The role of electron-electron interactions in two-dimensional Dirac fermions

HK Tang, JN Leaw, JNB Rodrigues, IF Herbut… - Science, 2018 - science.org
The role of electron-electron interactions in two-dimensional Dirac fermion systems remains
enigmatic. Using a combination of nonperturbative numerical and analytical techniques that …

Interacting Weyl fermions: Phases, phase transitions, and global phase diagram

B Roy, P Goswami, V Juričić - Physical Review B, 2017 - APS
We study the effects of short-range interactions on a generalized three-dimensional Weyl
semimetal, where the band touching points act as the (anti) monopoles of Abelian Berry …

Wilson-Fisher fixed points in the presence of Dirac fermions

IF Herbut - Modern Physics Letters B, 2024 - World Scientific
Wilson–Fisher expansion near upper critical dimension has proven to be an invaluable
conceptual and computational tool in our understanding of the universal critical behavior in …

Quantum Monte Carlo simulation of the chiral Heisenberg Gross-Neveu-Yukawa phase transition with a single Dirac cone

TC Lang, AM Läuchli - Physical Review Letters, 2019 - APS
We present quantum Monte Carlo simulations for the chiral Heisenberg Gross-Neveu-
Yukawa quantum phase transition of relativistic fermions with N= 4 Dirac spinor components …

Probing quantum criticality using nonlinear Hall effect in a metallic Dirac system

H Rostami, V Juričić - Physical Review Research, 2020 - APS
Interaction-driven symmetry breaking in a metallic (doped) Dirac system can manifest in the
spontaneous gap generation at the nodal point buried below the Fermi level. Across this …

Renormalization of gauge theories in the background-field approach

AO Barvinsky, D Blas, M Herrero-Valea… - Journal of High Energy …, 2018 - Springer
A bstract Using the background-field method we demonstrate the Becchi-Rouet-Stora-Tyutin
(BRST) structure of counterterms in a broad class of gauge theories. Put simply, we show …

Extended Hubbard model in undoped and doped monolayer and bilayer graphene: Selection rules and organizing principle among competing orders

AL Szabó, B Roy - Physical Review B, 2021 - APS
Performing a leading-order renormalization group analysis, here we compute the effects of
generic local or short-range electronic interactions in monolayer and the Bernal bilayer …

Yukawa-Lorentz symmetry in non-Hermitian Dirac materials

V Juričić, B Roy - Communications Physics, 2024 - nature.com
Lorentz space–time symmetry represents a unifying feature of the fundamental forces,
typically manifest at sufficiently high energies, while in quantum materials it emerges in the …

Designer Monte Carlo simulation for the gross-neveu-yukawa transition

Y Liu, W Wang, K Sun, ZY Meng - Physical Review B, 2020 - APS
In this paper, we study the quantum criticality of Dirac fermions via large-scale numerical
simulations, focusing on the Gross-Neveu-Yukawa chiral-Ising quantum critical point (QCP) …

Emergence of supersymmetric quantum electrodynamics

SK Jian, CH Lin, J Maciejko, H Yao - Physical review letters, 2017 - APS
Supersymmetric (SUSY) gauge theories such as the minimal supersymmetric standard
model play a fundamental role in modern particle physics, but have not been verified so far …