Elementary formula for the Hall conductivity of interacting systems

被引:14
作者
Neupert, Titus [1 ]
Santos, Luiz [2 ]
Chamon, Claudio [3 ]
Mudry, Christopher [1 ]
机构
[1] Paul Scherrer Inst, Condensed Matter Theory Grp, PSI, CH-5232 Villigen, Switzerland
[2] Harvard Univ, Sch Med, Dept Phys, Cambridge, MA 02138 USA
[3] Boston Univ, Dept Phys, Boston, MA 02215 USA
来源
PHYSICAL REVIEW B | 2012年 / 86卷 / 16期
基金
瑞士国家科学基金会;
关键词
SUPERCONDUCTIVITY; CONDUCTANCE; STATES;
D O I
10.1103/PhysRevB.86.165133
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A formula for the Hall conductivity of interacting electrons is given under the assumption that the ground state manifold is N-gs-fold degenerate and discrete translation symmetry is neither explicitly nor spontaneously broken.
引用
收藏
页数:7
相关论文
共 28 条
[1]   HOMOTOPY AND QUANTIZATION IN CONDENSED MATTER PHYSICS [J].
AVRON, JE ;
SEILER, R ;
SIMON, B .
PHYSICAL REVIEW LETTERS, 1983, 51 (01) :51-53
[2]   Emergent many-body translational symmetries of Abelian and non-Abelian fractionally filled topological insulators [J].
Bernevig, B. Andrei ;
Regnault, N. .
PHYSICAL REVIEW B, 2012, 85 (07)
[3]   EQUIVALENCE OF THE RESONATING-VALENCE-BOND AND FRACTIONAL QUANTUM HALL STATES [J].
KALMEYER, V ;
LAUGHLIN, RB .
PHYSICAL REVIEW LETTERS, 1987, 59 (18) :2095-2098
[4]   HALL EFFECT IN FERROMAGNETICS [J].
KARPLUS, R ;
LUTTINGER, JM .
PHYSICAL REVIEW, 1954, 95 (05) :1154-1160
[5]   FRACTIONAL QUANTUM HALL-EFFECT IN A PERIODIC POTENTIAL [J].
KOL, A ;
READ, N .
PHYSICAL REVIEW B, 1993, 48 (12) :8890-8898
[6]   THE RELATIONSHIP BETWEEN HIGH-TEMPERATURE SUPERCONDUCTIVITY AND THE FRACTIONAL QUANTUM HALL-EFFECT [J].
LAUGHLIN, RB .
SCIENCE, 1988, 242 (4878) :525-533
[7]  
LAUGHLIN RB, 1981, PHYS REV B, V23, P5632, DOI 10.1103/PhysRevB.23.5632
[8]  
Liu T., ARXIV12062626
[9]  
Liu Z., PHYS REV LE IN PRESS
[10]  
Murthy G., ARXIV12072133