Journal article 884 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 |
| Published: |
American Physical Society
2008
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa1125 |
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| 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 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. |
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| Keywords: |
graphene, lattice model, quantum critical point |
| College: |
Faculty of Science and Engineering |
| Issue: |
16 |
| Start Page: |
165423 (7 pages) |