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High-Dimensional Topological Insulators with Quaternionic Analytic Landau Levels

We study the 3D topological insulators in the continuum by coupling spin-1/2 fermions to the Aharonov-Casher SU(2) gauge field. They exhibit flat Landau levels in which orbital angular momentum and spin are coupled with a fixed helicity. The 3D lowest Landau level wavefunctions exhibit the quaternio... Full description

Journal Title: arXiv.org May 21, 2013
Main Author: Li, Yi
Other Authors: Wu, Congjun
Format: Electronic Article Electronic Article
Language: English
Subjects:
ID: DOI: 10.1103/PhysRevLett.110.216802
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recordid: proquest2085627464
title: High-Dimensional Topological Insulators with Quaternionic Analytic Landau Levels
format: Article
creator:
  • Li, Yi
  • Wu, Congjun
subjects:
  • Mathematical Analysis
  • Angular Momentum
  • Fermions
  • Helicity
  • Insulators
  • Two Dimensional Analysis
  • Topology
  • Wave Functions
ispartof: arXiv.org, May 21, 2013
description: We study the 3D topological insulators in the continuum by coupling spin-1/2 fermions to the Aharonov-Casher SU(2) gauge field. They exhibit flat Landau levels in which orbital angular momentum and spin are coupled with a fixed helicity. The 3D lowest Landau level wavefunctions exhibit the quaternionic analyticity as a generalization of the complex analyticity of the 2D case. Each Landau level contributes one branch of gapless helical Dirac modes to the surface spectra, whose topological properties belong to the Z2-class. The flat Landau levels can be generalized to an arbitrary dimension. Interaction effects and experimental realizations are also studied.
language: eng
source:
identifier: DOI: 10.1103/PhysRevLett.110.216802
fulltext: fulltext_linktorsrc
url: Link


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identifierDOI: 10.1103/PhysRevLett.110.216802
subjectMathematical Analysis ; Angular Momentum ; Fermions ; Helicity ; Insulators ; Two Dimensional Analysis ; Topology ; Wave Functions
descriptionWe study the 3D topological insulators in the continuum by coupling spin-1/2 fermions to the Aharonov-Casher SU(2) gauge field. They exhibit flat Landau levels in which orbital angular momentum and spin are coupled with a fixed helicity. The 3D lowest Landau level wavefunctions exhibit the quaternionic analyticity as a generalization of the complex analyticity of the 2D case. Each Landau level contributes one branch of gapless helical Dirac modes to the surface spectra, whose topological properties belong to the Z2-class. The flat Landau levels can be generalized to an arbitrary dimension. Interaction effects and experimental realizations are also studied.
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abstractWe study the 3D topological insulators in the continuum by coupling spin-1/2 fermions to the Aharonov-Casher SU(2) gauge field. They exhibit flat Landau levels in which orbital angular momentum and spin are coupled with a fixed helicity. The 3D lowest Landau level wavefunctions exhibit the quaternionic analyticity as a generalization of the complex analyticity of the 2D case. Each Landau level contributes one branch of gapless helical Dirac modes to the surface spectra, whose topological properties belong to the Z2-class. The flat Landau levels can be generalized to an arbitrary dimension. Interaction effects and experimental realizations are also studied.
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doi10.1103/PhysRevLett.110.216802
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