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Quantum Simulation Topological Quantum Computing

Chern Insulators on Singular Geometries

arXiv

Authors: Ai-Lei He, Wei-Wei Luo, Yi-Fei Wang, Chang-De Gong

Year

2017

Paper ID

24865

Status

Preprint

Abstract Read

~2 min

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Abstract

Topological quantum states have been proposed and investigated on two-dimensional flat surfaces or lattices with different geometries like the plane, cylinder and torus. Here, we study quantum anomalous Hall (QAH) or Chern insulator (CI) states on two-dimensional singular surfaces (such as conical and helicoid-like surfaces). Such singular geometries can be constructed based on the disk geometry and a defined unit sector with n-fold rotational symmetry. The singular geometry induces novel and intriguing features of CI/QAH states, such as in-gap and in-band core states, charge fractionalization, and multiple branches of edge excitations.

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This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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Topological quantum states have been proposed and investigated on two-dimensional flat surfaces or lattices with different geometries like the plane, cylinder and torus.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1711.10116 [2] arXiv https://arxiv.org/abs/1711.10116 [3] Publisher https://arxiv.org/abs/1711.10116

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