The mixed-state Hall conductivity of single-crystal films Nd₂–xCexCuO₄₊δ (x = 0.14)
The magnetic-field dependencies of the longitudinal and Hall resistivity of the electron-doped compounds Nd₂–xCexCuO₄₊δ in underdoped region (x = 0.14) were investigated. It was established experimentally a strong magnetic field dependence of the Hall conductivity, σxy(B) = C – b/B, in the region of...
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irk-123456789-1294272018-01-20T03:03:19Z The mixed-state Hall conductivity of single-crystal films Nd₂–xCexCuO₄₊δ (x = 0.14) Shelushinina, N.G. Harus, G.I. Charikova, T.B. Petukhov, D.S. Petukhova, O.E. Ivanov, A.A. XXI Уральская международная зимняя школа по физике полупроводников The magnetic-field dependencies of the longitudinal and Hall resistivity of the electron-doped compounds Nd₂–xCexCuO₄₊δ in underdoped region (x = 0.14) were investigated. It was established experimentally a strong magnetic field dependence of the Hall conductivity, σxy(B) = C – b/B, in the region of magnetic fields corresponding to a transition from superconducting to resistive state. The observed feature can be explained with the sum of contributions of the quasiparticles and moving Abrikosov vortices into Hall effect in a mixed state of type-II superconductor. 2017 Article The mixed-state Hall conductivity of single-crystal films Nd₂–xCexCuO₄₊δ (x = 0.14) / N.G. Shelushinina, G.I. Harus, T.B. Charikova, D.S. Petukhov, O.E. Petukhova, A.A. Ivanov // Физика низких температур. — 2017. — Т. 43, № 4. — С. 593-595. — Бібліогр.: 20 назв. — англ. 0132-6414 PACS: 73.43.–f, 73.43.Qt http://dspace.nbuv.gov.ua/handle/123456789/129427 en Физика низких температур Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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XXI Уральская международная зимняя школа по физике полупроводников XXI Уральская международная зимняя школа по физике полупроводников |
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XXI Уральская международная зимняя школа по физике полупроводников XXI Уральская международная зимняя школа по физике полупроводников Shelushinina, N.G. Harus, G.I. Charikova, T.B. Petukhov, D.S. Petukhova, O.E. Ivanov, A.A. The mixed-state Hall conductivity of single-crystal films Nd₂–xCexCuO₄₊δ (x = 0.14) Физика низких температур |
| description |
The magnetic-field dependencies of the longitudinal and Hall resistivity of the electron-doped compounds Nd₂–xCexCuO₄₊δ in underdoped region (x = 0.14) were investigated. It was established experimentally a strong magnetic field dependence of the Hall conductivity, σxy(B) = C – b/B, in the region of magnetic fields corresponding to a transition from superconducting to resistive state. The observed feature can be explained with the sum of contributions of the quasiparticles and moving Abrikosov vortices into Hall effect in a mixed state of type-II superconductor. |
| format |
Article |
| author |
Shelushinina, N.G. Harus, G.I. Charikova, T.B. Petukhov, D.S. Petukhova, O.E. Ivanov, A.A. |
| author_facet |
Shelushinina, N.G. Harus, G.I. Charikova, T.B. Petukhov, D.S. Petukhova, O.E. Ivanov, A.A. |
| author_sort |
Shelushinina, N.G. |
| title |
The mixed-state Hall conductivity of single-crystal films Nd₂–xCexCuO₄₊δ (x = 0.14) |
| title_short |
The mixed-state Hall conductivity of single-crystal films Nd₂–xCexCuO₄₊δ (x = 0.14) |
| title_full |
The mixed-state Hall conductivity of single-crystal films Nd₂–xCexCuO₄₊δ (x = 0.14) |
| title_fullStr |
The mixed-state Hall conductivity of single-crystal films Nd₂–xCexCuO₄₊δ (x = 0.14) |
| title_full_unstemmed |
The mixed-state Hall conductivity of single-crystal films Nd₂–xCexCuO₄₊δ (x = 0.14) |
| title_sort |
mixed-state hall conductivity of single-crystal films nd₂–xcexcuo₄₊δ (x = 0.14) |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2017 |
| topic_facet |
XXI Уральская международная зимняя школа по физике полупроводников |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/129427 |
| citation_txt |
