Tangent fermions: Dirac or Majorana fermions on a lattice without fermion doubling

Autor:	Beenakker, C. W. J., Vela, A. Donis, Lemut, G., Pacholski, M. J., Tworzydlo, J.
Rok vydání:	2023
Předmět:	Condensed Matter - Mesoscale and Nanoscale Physics
Zdroj:	Annalen der Physik 535, 2300081 (2023)
Druh dokumentu:	Working Paper
DOI:	10.1002/andp.202300081
Popis:	I. Introduction II. Two-dimensional lattice fermions III. Methods to avoid fermion doubling (sine dispersion, sine plus cosine dispersion, staggered lattice dispersion, linear sawtooth dispersion, tangent dispersion) IV. Topologically protected Dirac cone V. Application: Klein tunneling (tangent fermions on a space-time lattice, wave packet propagation) VI. Application: Strong antilocalization (transfer matrix of tangent fermions, topological insulator versus graphene) VII. Application: Anomalous quantum Hall effect (gauge invariant tangent fermions, topologically protected zeroth Landau level) VIII. Application: Majorana metal (Dirac versus Majorana fermions, phase diagram) IX. Outlook Comment: review article, 26 pages, 13 figures; V2: added three appendices, and provided code for the various implementations
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2302.12793 Zobrazit plný text záznamu View this record from Arxiv