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 …

Coulomb instabilities of a three-dimensional higher-order topological insulator

PL Zhao, XB Qiang, HZ Lu, XC **e - Physical Review Letters, 2021 - APS
Topological insulators (TIs) are an exciting discovery because of their robustness against
disorder and interactions. Recently, second-order TIs have been attracting increasing …

[PDF][PDF] Yukawa-Lorentz symmetry of interacting non-Hermitian birefringent Dirac fermions

SA Murshed, B Roy - arxiv preprint arxiv:2407.18250, 2024 - scipost.org
The energy spectra of linearly dispersing gapless spin-3/2 Dirac fermions display
birefringence, featuring two effective Fermi velocities, thus breaking the space-time Lorentz …

Unconventional U(1) to crossover in quantum and classical -state clock models

P Patil, H Shao, AW Sandvik - Physical Review B, 2021 - APS
We consider two-dimensional q-state quantum clock models with quantum fluctuations
connecting states with all-to-all clock transitions with different choices for the matrix …

Quantum electrodynamics of non-Hermitian Dirac fermions

SA Murshed, B Roy - Journal of High Energy Physics, 2024 - Springer
A bstract We develop an effective quantum electrodynamics for non-Hermitian (NH) Dirac
materials interacting with photons. These systems are described by nonspatial symmetry …

Low-energy critical behavior in two-dimensional tilted semi-Dirac semimetals driven by fermion-fermion interactions

W Liu, WH Bian, XZ Chu, J Wang - arxiv preprint arxiv:2409.07126, 2024 - arxiv.org
Employing the renormalization group approach, we carefully investigate the critical behavior
of two-dimensional tilted semi-Dirac semimetals induced by the fermion-fermion interactions …

Superconductivity in three-dimensional interacting doped topological insulators

AL Szabó, B Roy - Physical Review B, 2024 - APS
Three-dimensional doped Dirac insulators foster simply connected (in both topological and
trivial regimes) and annular (deep inside the topological regime) Fermi surfaces (FSs) in the …

[HTML][HTML] Quantum criticality of fermion velocities and critical temperature nearby a putative quantum phase transition in the d-wave superconductors

XY Ren, YH Zhai, J Wang - Nuclear Physics B, 2022 - Elsevier
Quantum critical behaviors induced by a putative quantum phase transition are vigilantly
investigated, which separates a d-wave superconducting state and d-wave …

Fermion-fermion interaction driven phase transitions in rhombohedral trilayer graphene

QC Zhang, J Wang - Physical Review B, 2025 - APS
The effects of short-range fermion-fermion interactions on the low-energy properties of
rhombohedral trilayer graphene are comprehensively investigated using the momentum …