The mixed-state Hall conductivity of single-crystal films Nd₂–xCexCuO₄₊δ (x = 0.14) / N.G. Shelushinina, G.I. Harus, T.B. Charikova, D.S. Petukhov, O.E. Petukhova, A.A. Ivanov // Физика низких температур. — 2017. — Т. 43, № 4. — С. 593-595. — Бібліогр.: 20 назв. — англ. |
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Физика низких температур |
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Low Temperature Physics/Fizika Nizkikh Temperatur, 2017, v. 43, No. 4, pp. 593–595
The mixed-state Hall conductivity of single-crystal films
Nd2–xCexCuO4+δ (x = 0.14)
N.G. Shelushinina1, G.I. Harus1, T.B. Charikova1,2, D.S. Petukhov1,
O.E. Petukhova1, and A.A. Ivanov3
1M.N. Mikheev Institute of Metal Physics Ural Branch of RAS, Ekaterinburg, Russia
E-mail: Charikova@imp.uran.ru
2Ural Federal University, Ekaterinburg, Russia
3National Research Nuclear University MEPhI, Moscow, Russia
Received December 6, 2016, published online February 24, 2017
The magnetic-field dependencies of the longitudinal and Hall resistivity of the electron-doped compounds
Nd2–xCexCuO4+δ in underdoped region (x = 0.14) were investigated. It was established experimentally a strong
magnetic field dependence of the Hall conductivity, σxy(B) = C – b/B, in the region of magnetic fields corre-
sponding to a transition from superconducting to resistive state. The observed feature can be explained with the
sum of contributions of the quasiparticles and moving Abrikosov vortices into Hall effect in a mixed state of
type-II superconductor.
PACS: 73.43.–f Quantum Hall effects;
73.43.Qt Magnetoresistance.
Keywords: Hall effect, electron-doped superconductor, mixed state.
Introduction
One of the most striking features of the vortex motion
in the oxide superconductors is the behavior of the Hall
resistivity which attracted imperishable attention.
In a type-II superconductor in an applied magnetic field
B, quantized magnetic vortices (fluxes) are formed by
supercurrents, at the mixed state, for B larger than the lower
critical field Bc1 and less than the upper critical field Bc2.
The high-temperature superconductors exhibit puzzling Hall
effect phenomena in the mixed state. One of the most puz-
zling of these features is a reversal of the sign of the Hall
effect in the neighborhood of the superconducting transition
as the temperature or the magnetic field is varied [1].
The Hall sign is determined by the topology of the
Fermi surface in the normal state, while it is determined by
the vortex motion in the superconducting state. The classi-
cal theories of vortex motion, the Bardeen–Stephen [3] and
Nozieres–Vinen [3] models, predict that the superconduct-
ing and normal states will have the same Hall sign, and
thus cannot explain this anomaly.
A number of theoretical predictions have been made
concerning the behavior of the flux-flow electric tran-
sport coefficients in type-II superconductors. Several at-
tempts to understand the Hall anomaly have been under-
taken, but the microscopic origin of this phenomenon
remains a controversial [4].
A phenomenological theory based on the time depend-
ent Ginzburg–Landau (TDGL) equation has been shown to
be quite successful in describing the Hall effect in the su-
perconducting state [5,6]. According to the TDGL theory,
the vortex Hall conductivity arising from the hydrodynam-
ic contribution plays an important role in determining the
Hall sign at low fields.
In a light of recent theoretical developments it seems
useful to further analyze the resistivity and Hall-effect
data in a mixed state of diverse materials. The systematic
investigations of magnetic-field dependence of longitudi-
nal and Hall resistances in the electron-doped compounds
Nd2–xCexCuO4+δ at underdoped region (x = 0.14) with
varying degrees of disorder (δ) were held by us. In our
previous work [7] the correlation between the longitudi-
nal electrical resistivity and the Hall resistivity in the re-
gion of magnetic fields corresponding to a transition from
superconducting to the normal states was established and
has been analyzed on the basis of scaling relations.
