Buividovich, P. V. and Ulybyshev, M. V. (2016) Applications of lattice QCD techniques for condensed matter systems. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 31 (22): 1643008. ISSN 0217-751X, 1793-656X
Full text not available from this repository. (Request a copy)Abstract
We review the application of lattice QCD techniques, most notably the Hybrid Monte Carlo (HMC) simulations, to first-principle study of tight-binding models of crystalline solids with strong inter-electron interactions. After providing a basic introduction into the HMC algorithm as applied to condensed matter systems, we review HMC simulations of graphene, which in the recent years have helped to understand the semimetal behavior of clean suspended graphene at the quantitative level. We also briefly summarize other novel physical results obtained in these simulations. Then we comment on the applicability of hybrid Monte Carlo to topological insulators and Dirac and Weyl semimetals and highlight some of the relevant open physical problems. Finally, we also touch upon the lattice strong-coupling expansion technique as applied to condensed matter systems.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | WEYL FERMION SEMIMETAL; SUSPENDED GRAPHENE; MAGNETIC-FIELD; QUANTUM; ALGORITHM; SURFACE; ARCS; Monte Carlo simulations; tight-binding models; graphene; topological insulators; Weyl semimetals |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 15 Mar 2019 08:55 |
| Last Modified: | 15 Mar 2019 08:55 |
| URI: | https://pred.uni-regensburg.de/id/eprint/3493 |
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