Winkler, R. and Zuelicke, U. (2015) DISCRETE SYMMETRIES OF LOW-DIMENSIONAL DIRAC MODELS: A SELECTIVE REVIEW WITH A FOCUS ON CONDENSED-MATTER REALIZATIONS. ANZIAM JOURNAL, 57 (1). pp. 3-17. ISSN 1446-1811, 1446-8735
Full text not available from this repository. (Request a copy)Abstract
The most fundamental characteristic of a physical system can often be deduced from its behaviour under discrete symmetry transformations, such as time reversal, parity and chirality. Here, we review some of the basic symmetry properties of the relativistic quantum theories for free electrons in ( 2 + 1)- and ( 1 + 1)-dimensional spacetime. Additional flavour degrees of freedom are necessary to properly define symmetry operations in ( 2 + 1) dimensions, and are generally present in physical realizations of such systems, for example in single sheets of graphite. We find that there exist two possibilities for defining any flavour-coupling discrete symmetry operation of the two-flavour ( 2 + 1)-dimensional Dirac theory. Some physical implications of this previously unnoticed duplicity are discussed.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | TOPOLOGICAL INSULATORS; GRAPHENE; TRANSPORT; FERMIONS; relativistic quantum physics; reduced dimensionality; Dirac Hamiltonians; quasi-relativity in solids |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 08 Jul 2019 06:23 |
| Last Modified: | 08 Jul 2019 06:23 |
| URI: | https://pred.uni-regensburg.de/id/eprint/5220 |
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