The aim of our present study is to find out features of
the Hall effect in the vortex state for the disordered
© N.G. Shelushinina, G.I. Harus, T.B. Charikova, D.S. Petukhov, O.E. Petukhova, and A.A. Ivanov, 2017
N.G. Shelushinina, G.I. Harus, T.B. Charikova, D.S. Petukhov, O.E. Petukhova, and A.A. Ivanov
Nd2–xCexCuO4+δ system at the under doped region (x =
= 0.14) which is on the border of the antiferromagnetic and
superconducting phases in electron-doped cuprates [8].
Experimental results and discussion
The resistivity and Hall-effect data were obtained simul-
taneously on a sample of electron-doped high-temperature
superconductor Nd2–xCexCuO4+δ (x = 0.14), with the ap-
plied magnetic field B oriented perpendicular to the copper-
oxygen planes (z-direction). The current density j in the
sample was in the x-direction, and the Hall electric field EH
was in the y-direction, indicating negatively charged current
carriers (electrons) in the normal state. The measurements of
the longitudinal resistivity ρxx and Hall resistivity ρxy as
functions of the external magnetic field B up to 12 T in
the temperature range T = 0.53–40 K in a mixed and a
normal states were made. The data for single crystal films
Nd2–xCexCuO4+δ with disorder parameter kFl = 6.0 are
presented on the Fig. 1 (the parameter kFl which serves as
a measure of disorder in a system was found from the
experimental value of ρxx [7]).
Because Hall conductivity is typically defined as
2/xy xy xxσ = ρ ρ (by assuming ρxx << ρxy) it is convenient to
discuss the Hall results using σxy(B) [9]. In Fig. 2 the field
dependences of the Hall conductivity for Nd2–xCexCuO4+δ
film (kFl = 6.0) are shown for various temperatures. It can be
seen from Fig. 2 that in the immediate vicinity of the transi-
tion from the superconducting to the resistive state the Hall
conductivity tends to diverge to a large positive (at T = 0.53
K) or negative (at T ≥ 0.7 K) value with decreasing field.
A more detailed picture for σxy(B) dependencies in the
mixed state is presented on Fig. 3. The data for T = 0.53 K
with a reversal of the sign of the Hall effect from negative
in the normal state (B >7.4 T) to positive in the mixed state
(B < 7.4 T) are given in a separate drawing on the inset of
Fig. 3 where the comparison of σxy(B) and ρxx(B) depend-
ences is also shown. It is seen that the field dependence of
σxy(B) changes approximately as 1/B at T = 8–10 K and
much more rapidly at low T = 0.53–1.35 K.
The σxy(B) dependence of such a type has repeatedly
been observed in the mixed state of high-Tc superconductors
Nd2–xCexCuO4+δ [10,11] and Sm2–xCexCuO4+δ [10], of
T12Ba2CaCu2O8 thin films [11], of T12Ba2CaCu2O8 epitax-
ial film and YBa2Cu3O7 single crystal before and after irra-
diation [12], of untwined single-crystal YBa2Cu3O7–δ [13],
of La2–xSrxCuO4 single-crystal thin films [14], of various p-
type high-Tc cuprates including La, Y-, Bi-based compounds
[15], of Hg-based superconducting thin films [16], of high-
quality Bi2Sr2CuOx single crystals [17], of Ba(Fe1–xCox)2As2
epitaxial film [18] and of Fe(Te,S) single crystal [19].
The conventional explanation of such σxy(B) behavior is
based on a microscopic approach using the time-dependent
Ginzburg-Landau theory which has been proposed by Dorsey
[5] and by Kopnin et al. [6]. According to this model, there
are two contributions to the σxy(B) in the mixed state:
Fig. 1. (Color online) Magnetic field dependencies of the longi-
tudinal resistivity ρxx(B) and Hall resistivity ρxy(B) for single
crystal films of underdoped (x = 0.14) Nd2–xCexCuO4+δ with
disorder parameters kFl = 6.0 at different temperatures.
