Interacting topological insulators: a review

S Rachel - Reports on Progress in Physics, 2018 - iopscience.iop.org
The discovery of the quantum spin Hall effect and topological insulators more than a decade
ago has revolutionized modern condensed matter physics. Today, the field of topological …

Novel effects of strains in graphene and other two dimensional materials

B Amorim, A Cortijo, F De Juan, AG Grushin, F Guinea… - Physics Reports, 2016 - Elsevier
The analysis of the electronic properties of strained or lattice deformed graphene combines
ideas from classical condensed matter physics, soft matter, and geometrical aspects of …

Dirac fermions with competing orders: Non-landau transition with emergent symmetry

T Sato, M Hohenadler, FF Assaad - Physical review letters, 2017 - APS
We consider a model of Dirac fermions in 2+ 1 dimensions with dynamically generated,
anticommuting SO (3) Néel and Z 2 Kekulé mass terms that permits sign-free quantum …

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 …

Nematic quantum criticality in three-dimensional Fermi system with quadratic band touching

L Janssen, IF Herbut - Physical Review B, 2015 - APS
We construct and discuss the field theory for tensorial nematic order parameter coupled to
gapless four-component fermions at the quadratic band touching point in three (spatial) …

Phase diagram of interacting spinless fermions on the honeycomb lattice: A comprehensive exact diagonalization study

S Capponi, AM Läuchli - Physical Review B, 2015 - APS
We investigate the phase diagram of spinless fermions with nearest-and next-nearest-
neighbor density-density interactions on the honeycomb lattice at half-filling. Using exact …

Phase diagram of the Kane-Mele-Coulomb model

M Hohenadler, F Parisen Toldin, IF Herbut, FF Assaad - Physical Review B, 2014 - APS
We determine the phase diagram of the Kane-Mele model with a long-range Coulomb
interaction using an exact quantum Monte Carlo method. Long-range interactions are …

Fixed-point structure of low-dimensional relativistic fermion field theories: Universality classes and emergent symmetry

F Gehring, H Gies, L Janssen - Physical Review D, 2015 - APS
We investigate a class of relativistic fermion theories in 2< d< 4 space-time dimensions with
continuous chiral U (N f)× U (N f) symmetry. This includes a number of well-studied models …

Interaction-driven phases in the half-filled honeycomb lattice: An infinite density matrix renormalization group study

J Motruk, AG Grushin, F De Juan, F Pollmann - Physical Review B, 2015 - APS
The emergence of the Haldane Chern insulator state due to strong short-range repulsive
interactions in the half-filled fermionic spinless honeycomb lattice model has been proposed …

Quantum phase transitions in Dirac fermion systems

R Boyack, H Yerzhakov, J Maciejko - The European Physical Journal …, 2021 - Springer
A key problem in the field of quantum criticality is to understand the nature of quantum phase
transitions in systems of interacting itinerant fermions, motivated by experiments on a variety …