Hidden massive Dirac fermions in effective field theory for integral quantum Hall transitions.
Hidden massive Dirac fermions in effective field theory for integral quantum Hall transitions.
复制标题
积分量子霍尔跃迁有效场论中隐藏的大量狄拉克费米子。
DOI：
10.1103/physrevb.54.4898
复制
发表时间：
1996
期刊：
影响因子：
--
通讯作者：
Wu
中科院分区：
文献类型：
--
作者：
Hatsugai;Kohmoto;Wu
平面晶格系统中由于能隙塌缩导致的积分量子霍尔平台跃迁可以通过狄拉克费米子的有效场论来描述。我们讨论如何在平台转变之前和之后重现霍尔电导 σ xy 的正确积分值，这是由微观拓扑不变量决定的。除了能隙闭合时出现的无质量狄拉克费米子外，σ xy 的匹配条件还需要引入质量大的狄拉克费米子，作为有效场理论中的“观众”。对于晶格上的非相互作用电子，我们根据与边缘态密切相关的磁布里渊区涡旋的微观信息，给出了确定这些巨大观众的一般处方。我们的描述在具有最近邻和次近邻跳跃的模型中进行了演示。© 1996 美国物理学会。
Integral quantum Hall plateau transitions in a planar lattice system due to gap collapse can be described by an effective field theory with Dirac fermions. We discuss how to reproduce the correct integral values for the Hall conductance σ xy before and after the plateau transition, which are dictated by the microscopic topological invariant. In addition to the massless Dirac fermions that appear at gap closing, the matching condition of σ xy requires the introduction of massive Dirac fermions, as ‘‘spectators,’’in the effective field theory. For noninteracting electrons on the lattice, we give a general prescription to determine these massive spectators, based on microscopic information on the vortices in the magnetic Brillouin zone which are closely related to edge states. Our description is demonstrated in a model with both nearest-neighbor and next-nearest-neighbor hoppings.© 1996 The American Physical Society.