth

of the classical MR

(Fig. 3).

No traces of either negative MR contribution or

hysteresis

have been found. The SdH oscillations are in

perfect

agreement with those observed in

[21]

in

steady magnetic

field H~14T, with

(6)

R(H)

@

5 ©

j 6~

j

Î E

4

~

o soc iooo isoo éooo

F, T 3

2

~0

10 20 30

H, 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 and

T~

> 0.6 K. Both the fundamental and second harrnonic components grow up

monotonically

with

increasing

the field their

ratio, A(2 F)/A(F),

non

exceeding

a few

percent

at 1.6 K

(see

inset in

Fig. 3).

ANGULAR MAGNETORESISTANCE

osciLLATioNs.-Initially,

the

angular

MR oscillations

(AMRO)

found in

(BEDT-TTF)~KHg(SCN)~

at low temperatures

[12]

were considered tu have the same

engin

as in

quasi-2D

metals

fl-(BEDT-TTF )~IBr~ [22]

and

0-(BEDT-TTF)~I~

[23],

1-e- associated with closed orbits

along

the

cylindrical

FS.

However, sharp

minima rather than maxima have been noted to be characteristic points of the MR

angular dependence.

As

was

suggested

in

[24],

the AMRO reverse their

phase

around T~ or

H~,

i-e- the MR minima are transforrned into maxima and vice-versa. The reasons for such an

abrupt change

of the oscillation

phase

are non clear.

On the other hand, an

analysis

of AMRO in the

low-temperature

state of

(BEDT-TTF )~TlHg (SCN

)~

[15]

showed that

they

must have the nature different from that in

p-(BEDT-TTF)~IBr~ being

associated with the existence of a

specific plane

in the electronic

system,

most

hkely,

a

plane

of an open FS.

Basing

on the oscillation

parameters,

it was

proposed [17]

that a

Peierls-type

commensurate superstructure arises below T~ thus

changing essentially

the electronic band structure. In this case, the

low-temperature-low-field

AMRO

relevant

inherently

to the new superstructure should not be related to those

existing

above T~ and/or

H~.

In order to compare the AMRO in the low- and

high-field

states of

(BEDT-

TTF)~TlHg(SCN)~,

we have measured its

magnetoresistance

at different field orientations.

Figure

4 demonstrates the

angular dependences

of the magnetoresistance at

rotating

the

sample perpendicular

to the

highly-conducting ac-plane

for two

fields,

13 T and 30 T. As is seen in the

inset in

figure

4, there exist celrtain orientations for which a considerable

growth

of MR occurs

(7)

164 JOURNAL DE PHYSIQUE I N°

300

f

200 ~=3~

p iOO

~

o

iO 20 30

w j H, T

E

Î

~

Î

i

~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 the

negative slope

charactenstic of most common orientations. These celrtain field directions

correspond

to

sharp

MR maxima at the

high-field angular dependence (curve 2, Fig. 4).

The

high-field

AMRO appear to be

periodic

in tan q~ as well as the low-field

unes. It is impolrtant tu note that,

despite

the apparent closeness of the

positions

of the

high-

field MR maxima

(downward

arrows in

Fig.

4 at q~

m

34°,

63° and

72°)

and the low-field MR

minima

(upward

arrows at

~D =

26° and

65°),

the difference between them is out of the

expenmental

error range. The same can be said about the oscillation

penods

:

although

it is difficult to estimate them

correctly

due to lack of

experimental data,

one can see that, anyway, the low-field AMRO have a

larger period

then the

high-field

ones.

Discussion.

Basing

on the model

proposed recently

for the

groundstate

of

(BEDT-TTF )~TlHg (SCN

)~

[17],

one can understand the obtained results as follows.

The low-field

(below H~)

magnetotranspolrt is determined

by

the FS

magnetic

breakdown network forrned from the initial

cylinders

under a

periodic density-wave potential.

This FS includes new open sheets which may be

responsible

for

high

MR at H

~ l1 T. The

relatively complicated

SdH

oscillations, including

the

enormously

strong second

harmomc,

are due to the breakdown between the open sheets and small

cylindrical pockets [18].

The new open

sheets are aise consistent with the low-field AMRO.

