Realizing Tao-Thouless-like state in fractional quantum spin Hall effect

Realizing Tao-Thouless-like state in fractional quantum spin Hall effect

The quest for exotic quantum states of matter has become one of the most challenging tasks in modern condensed matter communications. Interplay between topology and strong electron-electron interactions leads to lots of fascinating effects since the discovery of the fractional quantum Hall effect. H...

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Main Authors: Liu, Chen-Rong, Guo, Yao-Wu, Li, Zhuo-Jun, Li, Wei, Chen, Yan
Format: Online
Language:English
Published: Nature Publishing Group 2016
Online Access:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5030710/
id pubmed-5030710
recordtype oai_dc
spelling pubmed-50307102016-09-29 Realizing Tao-Thouless-like state in fractional quantum spin Hall effect Liu, Chen-Rong Guo, Yao-Wu Li, Zhuo-Jun Li, Wei Chen, Yan Article The quest for exotic quantum states of matter has become one of the most challenging tasks in modern condensed matter communications. Interplay between topology and strong electron-electron interactions leads to lots of fascinating effects since the discovery of the fractional quantum Hall effect. Here, we theoretically study the Rashba-type spin-orbit coupling effect on a fractional quantum spin Hall system by means of finite size exact diagonalization. Numerical evidences from the ground degeneracies, states evolutions, entanglement spectra, and static structure factor calculations demonstrate that non-trivial fractional topological Tao-Thouless-like quantum state can be realized in the fractional quantum spin Hall effect in a thin torus geometric structure by tuning the strength of spin-orbit coupling. Furthermore, the experimental realization of the Tao-Thouless-like state as well as its evolution in optical lattices are also proposed. The importance of this prediction provides significant insight into the realization of exotic topological quantum states in optical lattice, and also opens a route for exploring the exotic quantum states in condensed matters in future. Nature Publishing Group 2016-09-21 /pmc/articles/PMC5030710/ /pubmed/27649678 http://dx.doi.org/10.1038/srep33472 Text en Copyright © 2016, The Author(s) http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
repository_type Open Access Journal
institution_category Foreign Institution
institution US National Center for Biotechnology Information
building NCBI PubMed
collection Online Access
language English
format Online
author Liu, Chen-Rong
Guo, Yao-Wu
Li, Zhuo-Jun
Li, Wei
Chen, Yan
spellingShingle Liu, Chen-Rong
Guo, Yao-Wu
Li, Zhuo-Jun
Li, Wei
Chen, Yan
Realizing Tao-Thouless-like state in fractional quantum spin Hall effect
author_facet Liu, Chen-Rong
Guo, Yao-Wu
Li, Zhuo-Jun
Li, Wei
Chen, Yan
author_sort Liu, Chen-Rong
title Realizing Tao-Thouless-like state in fractional quantum spin Hall effect
title_short Realizing Tao-Thouless-like state in fractional quantum spin Hall effect
title_full Realizing Tao-Thouless-like state in fractional quantum spin Hall effect
title_fullStr Realizing Tao-Thouless-like state in fractional quantum spin Hall effect
title_full_unstemmed Realizing Tao-Thouless-like state in fractional quantum spin Hall effect
title_sort realizing tao-thouless-like state in fractional quantum spin hall effect
description The quest for exotic quantum states of matter has become one of the most challenging tasks in modern condensed matter communications. Interplay between topology and strong electron-electron interactions leads to lots of fascinating effects since the discovery of the fractional quantum Hall effect. Here, we theoretically study the Rashba-type spin-orbit coupling effect on a fractional quantum spin Hall system by means of finite size exact diagonalization. Numerical evidences from the ground degeneracies, states evolutions, entanglement spectra, and static structure factor calculations demonstrate that non-trivial fractional topological Tao-Thouless-like quantum state can be realized in the fractional quantum spin Hall effect in a thin torus geometric structure by tuning the strength of spin-orbit coupling. Furthermore, the experimental realization of the Tao-Thouless-like state as well as its evolution in optical lattices are also proposed. The importance of this prediction provides significant insight into the realization of exotic topological quantum states in optical lattice, and also opens a route for exploring the exotic quantum states in condensed matters in future.
publisher Nature Publishing Group
publishDate 2016
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5030710/
_version_ 1613656791936139264

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