Partial flux ordering and thermal Majorana metals in higher-order spin liquids

In frustrated quantum magnetism, chiral spin liquids are a particularly intriguing subset of quantum spin liquids in which the fractionalized parton degrees of freedom form a Chern insulator. Here we study an exactly solvable spin-3/2 model, which harbors not only chiral spin liquids but also spin l...

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Main Authors: Tim Eschmann, Vatsal Dwivedi, Henry F. Legg, Ciarán Hickey, Simon Trebst
Format: Article
Language:English
Published: American Physical Society 2020-10-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.043159
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author Tim Eschmann
Vatsal Dwivedi
Henry F. Legg
Ciarán Hickey
Simon Trebst
author_facet Tim Eschmann
Vatsal Dwivedi
Henry F. Legg
Ciarán Hickey
Simon Trebst
author_sort Tim Eschmann
collection DOAJ
description In frustrated quantum magnetism, chiral spin liquids are a particularly intriguing subset of quantum spin liquids in which the fractionalized parton degrees of freedom form a Chern insulator. Here we study an exactly solvable spin-3/2 model, which harbors not only chiral spin liquids but also spin liquids with higher-order parton band topology—a trivial band insulator, a Chern insulator with gapless chiral edge modes, and a second-order topological insulator with gapless corner modes. With a focus on the thermodynamic precursors and thermal phase transitions associated with these distinct states, we employ numerically exact quantum Monte Carlo simulations to reveal a number of unconventional phenomena. This includes heightened thermal stability of the ground state phases, the emergence of a partial flux ordering of the associated Z_{2} lattice gauge field, and the formation of a thermal Majorana metal regime extending over a broad temperature range.
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spelling doaj.art-589e50f3c63d4cc4b515c82fa947a9e12024-04-12T17:03:13ZengAmerican Physical SocietyPhysical Review Research2643-15642020-10-012404315910.1103/PhysRevResearch.2.043159Partial flux ordering and thermal Majorana metals in higher-order spin liquidsTim EschmannVatsal DwivediHenry F. LeggCiarán HickeySimon TrebstIn frustrated quantum magnetism, chiral spin liquids are a particularly intriguing subset of quantum spin liquids in which the fractionalized parton degrees of freedom form a Chern insulator. Here we study an exactly solvable spin-3/2 model, which harbors not only chiral spin liquids but also spin liquids with higher-order parton band topology—a trivial band insulator, a Chern insulator with gapless chiral edge modes, and a second-order topological insulator with gapless corner modes. With a focus on the thermodynamic precursors and thermal phase transitions associated with these distinct states, we employ numerically exact quantum Monte Carlo simulations to reveal a number of unconventional phenomena. This includes heightened thermal stability of the ground state phases, the emergence of a partial flux ordering of the associated Z_{2} lattice gauge field, and the formation of a thermal Majorana metal regime extending over a broad temperature range.http://doi.org/10.1103/PhysRevResearch.2.043159
spellingShingle Tim Eschmann
Vatsal Dwivedi
Henry F. Legg
Ciarán Hickey
Simon Trebst
Partial flux ordering and thermal Majorana metals in higher-order spin liquids
Physical Review Research
title Partial flux ordering and thermal Majorana metals in higher-order spin liquids
title_full Partial flux ordering and thermal Majorana metals in higher-order spin liquids
title_fullStr Partial flux ordering and thermal Majorana metals in higher-order spin liquids
title_full_unstemmed Partial flux ordering and thermal Majorana metals in higher-order spin liquids
title_short Partial flux ordering and thermal Majorana metals in higher-order spin liquids
title_sort partial flux ordering and thermal majorana metals in higher order spin liquids
url http://doi.org/10.1103/PhysRevResearch.2.043159
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