In the

high-field

range, 1-e- above

H~,

the classical pan of MR tends to a constant value at

H L ac and the SdH oscillations demonstrate

extremely

strong fundamental

frequency,

670

T,

and

only

a small second harmonic contribution consistent with that

expected

from the Lifshits-

Kosevich formula. This is very similar to the case of the

Tl(SeCN)-sait (Fig. 3)

and

(8)

(BEDT-TTF )~NH~Hg(SCN)~ [25]

which do non

undergo

the

phase

transition. Hence we may

conclude that strong

magnetic

field restores the

high-temperature

electronic state in

(BEDT-TTF)~MHg(SCN)~

with M

= Tl and K with the FS

including

the

quasi-ID planes perpendicular

to the a-direction and

quasi-2D cylinders.

This is in agreement with the

phase diagram proposed

for

(BEDT-TTF )~KHg (SCN

)~ l

9, 20].

In this case, the

conductivity

under

magnetic

field

perpendicular

to the

ac-plane

should be dominated

by

the FS

cylinders

that leads to the saturation of the MR to a value much lower than in the low-field

phase.

Thus, the MR kink must manifest the

phase

transition between the

low-field-low-temperature

state and the

high-field/high-temperature

one. The

hysteresis

indicates that we deal with the first order transition. It is

interesting

to note the strong effect of temperature on the

hysteresis magnitude, àR(H),

whereas its

edges, H~

and

H~,

remain almost

unchanged

within the studied

temperature interval.

Since the

magnetic

breakdown network does not exist any more in the

high-field phase

and the FS is

expected

to be the same as above

T~,

the SdH effect is contributed

by

semi-classical

orbits on the

quasi-2D cylinder.

This leads to the

simplification

of the oscillation spectrum and considerable enhancement of their

amplitude.

As is seen, in

palrticular,

in

figure1,

the oscillation

amplitude (norrnalized

to the

background MR)

is

approximately

the same as for the

Tl(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 in

high

fields

(Fig. 4,

curve

2) corresponds perfectly

to the FS

cylinder.

An

analogous

transition from the «

plane

» AMRO at T ~ T~ to the «

cylindric

» ones

above T~ has been very

recently

observed and

investigated

on

(BEDT-TTF )~KHg (SCN

)~

[26].

The

comparison

between the MR behavior

(BEDT-TTF )~TlHg (SCN

)~ and

(BEDT-TTF )~KHg(SCN)~

shows

clearly

the

identity

of their electronic

propelrties.

The

only quantitative

difference is that the charactenstic

fields, H~

and

H~,

are somewhat

higher

in the

Tl-contaimng compound.

Summanzing,

we have studied the

high-field magnetotranspolrt

of

(BEDT- TTF)2TlHg(XCN)4

with X

=

S and Se. The MR behavior of

(BEDT-TTF)2 TlHg(SCN)4

has

been shown to share ail the characteristic features with its

K-containing analog.

The

comparison

of the MR of two latter

compounds

with the

Tl(SeCN)-sait

supports

strongly

the idea that their

high-field

electronic states are identical to the

high-temperature

ones. The classical MR as well as the

angular

and SdH oscillations can be understood within the model

proposed

in

[17]

for the

low-temperature

electronic state of

(BEDT-TTF)~TlHg(SCN)4.

The MR kink

corresponds

most

hkely

to the fisrt order

phase

transition between the « low-

temperature-low-field»

and the

«high-temperature/high-field

» states. Of course, fulrther

investigations

are to be done to

clarify

the mechanism

responsible

for the

phase

transition and detalize the nature of the «

low-temperature-low-field

» state in these

compounds.

Acknowledgements.

We are thankful to N. E. Alekseevskii and T. Palewski for their kind permission to

perform

a

part of the measurements in the Intemational

Laboratory

of

Strong Magnetic

Fields and Low

Temperatures

in

Wroclaw,

I. F.

Schegolev,

E. B.

Yagubskii

and R. Parfeniev for their interest and

encouragement.

The work was

partly supported by

the Intemational Soros Foundation

awarded

by

the Amencan

Physical Society. M.V.K.,

V.N.L. and N-D-K-

aknowledge

the

Russian Foundation for Fundamental Research Grant No. 93-02-14246.

(9)

166 JOURNAL DE

PHYSIQUE

I N°

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L. P.,

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E. B, and Zvarikina A. V.,

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