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Monte Carlo simulation of monolayer graphene at nonzero temperature / Wesley Armour; Simon Hands; Costas Strouthos

Physical Review B

Swansea University Author: Simon, Hands

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DOI (Published version): 10.1103/PhysRevB.84.075123

Abstract

We present results from lattice simulations of a monolayer graphene model at non-zero temperature. At low temperatures for sufficiently strong coupling the model develops an excitonic condensate of particle-hole pairs corresponding to an insulating phase. The Berezinskii-Kosterlitz-Thouless phase tr...

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Published in: Physical Review B
Published: 2011
URI: https://cronfa.swan.ac.uk/Record/cronfa7070
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spelling 2011-10-01T00:00:00.0000000 v2 7070 2012-02-23 Monte Carlo simulation of monolayer graphene at nonzero temperature b34293f7370adc1d2cac9b93717a61c7 0000-0001-5720-7852 Simon Hands Simon Hands true false 2012-02-23 SPH We present results from lattice simulations of a monolayer graphene model at non-zero temperature. At low temperatures for sufficiently strong coupling the model develops an excitonic condensate of particle-hole pairs corresponding to an insulating phase. The Berezinskii-Kosterlitz-Thouless phase transition temperature is associated with the value of the coupling where the critical exponent delta governing the response of the order parameter at criticality to an external source has a value close to 15. The critical coupling on a lattice with temporal extent N_t=32 (T=1/(N_t a_t) where a_t is the temporal lattice spacing) and spatial extent N_s=64 is very close to infinite coupling. The value of the transition temperature normalized with the zero temperature fermion mass gap Delta_0 is given by T_BKT/Delta_0=0.055(2). This value provides an upper bound on the transition temperature, because simulations closer to the continuum limit where the full U(4) symmetry is restored may result in an even lower value. In addition, we measured the helicity modulus Upsilon and the fermion thermal mass Delta_T(T), the later providing evidence for a pseudogap phase with Delta_T>0 extending to arbitrarily high T. Journal Article Physical Review B 31 12 2011 2011-12-31 10.1103/PhysRevB.84.075123 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2011-10-01T00:00:00.0000000 2012-02-23T17:01:50.0000000 College of Science Physics Wesley Armour 1 Simon Hands 0000-0001-5720-7852 2 Costas Strouthos 3
title Monte Carlo simulation of monolayer graphene at nonzero temperature
spellingShingle Monte Carlo simulation of monolayer graphene at nonzero temperature
Simon, Hands
title_short Monte Carlo simulation of monolayer graphene at nonzero temperature
title_full Monte Carlo simulation of monolayer graphene at nonzero temperature
title_fullStr Monte Carlo simulation of monolayer graphene at nonzero temperature
title_full_unstemmed Monte Carlo simulation of monolayer graphene at nonzero temperature
title_sort Monte Carlo simulation of monolayer graphene at nonzero temperature
author_id_str_mv b34293f7370adc1d2cac9b93717a61c7
author_id_fullname_str_mv b34293f7370adc1d2cac9b93717a61c7_***_Simon, Hands
author Simon, Hands
author2 Wesley Armour
Simon Hands
Costas Strouthos
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container_title Physical Review B
publishDate 2011
institution Swansea University
doi_str_mv 10.1103/PhysRevB.84.075123
college_str College of Science
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hierarchy_top_title College of Science
hierarchy_parent_id collegeofscience
hierarchy_parent_title College of Science
department_str Physics{{{_:::_}}}College of Science{{{_:::_}}}Physics
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description We present results from lattice simulations of a monolayer graphene model at non-zero temperature. At low temperatures for sufficiently strong coupling the model develops an excitonic condensate of particle-hole pairs corresponding to an insulating phase. The Berezinskii-Kosterlitz-Thouless phase transition temperature is associated with the value of the coupling where the critical exponent delta governing the response of the order parameter at criticality to an external source has a value close to 15. The critical coupling on a lattice with temporal extent N_t=32 (T=1/(N_t a_t) where a_t is the temporal lattice spacing) and spatial extent N_s=64 is very close to infinite coupling. The value of the transition temperature normalized with the zero temperature fermion mass gap Delta_0 is given by T_BKT/Delta_0=0.055(2). This value provides an upper bound on the transition temperature, because simulations closer to the continuum limit where the full U(4) symmetry is restored may result in an even lower value. In addition, we measured the helicity modulus Upsilon and the fermion thermal mass Delta_T(T), the later providing evidence for a pseudogap phase with Delta_T>0 extending to arbitrarily high T.
published_date 2011-12-31T03:19:57Z
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