• 文献标题:   Theory of the Half-integer Quantum Hall Effect in Graphene
  • 文献类型:   Article
  • 作  者:   FUJITA S, SUZUKI A
  • 作者关键词:   quantum hall effect, composite boson fermion, superconducting energy gap, phonon exchange attraction
  • 出版物名称:   INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • ISSN:   0020-7748 EI 1572-9575
  • 通讯作者地址:   Tokyo Univ Sci
  • 被引频次:   1
  • DOI:   10.1007/s10773-016-3106-8
  • 出版年:   2016

▎ 摘  要

The unusual quantum Hall effect (QHE) in graphene is described in terms of the composite (c-) bosons, which move with a linear dispersion relation. The "electron" (wave packet) moves easier in the direction [1 1 0 c-axis] ae [1 1 0] of the honeycomb lattice than perpendicular to it, while the "hole" moves easier in [0 0 1]. Since "electrons" and "holes" move in different channels, the particle densities can be high especially when the Fermi surface has "necks". The strong QHE arises from the phonon exchange attraction in the neighborhood of the "neck" surfaces. The plateau observed for the Hall conductivity and the accompanied resistivity drop is due to the superconducting energy gap caused by the Bose-Einstein condensation of the c-bosons, each forming from a pair of one-electron-two-fluxons c-fermions by phonon-exchange attraction. The half-integer quantization rule for the Hall conductivity: (1/2)(2P-1)(4e (2)/h), P=1,2,..., is derived.