Electronic properties of graphene-based bilayer systems

AV Rozhkov, AO Sboychakov, AL Rakhmanov, F Nori - Physics Reports, 2016 - Elsevier
This article reviews the theoretical and experimental work related to the electronic properties
of bilayer graphene systems. Three types of bilayer stackings are discussed: the AA, AB, and …

Chiral d-wave superconductivity in doped graphene

AM Black-Schaffer, C Honerkamp - Journal of Physics …, 2014 - iopscience.iop.org
A highly unconventional superconducting state with a spin-singlet $ d_ {x^ 2-y^ 2}\pm {\rm i}
d_ {xy} $-wave, or chiral d-wave symmetry has recently been suggested to emerge from …

Functional renormalization group for multi-orbital Fermi surface instabilities

C Platt, W Hanke, R Thomale - Advances in Physics, 2013 - Taylor & Francis
Technological progress in material synthesis, as well as artificial realization of condensed
matter scenarios via ultra-cold atomic gases in optical lattices or epitaxial growth of thin …

Accurate tight-binding models for the bands of bilayer graphene

J Jung, AH MacDonald - Physical Review B, 2014 - APS
We derive an ab initio π-band tight-binding model for AB stacked bilayer graphene based on
maximally localized Wannier wave functions centered on the carbon sites, finding that both …

Antiferromagnetic critical point on graphene's honeycomb lattice: A functional renormalization group approach

L Janssen, IF Herbut - Physical Review B, 2014 - APS
Electrons on the half-filled honeycomb lattice are expected to undergo a direct continuous
transition from the semimetallic into the antiferromagnetic insulating phase with increase of …

Multiloop functional renormalization group for the two-dimensional Hubbard model: Loop convergence of the response functions

A Tagliavini, C Hille, F Kugler, S Andergassen… - SciPost Physics, 2019 - scipost.org
We present a functional renormalization group (fRG) study of the two dimensional Hubbard
model, performed with an algorithmic implementation which lifts some of the common …

Superconductivity and magnetism in the surface states of ABC-stacked multilayer graphene

OA Awoga, T Löthman, AM Black-Schaffer - Physical Review B, 2023 - APS
ABC-stacked multilayer graphene (ABC-MLG) exhibits topological surface flat bands with a
divergent density of states, leading to many-body instabilities at charge neutrality. Here, we …

High-performance functional renormalization group calculations for interacting fermions

J Lichtenstein, DS de la Peña, D Rohe… - Computer Physics …, 2017 - Elsevier
We derive a novel computational scheme for functional Renormalization Group (fRG)
calculations for interacting fermions on 2D lattices. The scheme is based on the exchange …

Field-theoretic functional renormalization group formalism for non-Fermi liquids and its application to the antiferromagnetic quantum critical metal in two dimensions

F Borges, A Borissov, A Singh, A Schlief, SS Lee - Annals of Physics, 2023 - Elsevier
To capture the universal low-energy physics of metals within effective field theories, one has
to generalize the usual notion of scale invariance and renormalizable field theory due to the …

Competing instabilities of the extended Hubbard model on the triangular lattice: Truncated-unity functional renormalization group and application to moiré materials

N Gneist, L Classen, MM Scherer - Physical Review B, 2022 - APS
A simple yet paradigmatic model for the interplay of strong electronic correlations and
geometric frustration is the triangular lattice Hubbard model. Recently it was proposed that …