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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Publicado: 2015
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10980121_v92_n9_p_Kumar
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
id paper:paper_10980121_v92_n9_p_Kumar
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spelling paper:paper_10980121_v92_n9_p_Kumar2023-06-08T16:07:58Z 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 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. 2015 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10980121_v92_n9_p_Kumar 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.
title Chiral spin liquids on the kagome lattice
spellingShingle 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
publishDate 2015
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10980121_v92_n9_p_Kumar
http://hdl.handle.net/20.500.12110/paper_10980121_v92_n9_p_Kumar
_version_ 1768546360777244672

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