Electron-electron interactions in graphene: Current status and perspectives

VN Kotov, B Uchoa, VM Pereira, F Guinea… - Reviews of modern …, 2012 - APS
The problem of electron-electron interactions in graphene is reviewed. Starting from the
screening of long-range interactions in these systems, the existence of an emerging Dirac …

Magnetism of finite graphene samples: Mean-field theory compared with exact diagonalization and quantum Monte Carlo simulations

H Feldner, ZY Meng, A Honecker, D Cabra… - Physical Review B …, 2010 - APS
The magnetic properties of graphene on finite geometries are studied using a self-consistent
mean-field theory of the Hubbard model. This approach is known to predict ferromagnetic …

The ALF (Algorithms for Lattice Fermions) project release 1.0. Documentation for the auxiliary field quantum Monte Carlo code

M Bercx, F Goth, JS Hofmann, FF Assaad - SciPost Physics, 2017 - scipost.org
Abstract The Algorithms for Lattice Fermions package provides a general code for the finite
temperature auxiliary field quantum Monte Carlo algorithm. The code is engineered to be …

The ALF (Algorithms for Lattice Fermions) project release 2.0. Documentation for the auxiliary-field quantum Monte Carlo code

FF Assaad, M Bercx, F Goth, A Götz… - SciPost Physics …, 2022 - scipost.org
Abstract The Algorithms for Lattice Fermions package provides a general code for the finite-
temperature and projective auxiliary-field quantum Monte Carlo algorithm. The code is …

Realizing a tunable honeycomb lattice in ABBA-stacked twisted double bilayer

H Pan, EA Kim, CM Jian - Physical Review Research, 2023 - APS
The ideal honeycomb lattice, featuring sublattice and SU (2) spin rotation symmetries, is a
fundamental model for investigating quantum matter with topology and correlations. With the …

Excitonic and nematic instabilities on the surface of topological Kondo insulators

B Roy, J Hofmann, V Stanev, JD Sau, V Galitski - Physical Review B, 2015 - APS
We study the effects of strong electron-electron interactions on the surface of cubic
topological Kondo insulators (such as samarium hexaboride, SmB 6). Cubic topological …

Impurity-induced magnetic moments on the graphene-lattice Hubbard model: An inhomogeneous cluster dynamical mean-field theory study

M Charlebois, D Sénéchal, AM Gagnon, AMS Tremblay - Physical Review B, 2015 - APS
Defect-induced magnetic moments are at the center of the research effort on spintronic
applications of graphene. Here, we study the problem of a nonmagnetic impurity in …

Inducing a metal-insulator transition in disordered interacting Dirac fermion systems via an external magnetic field

J Meng, R Mondaini, T Ma, HQ Lin - Physical Review B, 2021 - APS
We investigate metal-insulator transitions on an interacting two-dimensional Dirac fermion
system using the determinant quantum Monte Carlo method. The interplay between …

Universal collective Larmor-Silin mode emerging in magnetized correlated Dirac fermions

C Chen, Y Da Liao, C Zhou, G Pan, ZY Meng, Y Qi - Physical Review B, 2024 - APS
Employing large-scale quantum Monte Carlo simulations, we find that in the magnetized
interacting Dirac fermion model there emerges a universal collective Larmor-Silin spin wave …

Zeeman field induced corner states in the Kane-Mele-Hubbard model

J Zhang, H Xu, Y Wang - arXiv preprint arXiv:2408.09492, 2024 - arxiv.org
We investigate how the in-plane Zeeman field and the Hubbard interaction can jointly affect
the topological states in the Kane-Mele-Hubbard model. At low Zeeman field, the projector …