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Quantum critical behavior in a graphenelike model

Simon Hands, Costas Strouthos

Physical Review B, Volume: 78, Issue: 16, Start page: 165423 (7 pages)

Swansea University Author: Simon Hands

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DOI (Published version): 10.1103/PhysRevB.78.165423

Abstract

We present the first results of numerical simulations of a 2+1 dimensional fermion field theory based on a recent proposal for a model of graphene, consisting of N_f four-component Dirac fermions moving in the plane and interacting via an instantaneous Coulomb interaction. In the strong-coupling lim...

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Published in: Physical Review B
ISSN: 1098-0121 1550-235X
Published: American Physical Society 2008
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URI: https://cronfa.swan.ac.uk/Record/cronfa1125
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first_indexed 2013-07-23T11:46:23Z
last_indexed 2018-02-09T04:28:04Z
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spelling 2015-06-18T08:37:22.8972269 v2 1125 2012-02-23 Quantum critical behavior in a graphenelike model b34293f7370adc1d2cac9b93717a61c7 Simon Hands Simon Hands true false 2012-02-23 FGSEN We present the first results of numerical simulations of a 2+1 dimensional fermion field theory based on a recent proposal for a model of graphene, consisting of N_f four-component Dirac fermions moving in the plane and interacting via an instantaneous Coulomb interaction. In the strong-coupling limit we identify a critical number of flavors N_fc=4.8(2) separating an insulating from a conducting phase. This transition corresponds to the location of a quantum critical point, and we use a fit to the equation of state for the chiral order parameter to estimate the critical exponents. Next we simulate N_f=2 corresponding to real graphene, and approximately locate a transition from strong to weak coupling behaviour. Strong correlations are evident in the weak-coupling regime. Journal Article Physical Review B 78 16 165423 (7 pages) American Physical Society 1098-0121 1550-235X graphene, lattice model, quantum critical point 24 10 2008 2008-10-24 10.1103/PhysRevB.78.165423 http://link.aps.org/doi/10.1103/PhysRevB.78.165423 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2015-06-18T08:37:22.8972269 2012-02-23T17:01:50.0000000 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Simon Hands 1 Costas Strouthos 2
title Quantum critical behavior in a graphenelike model
spellingShingle Quantum critical behavior in a graphenelike model
Simon Hands
title_short Quantum critical behavior in a graphenelike model
title_full Quantum critical behavior in a graphenelike model
title_fullStr Quantum critical behavior in a graphenelike model
title_full_unstemmed Quantum critical behavior in a graphenelike model
title_sort Quantum critical behavior in a graphenelike model
author_id_str_mv b34293f7370adc1d2cac9b93717a61c7
author_id_fullname_str_mv b34293f7370adc1d2cac9b93717a61c7_***_Simon Hands
author Simon Hands
author2 Simon Hands
Costas Strouthos
format Journal article
container_title Physical Review B
container_volume 78
container_issue 16
container_start_page 165423 (7 pages)
publishDate 2008
institution Swansea University
issn 1098-0121
1550-235X
doi_str_mv 10.1103/PhysRevB.78.165423
publisher American Physical Society
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
url http://link.aps.org/doi/10.1103/PhysRevB.78.165423
document_store_str 0
active_str 0
description We present the first results of numerical simulations of a 2+1 dimensional fermion field theory based on a recent proposal for a model of graphene, consisting of N_f four-component Dirac fermions moving in the plane and interacting via an instantaneous Coulomb interaction. In the strong-coupling limit we identify a critical number of flavors N_fc=4.8(2) separating an insulating from a conducting phase. This transition corresponds to the location of a quantum critical point, and we use a fit to the equation of state for the chiral order parameter to estimate the critical exponents. Next we simulate N_f=2 corresponding to real graphene, and approximately locate a transition from strong to weak coupling behaviour. Strong correlations are evident in the weak-coupling regime.
published_date 2008-10-24T03:02:49Z
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score 11.012678

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