The Hubbard model: A computational perspective

M Qin, T Schäfer, S Andergassen… - Annual Review of …, 2022 - annualreviews.org
The Hubbard model is the simplest model of interacting fermions on a lattice and is of similar
importance to correlated electron physics as the Ising model is to statistical mechanics or the …

Sign-problem-free fermionic quantum Monte Carlo: Developments and applications

ZX Li, H Yao - Annual Review of Condensed Matter Physics, 2019 - annualreviews.org
Reliable simulations of correlated quantum systems, including high-temperature
superconductors and frustrated magnets, are increasingly desired nowadays to further our …

Geometric origin of superfluidity in the Lieb-lattice flat band

A Julku, S Peotta, TI Vanhala, DH Kim, P Törmä - Physical review letters, 2016 - APS
The ground state and transport properties of the Lieb lattice flat band in the presence of an
attractive Hubbard interaction are considered. It is shown that the superfluid weight can be …

Direct observation of nonlocal fermion pairing in an attractive Fermi-Hubbard gas

T Hartke, B Oreg, C Turnbaugh, N Jia, M Zwierlein - Science, 2023 - science.org
The Hubbard model of attractively interacting fermions provides a paradigmatic setting for
fermion pairing. It features a crossover between Bose-Einstein condensation of tightly bound …

Superconductivity and non-Fermi liquid behavior near a nematic quantum critical point

S Lederer, Y Schattner, E Berg… - Proceedings of the …, 2017 - National Acad Sciences
Using determinantal quantum Monte Carlo, we compute the properties of a lattice model
with spin 1 2 itinerant electrons tuned through a quantum phase transition to an Ising …

Spin-imbalance in a 2D Fermi-Hubbard system

PT Brown, D Mitra, E Guardado-Sanchez, P Schauß… - Science, 2017 - science.org
The interplay of strong interactions and magnetic fields gives rise to unusual forms of
superconductivity and magnetism in quantum many-body systems. Here, we present an …

Systematic Study of -Wave Superconductivity in the 2D Repulsive Hubbard Model

TA Maier, M Jarrell, TC Schulthess, PRC Kent… - Physical review …, 2005 - APS
The cluster size dependence of superconductivity in the conventional two-dimensional
Hubbard model, commonly believed to describe high-temperature superconductors, is …

Ising nematic quantum critical point in a metal: A Monte Carlo study

Y Schattner, S Lederer, SA Kivelson, E Berg - Physical Review X, 2016 - APS
The Ising nematic quantum critical point associated with the zero-temperature transition from
a symmetric to a nematic metal is an exemplar of metallic quantum criticality. We carry out a …

Quantum gas microscopy of an attractive Fermi–Hubbard system

D Mitra, PT Brown, E Guardado-Sanchez, SS Kondov… - Nature Physics, 2018 - nature.com
Abstract The attractive Fermi–Hubbard model is the simplest theoretical model for studying
pairing and superconductivity of fermions on a lattice. It exhibits many interesting features …

Determinant diagrammatic Monte Carlo algorithm in the thermodynamic limit

R Rossi - Physical review letters, 2017 - APS
We present a simple trick that allows us to consider the sum of all connected Feynman
diagrams at fixed position of interaction vertices for general fermionic models, such that the …