Noncommutative Quantum Hall Effect of Bilayer Systems

被引：0
|
作者：
Mutallip Tohti [1 ]
Sayipjamal Dulat [1 ]
李康 [2 ]
机构：
[1] School of Physics Science and Technology,Xinjiang University
[2] Department of Physics,Hangzhou Normal University
来源：
Communications in Theoretical Physics | 2010年 / 54卷 / 07期
基金：
中国国家自然科学基金;
关键词：
quantum Hall effect; noncommutative quantum mechanics; bilayer systems;
D O I：
暂无
中图分类号：
O482 [固体性质];
学科分类号：
070205 ; 0805 ; 080502 ; 0809 ;
摘要：
In this paper we study the bilayer quantum Hall (QH) effect on a noncommutative phase space (NCPS).Byusing perturbation theory,we calculate the energy spectrum,eigenfunction,Hall current,and Hall conductivity of thebilayer QH system,and express them in terms of noncommutative parameters θ and ■,respectively.In our calculation,we assume that these parameters vary from layer to layer.
引用
收藏
页码：43 / 46
页数：4
相关论文
共 50 条
  • [1] Noncommutative Quantum Hall Effect of Bilayer Systems
    Tohti, Mutallip
    Dulat, Sayipjamal
    Li Kang
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2010, 54 (01) : 43 - 46
  • [2] Quantum Hall effect in bilayer systems and the noncommutative plane: A toy model approach
    Basu, B
    Ghosh, S
    PHYSICS LETTERS A, 2005, 346 (1-3) : 133 - 140
  • [3] Quantum Hall effect in noncommutative quantum mechanics
    Sayipjamal Dulat
    Kang Li
    The European Physical Journal C, 2009, 60 : 163 - 168
  • [4] Quantum Hall effect in noncommutative quantum mechanics
    Dulat, Sayipjamal
    Li, Kang
    EUROPEAN PHYSICAL JOURNAL C, 2009, 60 (01): : 163 - 168
  • [5] QUANTUM HALL EFFECT AND NONCOMMUTATIVE GEOMETRY
    Carey, Alan L.
    Hannabuss, Keith C.
    Mathai, Varghese
    JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS, 2006, 6 : 16 - 37
  • [6] Chern-Simons terms in noncommutative geometry and its application to bilayer quantum hall systems
    John, V
    Viet, NA
    Wali, C
    PHYSICS LETTERS B, 1996, 371 (3-4) : 252 - 260
  • [7] Anomalous Hall resistance in bilayer quantum Hall systems
    Ezawa, Z. F.
    Suzuki, S.
    Tsitsishvili, G.
    PHYSICAL REVIEW B, 2007, 76 (04)
  • [8] THE NONCOMMUTATIVE GEOMETRY OF THE QUANTUM HALL-EFFECT
    BELLISSARD, J
    VANELST, A
    SCHULZBALDES, H
    JOURNAL OF MATHEMATICAL PHYSICS, 1994, 35 (10) : 5373 - 5451
  • [9] Skyrmions in the quantum Hall effect and noncommutative solitons
    Pasquier, V
    PHYSICS LETTERS B, 2000, 490 (3-4) : 258 - 262
  • [10] Anomalous bilayer quantum Hall effect
    Sethi G.
    Sheng D.N.
    Liu F.
    Physical Review B, 2023, 108 (16)
12345