Interacting Topological Insulators with Synthetic Dimensions
Recent developments of experimental techniques have given us unprecedented opportunities of studying topological insulators in high dimensions, while some of the dimensions are “synthetic,” in the sense that the effective lattice momenta along these synthetic dimensions are controllable periodic tun...
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2018-11-01
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Series: | Physical Review X |
Online Access: | http://doi.org/10.1103/PhysRevX.8.041030 |
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doaj-035c9cdb1aed4eee8cb0054ae1657ef42020-11-24T21:49:11ZengAmerican Physical SocietyPhysical Review X2160-33082018-11-018404103010.1103/PhysRevX.8.041030Interacting Topological Insulators with Synthetic DimensionsChao-Ming JianCenke XuRecent developments of experimental techniques have given us unprecedented opportunities of studying topological insulators in high dimensions, while some of the dimensions are “synthetic,” in the sense that the effective lattice momenta along these synthetic dimensions are controllable periodic tuning parameters. In this work, we study interaction effects on topological insulators with synthetic dimensions. We show that, although the free fermion band structure of high-dimensional topological insulators can be precisely simulated with the “synthetic techniques,” the generic interactions in these effective synthetic topological insulators are qualitatively different from the local interactions in ordinary condensed-matter systems. And we show that these special but generic interactions have unexpected effects on topological insulators; namely, they change (or reduce) the classification of topological insulators differently from the previously extensively studied local interactions.http://doi.org/10.1103/PhysRevX.8.041030 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Chao-Ming Jian Cenke Xu |
spellingShingle |
Chao-Ming Jian Cenke Xu Interacting Topological Insulators with Synthetic Dimensions Physical Review X |
author_facet |
Chao-Ming Jian Cenke Xu |
author_sort |
Chao-Ming Jian |
title |
Interacting Topological Insulators with Synthetic Dimensions |
title_short |
Interacting Topological Insulators with Synthetic Dimensions |
title_full |
Interacting Topological Insulators with Synthetic Dimensions |
title_fullStr |
Interacting Topological Insulators with Synthetic Dimensions |
title_full_unstemmed |
Interacting Topological Insulators with Synthetic Dimensions |
title_sort |
interacting topological insulators with synthetic dimensions |
publisher |
American Physical Society |
series |
Physical Review X |
issn |
2160-3308 |
publishDate |
2018-11-01 |
description |
Recent developments of experimental techniques have given us unprecedented opportunities of studying topological insulators in high dimensions, while some of the dimensions are “synthetic,” in the sense that the effective lattice momenta along these synthetic dimensions are controllable periodic tuning parameters. In this work, we study interaction effects on topological insulators with synthetic dimensions. We show that, although the free fermion band structure of high-dimensional topological insulators can be precisely simulated with the “synthetic techniques,” the generic interactions in these effective synthetic topological insulators are qualitatively different from the local interactions in ordinary condensed-matter systems. And we show that these special but generic interactions have unexpected effects on topological insulators; namely, they change (or reduce) the classification of topological insulators differently from the previously extensively studied local interactions. |
url |
http://doi.org/10.1103/PhysRevX.8.041030 |
work_keys_str_mv |
AT chaomingjian interactingtopologicalinsulatorswithsyntheticdimensions AT cenkexu interactingtopologicalinsulatorswithsyntheticdimensions |
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1716643358652235776 |