Tangent fermions: Dirac or Majorana fermions on a lattice without fermion doubling
arXiv:2302.12793 · doi:10.1002/andp.202300081
Abstract
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
arXiv commentreview article, 26 pages, 13 figures; V2: added three appendices, and provided code for the various implementations
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Cited by in corpus (13)
- Topologically protected Casimir effect for lattice fermions
- Dirac Fermions and Topological Phases in Magnetic Topological Insulator Films
- Detection of Majorana zero modes bound to Josephson vortices in planar superconductor-topological insulator-superconductor junctions
- Helical Luttinger liquid on a space-time lattice
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- Chiral Heisenberg Gross-Neveu-Yukawa criticality: Honeycomb vs. SLAC fermions
- Angular momentum of vortex-core Majorana zero modes
- Four-band effective square lattice model for Bernal-stacked bilayer graphene
- Gate-defined Kondo lattices with valley-helical quantum dot arrays
- Single-cone Dirac edge states on a lattice
- Effect of Uncorrelated On-site Scalar Potential and Mass Disorder on Transport of Two-Dimensional Dirac Fermions
- Majorana modes in graphene strips: polarization, wavefunctions, disorder, and Andreev states
- Boundary-condition-assisted chiral-symmetry protection of the zeroth Landau level on a two-dimensional lattice