Cargando…
Emergent Chiral Spin Liquid: Fractional Quantum Hall Effect in a Kagome Heisenberg Model
The fractional quantum Hall effect (FQHE) realized in two-dimensional electron systems under a magnetic field is one of the most remarkable discoveries in condensed matter physics. Interestingly, it has been proposed that FQHE can also emerge in time-reversal invariant spin systems, known as the chi...
Autores principales: | , , |
---|---|
Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group
2014
|
Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4159632/ https://www.ncbi.nlm.nih.gov/pubmed/25204626 http://dx.doi.org/10.1038/srep06317 |
_version_ | 1782334265196806144 |
---|---|
author | Gong, Shou-Shu Zhu, Wei Sheng, D. N. |
author_facet | Gong, Shou-Shu Zhu, Wei Sheng, D. N. |
author_sort | Gong, Shou-Shu |
collection | PubMed |
description | The fractional quantum Hall effect (FQHE) realized in two-dimensional electron systems under a magnetic field is one of the most remarkable discoveries in condensed matter physics. Interestingly, it has been proposed that FQHE can also emerge in time-reversal invariant spin systems, known as the chiral spin liquid (CSL) characterized by the topological order and the emerging of the fractionalized quasiparticles. A CSL can naturally lead to the exotic superconductivity originating from the condense of anyonic quasiparticles. Although CSL was highly sought after for more than twenty years, it had never been found in a spin isotropic Heisenberg model or related materials. By developing a density-matrix renormalization group based method for adiabatically inserting flux, we discover a FQHE in a [Image: see text] isotropic kagome Heisenberg model. We identify this FQHE state as the long-sought CSL with a uniform chiral order spontaneously breaking time reversal symmetry, which is uniquely characterized by the half-integer quantized topological Chern number protected by a robust excitation gap. The CSL is found to be at the neighbor of the previously identified Z(2) spin liquid, which may lead to an exotic quantum phase transition between two gapped topological spin liquids. |
format | Online Article Text |
id | pubmed-4159632 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2014 |
publisher | Nature Publishing Group |
record_format | MEDLINE/PubMed |
spelling | pubmed-41596322014-09-16 Emergent Chiral Spin Liquid: Fractional Quantum Hall Effect in a Kagome Heisenberg Model Gong, Shou-Shu Zhu, Wei Sheng, D. N. Sci Rep Article The fractional quantum Hall effect (FQHE) realized in two-dimensional electron systems under a magnetic field is one of the most remarkable discoveries in condensed matter physics. Interestingly, it has been proposed that FQHE can also emerge in time-reversal invariant spin systems, known as the chiral spin liquid (CSL) characterized by the topological order and the emerging of the fractionalized quasiparticles. A CSL can naturally lead to the exotic superconductivity originating from the condense of anyonic quasiparticles. Although CSL was highly sought after for more than twenty years, it had never been found in a spin isotropic Heisenberg model or related materials. By developing a density-matrix renormalization group based method for adiabatically inserting flux, we discover a FQHE in a [Image: see text] isotropic kagome Heisenberg model. We identify this FQHE state as the long-sought CSL with a uniform chiral order spontaneously breaking time reversal symmetry, which is uniquely characterized by the half-integer quantized topological Chern number protected by a robust excitation gap. The CSL is found to be at the neighbor of the previously identified Z(2) spin liquid, which may lead to an exotic quantum phase transition between two gapped topological spin liquids. Nature Publishing Group 2014-09-10 /pmc/articles/PMC4159632/ /pubmed/25204626 http://dx.doi.org/10.1038/srep06317 Text en Copyright © 2014, Macmillan Publishers Limited. All rights reserved http://creativecommons.org/licenses/by-nc-nd/4.0/ This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 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 in order to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by-nc-nd/4.0/ |
spellingShingle | Article Gong, Shou-Shu Zhu, Wei Sheng, D. N. Emergent Chiral Spin Liquid: Fractional Quantum Hall Effect in a Kagome Heisenberg Model |
title | Emergent Chiral Spin Liquid: Fractional Quantum Hall Effect in a Kagome Heisenberg Model |
title_full | Emergent Chiral Spin Liquid: Fractional Quantum Hall Effect in a Kagome Heisenberg Model |
title_fullStr | Emergent Chiral Spin Liquid: Fractional Quantum Hall Effect in a Kagome Heisenberg Model |
title_full_unstemmed | Emergent Chiral Spin Liquid: Fractional Quantum Hall Effect in a Kagome Heisenberg Model |
title_short | Emergent Chiral Spin Liquid: Fractional Quantum Hall Effect in a Kagome Heisenberg Model |
title_sort | emergent chiral spin liquid: fractional quantum hall effect in a kagome heisenberg model |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4159632/ https://www.ncbi.nlm.nih.gov/pubmed/25204626 http://dx.doi.org/10.1038/srep06317 |
work_keys_str_mv | AT gongshoushu emergentchiralspinliquidfractionalquantumhalleffectinakagomeheisenbergmodel AT zhuwei emergentchiralspinliquidfractionalquantumhalleffectinakagomeheisenbergmodel AT shengdn emergentchiralspinliquidfractionalquantumhalleffectinakagomeheisenbergmodel |