Quantum topological phase transitions in skyrmion crystals

Topological order is important in many aspects of condensed matter physics and has been extended to bosonic systems. In this Letter we report on the nontrivial topology of the magnon bands in two distinct quantum skyrmion crystals appearing in zero external magnetic field. This is revealed by nonzer...

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Main Authors: Kristian Mæland, Asle Sudbø
Format: Article
Language:English
Published: American Physical Society 2022-08-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.4.L032025
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author Kristian Mæland
Asle Sudbø
author_facet Kristian Mæland
Asle Sudbø
author_sort Kristian Mæland
collection DOAJ
description Topological order is important in many aspects of condensed matter physics and has been extended to bosonic systems. In this Letter we report on the nontrivial topology of the magnon bands in two distinct quantum skyrmion crystals appearing in zero external magnetic field. This is revealed by nonzero Chern numbers for some of the bands. As a bosonic analog of the quantum anomalous Hall effect, we show that topological magnons can appear in skyrmion crystals without explicitly breaking time-reversal symmetry with an external magnetic field. By tuning the value of the easy-axis anisotropy at zero temperature, we find eight quantum topological phase transitions signaled by discontinuous jumps in certain Chern numbers. We connect these quantum topological phase transitions to gaps closing and reopening between magnon bands.
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spelling doaj.art-4c887ddc637a41a9b45eed51957753272024-04-12T17:23:42ZengAmerican Physical SocietyPhysical Review Research2643-15642022-08-0143L03202510.1103/PhysRevResearch.4.L032025Quantum topological phase transitions in skyrmion crystalsKristian MælandAsle SudbøTopological order is important in many aspects of condensed matter physics and has been extended to bosonic systems. In this Letter we report on the nontrivial topology of the magnon bands in two distinct quantum skyrmion crystals appearing in zero external magnetic field. This is revealed by nonzero Chern numbers for some of the bands. As a bosonic analog of the quantum anomalous Hall effect, we show that topological magnons can appear in skyrmion crystals without explicitly breaking time-reversal symmetry with an external magnetic field. By tuning the value of the easy-axis anisotropy at zero temperature, we find eight quantum topological phase transitions signaled by discontinuous jumps in certain Chern numbers. We connect these quantum topological phase transitions to gaps closing and reopening between magnon bands.http://doi.org/10.1103/PhysRevResearch.4.L032025
spellingShingle Kristian Mæland
Asle Sudbø
Quantum topological phase transitions in skyrmion crystals
Physical Review Research
title Quantum topological phase transitions in skyrmion crystals
title_full Quantum topological phase transitions in skyrmion crystals
title_fullStr Quantum topological phase transitions in skyrmion crystals
title_full_unstemmed Quantum topological phase transitions in skyrmion crystals
title_short Quantum topological phase transitions in skyrmion crystals
title_sort quantum topological phase transitions in skyrmion crystals
url http://doi.org/10.1103/PhysRevResearch.4.L032025
work_keys_str_mv AT kristianmæland quantumtopologicalphasetransitionsinskyrmioncrystals
AT aslesudbø quantumtopologicalphasetransitionsinskyrmioncrystals