Hybrid Monte Carlo simulation on the graphene hexagonal lattice

Proceedings of Science

Volumn 139, Issue , 2011, Pages

  Brower, Richard ^a   Rebbi, Claudio ^b   Schaich, David ^c  

^a Boston University   (United States)

^b USA   (United States)

^c UNIVERSITY OF COLORADO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BINDING ENERGY; CRYSTAL LATTICES; GRAPHENE; INTELLIGENT SYSTEMS; LINEAR EQUATIONS; MONTE CARLO METHODS; NEAREST NEIGHBOR SEARCH;

CONTINUUM LIMITS; HEXAGONAL LATTICE; HYBRID MONTE CARLO ALGORITHM; HYBRID MONTE CARLO SIMULATIONS; LATTICE SIMULATION; LONG-RANGE COULOMB INTERACTION; NEAREST NEIGHBORS; TIGHT BINDING MODEL;

LATTICE THEORY;

EID: 84976271012     PISSN: None     EISSN: 18248039     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (16)

1. K. S. Novoselov et al., “Electric Field Effect in Atomically Thin Carbon Films”, Science 306, 666 (2004).
2. A. H. Castro Neto et al., “The electronic properties of graphene”, Rev. Mod. Phys. 81, 109 (2009).
3. H. J. Rothe, Lattice Gauge Theories: An Introduction, (World Scientific, Singapore, 2005).
4. J. E. Drut and T. A. Lähde, “Is Graphene in Vacuum an Insulator?”, Phys. Rev. Lett. 102, 026802 (2009);
5. Phys. Rev. B 79, 165425 (2009).
6. T. A. Lahde and J. E. Drut, “Strongly Coupled Graphene on the Lattice,” arXiv:1111.0929 [hep-lat].
7. Simon Duane et al., “Hybrid Monte Carlo” Phys. Lett. B 195, 216 (1987).
8. J. Giedt, A. Skinner and S. Nayak, “Effects of flavor-symmetry violation from staggered fermion lattice simulations of graphene,” arXiv:0911.4316 [cond-mat.str-el].
9. T.O. Wehling, E. Sastioglu, C> Friedrich, A> I. Lichtenstein, M. I. Katsnelson andS. Blugel, “Strength of Effective Coulomb Interactions in Graphene and Graphite” Phys. Rev. Lett. 106, 236805 (2011).
10. J. W. Negele and H. Orland, Quantum Many Particle Systems, (Addison-Wesley, Redwood City, California, 1988).
11. R. L. Stratonovich, “On a Method of Calculating Quantum Distribution Functions”, Sov. Phys. Dokl. 2, 416 (1958);
12. J. Hubbard, “Calculation of Partition Functions”, Phys. Rev. Lett. 3, 77 (1959).
13. R. Blankenbecler, D. J. Scalapino and R. L. Sugar, “Monte Carlo calculations of coupled boson-fermion systems. I” Phys. Rev. D 24, 2278 (1981).
14. M. G. Alford, A. Kapustin and F. Wilczek, “Imaginary chemical potential and finite fermion density on the lattice”, Phys. Rev. D 59, 054502 (1999);
15. D. T. Son and M. A. Stephanov, “QCD at finite isospin density”, Phys. Rev. Lett. 86, 592 (2001).
16. M. Luscher, “Construction Of A Selfadjoint, Strictly Positive Transfer Matrix For Euclidean Lattice Gauge Theories,” Commun. Math. Phys. 54, 283 (1977).