Chiral spin liquids on the kagome lattice

We study the nearest-neighbor XXZ Heisenberg quantum antiferromagnet on the kagome lattice. Here we consider the effects of several perturbations: (a) a chirality term, (b) a Dzyaloshinski-Moriya term, and (c) a ring-exchange type term on the bowties of the kagome lattice, and inquire if they can su...

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Autores principales: Kumar, K., Sun, K., Fradkin, E.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10980121_v92_n9_p_Kumar
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_10980121_v92_n9_p_Kumar2023-10-03T16:06:30Z Chiral spin liquids on the kagome lattice Kumar, K. Sun, K. Fradkin, E. We study the nearest-neighbor XXZ Heisenberg quantum antiferromagnet on the kagome lattice. Here we consider the effects of several perturbations: (a) a chirality term, (b) a Dzyaloshinski-Moriya term, and (c) a ring-exchange type term on the bowties of the kagome lattice, and inquire if they can support chiral spin liquids as ground states. The method used to study these Hamiltonians is a flux attachment transformation that maps the spins on the lattice to fermions coupled to a Chern-Simons gauge field on the kagome lattice. This transformation requires us to consistently define a Chern-Simons term on the kagome lattice. We find that the chirality term leads to a chiral spin liquid even in the absence of an uniform magnetic field, with an effective spin Hall conductance of σxys=12 in the regime of XY anisotropy. The Dzyaloshinski-Moriya term also leads a similar chiral spin liquid but only when this term is not too strong. An external magnetic field also has the possibility of giving rise to additional plateaus which also behave like chiral spin liquids in the XY regime. Finally, we consider the effects of a ring-exchange term and find that, provided its coupling constant is large enough, it may trigger a phase transition into a chiral spin liquid by the spontaneous breaking of time-reversal invariance. © 2015 American Physical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10980121_v92_n9_p_Kumar
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We study the nearest-neighbor XXZ Heisenberg quantum antiferromagnet on the kagome lattice. Here we consider the effects of several perturbations: (a) a chirality term, (b) a Dzyaloshinski-Moriya term, and (c) a ring-exchange type term on the bowties of the kagome lattice, and inquire if they can support chiral spin liquids as ground states. The method used to study these Hamiltonians is a flux attachment transformation that maps the spins on the lattice to fermions coupled to a Chern-Simons gauge field on the kagome lattice. This transformation requires us to consistently define a Chern-Simons term on the kagome lattice. We find that the chirality term leads to a chiral spin liquid even in the absence of an uniform magnetic field, with an effective spin Hall conductance of σxys=12 in the regime of XY anisotropy. The Dzyaloshinski-Moriya term also leads a similar chiral spin liquid but only when this term is not too strong. An external magnetic field also has the possibility of giving rise to additional plateaus which also behave like chiral spin liquids in the XY regime. Finally, we consider the effects of a ring-exchange term and find that, provided its coupling constant is large enough, it may trigger a phase transition into a chiral spin liquid by the spontaneous breaking of time-reversal invariance. © 2015 American Physical Society.
format JOUR
author Kumar, K.
Sun, K.
Fradkin, E.
spellingShingle Kumar, K.
Sun, K.
Fradkin, E.
Chiral spin liquids on the kagome lattice
author_facet Kumar, K.
Sun, K.
Fradkin, E.
author_sort Kumar, K.
title Chiral spin liquids on the kagome lattice
title_short Chiral spin liquids on the kagome lattice
title_full Chiral spin liquids on the kagome lattice
title_fullStr Chiral spin liquids on the kagome lattice
title_full_unstemmed Chiral spin liquids on the kagome lattice
title_sort chiral spin liquids on the kagome lattice
url http://hdl.handle.net/20.500.12110/paper_10980121_v92_n9_p_Kumar
work_keys_str_mv AT kumark chiralspinliquidsonthekagomelattice
AT sunk chiralspinliquidsonthekagomelattice
AT fradkine chiralspinliquidsonthekagomelattice
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