Exploring quantum materials and applications: a review

RK Goyal, S Maharaj, P Kumar… - Journal of Materials …, 2025 - Springer
Researchers in condensed matter physics are currently exploring new materials for specific
use in various applications. The peculiar properties of quantum materials (QMs) have …

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 …

Topologically protected Casimir effect for lattice fermions

CWJ Beenakker - Physical Review Research, 2024 - APS
The electromagnetic Casimir effect has a fermionic counterpart in topological insulators:
Zero-point fluctuations of a massless Dirac fermion field mediate a force between magnetic …

topological invariants and the half quantized Hall effect

B Fu, SQ Shen - Communications Physics, 2025 - nature.com
The half-quantized Hall phase represents a unique metallic or semi-metallic state of matter
characterized by a fractional quantum Hall conductance, precisely half of an integer ν …

Four-band effective square-lattice model for Bernal-stacked bilayer graphene

SC Chen, A Mreńca-Kolasińska, MH Liu - Physical Review Applied, 2024 - APS
Recent experimental progress on Bernal-stacked bilayer graphene (BLG) has shown its
versatility not only in exotic physics but also in practical applications in electronic devices …

Effect of uncorrelated on-site scalar potential and mass disorder on transport of two-dimensional Dirac fermions

A Duha, MF Borunda - Physical Review B, 2024 - APS
We investigate the transport properties of massive Dirac fermions subjected to uncorrelated
scalar potential disorder, and mass disorder. Using a finite difference method, the …

Luttinger liquid tensor network: Sine versus tangent dispersion of massless Dirac fermions

VA Zakharov, S Polla, A Donís Vela, P Emonts… - Physical Review …, 2024 - APS
To apply the powerful many-body techniques of tensor networks to massless Dirac fermions,
one wants to discretize the p· σ Hamiltonian and construct a matrix-product-operator (MPO) …

Detection of Majorana zero modes bound to Josephson vortices in planar S-TI-S junctions

K Laubscher, JD Sau - arXiv preprint arXiv:2411.00756, 2024 - arxiv.org
We study signatures of Majorana zero modes (MZMs) bound to Josephson vortices in
superconductor-three-dimensional topological insulator-superconductor (S-TI-S) Josephson …

Interacting chiral fermions on the lattice with matrix product operator norms

J Haegeman, L Lootens, Q Mortier… - arXiv preprint arXiv …, 2024 - arxiv.org
We develop a formalism for simulating one-dimensional interacting chiral fermions on the
lattice without breaking any local symmetries by defining a Fock space endowed with a semi …

Dirac Fermions and Topological Phases in Magnetic Topological Insulator Films

KZ Bai, B Fu, SQ Shen - arXiv preprint arXiv:2405.09121, 2024 - arxiv.org
We develop a Dirac fermion theory for topological phases in magnetic topological insulator
films. The theory is based on exact solutions of the energies and the wave functions for an …