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

CWJ Beenakker, A Donís Vela, G Lemut… - Annalen der …, 2023 - Wiley Online Library
Methods to discretize the Hamiltonian of a topological insulator or topological
superconductor, without giving up on the topological protection of the massless excitations …

Dynamical properties of quantum many-body systems with long-range interactions

M Song, J Zhao, C Zhou, ZY Meng - Physical Review Research, 2023 - APS
Employing large-scale quantum Monte Carlo simulations, we systematically compute the
energy spectra of the two-dimensional (2D) spin-1/2 Heisenberg model with long-range …

Unconventional scalings of quantum entropies in long-range Heisenberg chains

J Zhao, N Laflorencie, ZY Meng - Physical Review Letters, 2025 - APS
In this work, building on state-of-the-art quantum Monte Carlo simulations, we perform
systematic finite-size scaling of both entanglement and participation entropies for long-range …

Quantum Monte Carlo calculation of critical exponents of the Gross-Neveu-Yukawa on a two-dimensional fermion lattice model

TT Wang, ZY Meng - Physical Review B, 2023 - APS
It is expected that the Gross-Neveu-Yukawa (GNY) chiral Ising transition of Dirac fermions
coupled with a scalar field in (2+ 1) dimensions will be the first fermionic quantum critical …

Helical Luttinger liquid on a space-time lattice

VA Zakharov, J Tworzydło, CWJ Beenakker… - Physical Review Letters, 2024 - APS
The Luttinger model is a paradigm for the breakdown due to interactions of the Fermi liquid
description of one-dimensional massless Dirac fermions. Attempts to discretize the model on …

Fermionic skyrmions and bosonization for a Gross-Neveu transition

XY Xu, T Grover - Physical Review B, 2024 - APS
We investigate a 2+ 1 D interacting Dirac semimetal with on-site flavor SU (2) symmetry.
Topological considerations imply that the skyrmions in the flavor-symmetry-breaking phase …

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D Vela - from https://hdl. handle. net/1887/3765898 Version …, 2024 - inspirehep.net
A fundamental concept in condensed matter physics is that the effective behavior of
electrons is strongly influenced by the medium in which they exist. An example of this is …

[PDF][PDF] Tangent fermions: massless fermions on a lattice

ÁD Vela - lorentz.leidenuniv.nl
A fundamental concept in condensed matter physics is that the effective behavior of
electrons is strongly influenced by the medium in which they exist. An example of this is …