Solvable lattice models for metals with Z2 topological order

We present quantum dimer models in two dimensions which realize metallic ground states with Z2 topological order. Our models are generalizations of a dimer model introduced in [PNAS 112,9552-9557 (2015)] to provide an effective description of unconventional metallic states in hole-doped Mott insu...

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Main Author:	Brin Verheijden, Yuhao Zhao, Matthias Punk
Format:	Article
Language:	English
Published:	SciPost 2019-12-01
Series:	SciPost Physics
Online Access:	https://scipost.org/SciPostPhys.7.6.074

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spelling	doaj-61793a7042e642adb4b653308345fcc42020-11-25T02:39:58ZengSciPostSciPost Physics2542-46532019-12-017607410.21468/SciPostPhys.7.6.074Solvable lattice models for metals with Z2 topological orderBrin Verheijden, Yuhao Zhao, Matthias PunkWe present quantum dimer models in two dimensions which realize metallic ground states with Z2 topological order. Our models are generalizations of a dimer model introduced in [PNAS 112,9552-9557 (2015)] to provide an effective description of unconventional metallic states in hole-doped Mott insulators. We construct exact ground state wave functions in a specific parameter regime and show that the ground state realizes a fractionalized Fermi liquid. Due to the presence of Z2 topological order the Luttinger count is modified and the volume enclosed by the Fermi surface is proportional to the density of doped holes away from half filling. We also comment on possible applications to magic-angle twisted bilayer graphene.https://scipost.org/SciPostPhys.7.6.074
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Brin Verheijden, Yuhao Zhao, Matthias Punk
spellingShingle	Brin Verheijden, Yuhao Zhao, Matthias Punk Solvable lattice models for metals with Z2 topological order SciPost Physics
author_facet	Brin Verheijden, Yuhao Zhao, Matthias Punk
author_sort	Brin Verheijden, Yuhao Zhao, Matthias Punk
title	Solvable lattice models for metals with Z2 topological order
title_short	Solvable lattice models for metals with Z2 topological order
title_full	Solvable lattice models for metals with Z2 topological order
title_fullStr	Solvable lattice models for metals with Z2 topological order
title_full_unstemmed	Solvable lattice models for metals with Z2 topological order
title_sort	solvable lattice models for metals with z2 topological order
publisher	SciPost
series	SciPost Physics
issn	2542-4653
publishDate	2019-12-01
description	We present quantum dimer models in two dimensions which realize metallic ground states with Z2 topological order. Our models are generalizations of a dimer model introduced in [PNAS 112,9552-9557 (2015)] to provide an effective description of unconventional metallic states in hole-doped Mott insulators. We construct exact ground state wave functions in a specific parameter regime and show that the ground state realizes a fractionalized Fermi liquid. Due to the presence of Z2 topological order the Luttinger count is modified and the volume enclosed by the Fermi surface is proportional to the density of doped holes away from half filling. We also comment on possible applications to magic-angle twisted bilayer graphene.
url	https://scipost.org/SciPostPhys.7.6.074
work_keys_str_mv	AT brinverheijdenyuhaozhaomatthiaspunk solvablelatticemodelsformetalswithz2topologicalorder
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Solvable lattice models for metals with Z2 topological order

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