Quantum Hall Conductivity in the Presence of Interactions

被引：0

作者：

Wu, Xi ^{[1
]}

Zubkov, Mikhail ^{[1
]}

机构：

[1] Ariel Univ, Phys Dept, IL-40700 Ariel, Israel

来源：

SYMMETRY-BASEL | 2020年 / 12卷 / 02期

关键词：

Integer Quantum Hall Effect; Fractional Quantum Hall Effect; inter-electron interactions; TEMPERATURE PHASE-DIAGRAMS; DIMENSIONAL FERMI SYSTEMS; LUTTINGER LIQUID; LATTICE SYSTEMS; STABILITY; UNIVERSALITY; QUANTIZATION; REALIZATION; CONDUCTANCE; ELECTRONS;

D O I：

10.3390/sym12020200

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We discuss quantum Hall effect in the presence of arbitrary pair interactions between electrons. It is shown that, irrespective of the interaction strength, the Hall conductivity is given by the filling fraction of Landau levels averaged over the ground state of the system. This conclusion remains valid for both the integer and fractional quantum Hall effect.

引用

页数：9

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