Journal article 886 views
Quantum critical behavior in a graphenelike model
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...
Published in: | Physical Review B |
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ISSN: | 1098-0121 1550-235X |
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American Physical Society
2008
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URI: | https://cronfa.swan.ac.uk/Record/cronfa1125 |
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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 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 COLLEGE CODE 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 |
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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 |
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|
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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facultyofscienceandengineering |
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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 |
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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 |
2008-10-24T06:03:58Z |
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1821384312080039936 |
score |
10.969525 |