7 papers
Symmetric mass generation of interacting chiral fermions on a one-dimensional lattice without fermion doubling
V. A. Zakharov, Atsushi Ueda, Frank Verstraete +1
Symmetric mass generation is the interaction-induced opening of a fermion gap without spontaneous symmetry breaking. The anomaly-free 3-4-5-0 model of Wang and Wen provides a minim…
Quantum circuit decomposition of the tangent-fermion Dirac operator
C. W. J. Beenakker
The Dirac operator on a lattice cannot be both local and free of fermion doubling, at least not without breaking fundamental symmetries. Non-local, symmetry-preserving discretizati…
Boundary-condition-assisted chiral-symmetry protection of the zeroth Landau level on a two-dimensional lattice
A. DonÃs Vela, C. W. J. Beenakker
The massless two-dimensional Dirac equation in a perpendicular magnetic field B supports a B-independent "zeroth Landau level", a dispersionless zero-energy-mode protected by chira…
Single-cone Dirac edge states on a lattice
Alvaro DonÃs Vela, Carlo W. J. Beenakker
The stationary Dirac equation , confined to a two-dimensional (2D) region, supports states propagating along the boundary and decaying exponentially away from the…
Repulsive Casimir force from a Majorana zero-mode
C. W. J. Beenakker
Fu and Kane have taught us that a Majorana zero-mode appears on the quantum spin Hall edge at the interface with a superconductor. If a magnetic scatterer is placed on the edge, th…
Poor-man's Majorana edge mode enabled by specular Andreev reflection
C. W. J. Beenakker
It is known that the surface of a three-dimensional topological insulator (3D TI) supports a chiral Majorana edge mode at the interface between a superconductor and a magnetic insu…