Quantum Hall effect on the Lobachevsky plane

被引:11
作者
Bulaev, DV [1 ]
Geyler, VA [1 ]
Margulis, VA [1 ]
机构
[1] Mordovian NP Ogarev State Univ, Saransk 430000, Russia
基金
俄罗斯基础研究基金会;
关键词
quantum Hall effect; Lobachevsky plane;
D O I
10.1016/S0921-4526(03)00402-2
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
The Hall conductivity of an electron gas on the surface of constant negative curvature (the Lobachevsky plane) in the presence of an orthogonal magnetic field is investigated. It is shown that the surface curvature decreases the quantum Hall plateau widths and shifts the steps in the Hall conductivity to higher magnetic fields (or to lower values of the chemical potential). An increase of temperature results in smearing of the steps. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码:180 / 185
页数:6
相关论文
共 30 条
[1]   Geometric phase related to point-interaction transport on a magnetic Lobachevsky plane [J].
Albeverio, SA ;
Exner, P ;
Geyler, VA .
LETTERS IN MATHEMATICAL PHYSICS, 2001, 55 (01) :9-16
[2]   Coulomb gas representation of quantum Hall effect on Riemann surfaces [J].
Alimohammadi, M ;
Sadjadi, HM .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (24) :4433-4440
[3]   Laughlin states on the Poincare half-plane and their quantum group symmetry [J].
Alimohammadi, M ;
Sadjadi, HM .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (17) :5551-5557
[4]   HALL CONDUCTANCE AND ADIABATIC CHARGE TRANSPORT OF LEAKY TORI [J].
AVRON, JE ;
KLEIN, M ;
PNUELI, A ;
SADUN, L .
PHYSICAL REVIEW LETTERS, 1992, 69 (01) :128-131
[5]   Analytic calculations of trial wave functions of the fractional quantum Hall effect on the sphere [J].
Batista, CLD ;
Li, DP .
PHYSICAL REVIEW B, 1997, 55 (03) :1582-1595
[6]   ELECTRON-PHONON INTERACTION AND TRANSPORT-PROPERTIES IN THE QUANTUM-HALL EFFECT REGIME [J].
BLANTER, YM ;
LIVANOV, DV .
PHYSICAL REVIEW B, 1994, 49 (04) :2955-2958
[7]   Gauge-periodic point perturbations on the Lobachevsky plane [J].
Bruning, J ;
Geiler, VA .
THEORETICAL AND MATHEMATICAL PHYSICS, 1999, 119 (03) :687-697
[8]   Quantum Hall effect on the hyperbolic plane in the presence of disorder [J].
Carey, A ;
Hannabuss, K ;
Mathai, V .
LETTERS IN MATHEMATICAL PHYSICS, 1999, 47 (03) :215-236
[9]   Quantum hall effect on the hyperbolic plane [J].
Carey, AL ;
Hannabuss, KC ;
Mathai, V ;
McCann, P .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1998, 190 (03) :629-673
[10]   Two-dimensional electron gas in a uniform magnetic field in the presence of a δ-impurity [J].
Cavalcanti, RM ;
de Carvalho, CAA .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (10) :2391-2399