Topological thermal Hall effect of magnetic monopoles in the pyrochlore U(1) spin liquid

“Magnetic monopole” is an exotic quantum excitation in three-dimensional U(1) spin liquid, and its emergence is purely of quantum origin and has no classical analog. We predict topological thermal Hall effect (TTHE) of “magnetic monopoles” and present this prediction through non-Kramers doublets on...

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Main Authors: Xiao-Tian Zhang, Yong Hao Gao, Chunxiao Liu, Gang Chen
Format: Article
Language:English
Published: American Physical Society 2020-01-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.013066
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author Xiao-Tian Zhang
Yong Hao Gao
Chunxiao Liu
Gang Chen
author_facet Xiao-Tian Zhang
Yong Hao Gao
Chunxiao Liu
Gang Chen
author_sort Xiao-Tian Zhang
collection DOAJ
description “Magnetic monopole” is an exotic quantum excitation in three-dimensional U(1) spin liquid, and its emergence is purely of quantum origin and has no classical analog. We predict topological thermal Hall effect (TTHE) of “magnetic monopoles” and present this prediction through non-Kramers doublets on a pyrochlore lattice. We observe that when the external magnetic field polarizes the Ising component of the local moment, internally this corresponds to the induction of emergent dual U(1) gauge flux for the “magnetic monopoles.” The motion of “magnetic monopoles” is then twisted by the induced dual U(1) gauge flux. This emergent Lorentz force on “magnetic monopoles” is the fundamental origin of TTHE. Therefore, TTHE would be a direct evidence of the “monopole” gauge coupling and the emergent U(1) gauge structure in pyrochlore U(1) spin liquid. Our result does not depend strongly on our choice of non-Kramers doublets for our presentation and can be well extended to Kramers doublets. Our prediction can be readily tested among the pyrochlore spin liquid candidate materials. We give a detailed discussion about the expectation for different pyrochlore magnets.
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spelling doaj.art-5a7d4b4ebc5b4bbb818803947c4aafef2024-04-12T16:48:58ZengAmerican Physical SocietyPhysical Review Research2643-15642020-01-012101306610.1103/PhysRevResearch.2.013066Topological thermal Hall effect of magnetic monopoles in the pyrochlore U(1) spin liquidXiao-Tian ZhangYong Hao GaoChunxiao LiuGang Chen“Magnetic monopole” is an exotic quantum excitation in three-dimensional U(1) spin liquid, and its emergence is purely of quantum origin and has no classical analog. We predict topological thermal Hall effect (TTHE) of “magnetic monopoles” and present this prediction through non-Kramers doublets on a pyrochlore lattice. We observe that when the external magnetic field polarizes the Ising component of the local moment, internally this corresponds to the induction of emergent dual U(1) gauge flux for the “magnetic monopoles.” The motion of “magnetic monopoles” is then twisted by the induced dual U(1) gauge flux. This emergent Lorentz force on “magnetic monopoles” is the fundamental origin of TTHE. Therefore, TTHE would be a direct evidence of the “monopole” gauge coupling and the emergent U(1) gauge structure in pyrochlore U(1) spin liquid. Our result does not depend strongly on our choice of non-Kramers doublets for our presentation and can be well extended to Kramers doublets. Our prediction can be readily tested among the pyrochlore spin liquid candidate materials. We give a detailed discussion about the expectation for different pyrochlore magnets.http://doi.org/10.1103/PhysRevResearch.2.013066
spellingShingle Xiao-Tian Zhang
Yong Hao Gao
Chunxiao Liu
Gang Chen
Topological thermal Hall effect of magnetic monopoles in the pyrochlore U(1) spin liquid
Physical Review Research
title Topological thermal Hall effect of magnetic monopoles in the pyrochlore U(1) spin liquid
title_full Topological thermal Hall effect of magnetic monopoles in the pyrochlore U(1) spin liquid
title_fullStr Topological thermal Hall effect of magnetic monopoles in the pyrochlore U(1) spin liquid
title_full_unstemmed Topological thermal Hall effect of magnetic monopoles in the pyrochlore U(1) spin liquid
title_short Topological thermal Hall effect of magnetic monopoles in the pyrochlore U(1) spin liquid
title_sort topological thermal hall effect of magnetic monopoles in the pyrochlore u 1 spin liquid
url http://doi.org/10.1103/PhysRevResearch.2.013066
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AT chunxiaoliu topologicalthermalhalleffectofmagneticmonopolesinthepyrochloreu1spinliquid
AT gangchen topologicalthermalhalleffectofmagneticmonopolesinthepyrochloreu1spinliquid