Fig. 2. (Color online) The magnetic-field dependences of the Hall
conductivity, σxy(B), for Nd2–xCexCuO4+δ film in the underdoped
region (x = 0.14) for various temperatures.
Fig. 3. (Color online) The detailed picture for σxy(B) dependencies
in the mixed state of Nd2–xCexCuO4+δ film for various tempera-
tures. Inset shows a comparison of σxy(B) and ρxx(B) dependences
at T = 0.53 K.
594 Low Temperature Physics/Fizika Nizkikh Temperatur, 2017, v. 43, No. 4
The mixed-state Hall conductivity of single-crystal films Nd2–xCexCuO4+δ (x = 0.14)
( ) ( ) ( )n f
xy xy xyB B Bσ = σ + σ , (1)
where ( )n
xy Bσ is the conductivity of normal quasiparticles
that experience a Lorentz force inside the vortex core. The
second term 1/( )f
xy B Bσ is an anomalous contribution
due to the motion of vortices parallel to the electrical cur-
rent density j. As a possible origin of the longitudinal com-
ponent of the vortex velocity, Kopnin et al. [6] considered
the vortex-traction force by a transport supercurrent.
The quasiparticle term, n
xyσ , has the same sign as it is in
the normal state. Accordingly the sign reversal of the Hall
effect can occur if the vortex term, f
xyσ , has an opposite sign
to n
xyσ . However, the factors that fix the sign of f
xyσ are not
clear. A few microscopic calculations have suggested that the
vortex term can change its sign from the normal state de-
pending on the detailed electronic structure of the material.
A more specific mechanism for the sign change of the
Hall effect in the flux flow region is proposed by Feigel’man
et al. [20]. The difference δn between the electron density at
the center of the vortex core and that far outside the vortex
causes the additional contribution to the Hall conductivity
/f
xy e n Bσ = − δ . This contribution can be larger than the
conventional one in the dirty case ∆(T)τ < 1. If the carrier
density inside the core exceeds that far outside, a sign
change may occur as a function of temperature.
Note that in the model of Ref. 20 the observed in our
system quite strong dependence of f
xyσ on the temperature
(until the sign change) as well as the stronger than 1/B de-
pendence on magnetic field may well be explained by the
δn dependencies both on T and B, δn(B, T).
At low magnetic field the f
xyσ is the dominant term but
at higher field n
xyσ are important and should dominate
over ( )f
xy Bσ . If ( )f
xy Bσ has a different sign when com-
pared to ( )n
xy Bσ , it is possible to observe a sign reversal in
the Hall effect in the superconducting state (see, for exam-
ple, our data at 0.53 K).
Conclusions
The magnetic-field dependencies of longitudinal and
Hall resistivity were investigated in the electron-doped com-
pound Nd2–xCexCuO4+δ at underdoped region (x = 0.14)
which is on the border of the antiferromagnetic and super-
conducting phases in electron-doped cuprates. The special
attention was given to features of the Hall effect in the
mixed state of this superconducting material.
We have established that in a vicinity of the transition
from the superconducting to the resistive state the Hall
conductivity tends to diverge to a large positive or negative
value with decreasing field in analogy with the σxy(B) de-
pendencies repeatedly observed in the mixed state both of
p-type oxide superconductors and of Fe-based ones.
Within the framework of current theoretical concepts
such a behavior of σxy(B) arises from an anomalous contri-
bution 1/( )f
xy B Bσ due to the motion of vortices parallel to
the electrical current density in a flux-flow regime. It seems
important to demonstrate the versatility of this contribution
in a mixed state of manifold superconducting systems.
Acknowledgments
The research was carried within the state assignment of
theme «Electron» (No. 01201463326), supported in part by
the Program of fundamental research of the Ural Division of
Russian Academy of Sciences (RAS) «Quantum macro-
physics and nonlinear dynamics» (project N. 15-8-2-6) with
partial support of RFBR (grant No. 15-02-02270).
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Low Temperature Physics/Fizika Nizkikh Temperatur, 2017, v. 43, No. 4 595
Introduction
Experimental results and discussion
Conclusions
Acknowledgments
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