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 …

Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory

G Rohringer, H Hafermann, A Toschi, AA Katanin… - Reviews of Modern …, 2018 - APS
Strong electronic correlations pose one of the biggest challenges to solid state theory.
Recently developed methods that address this problem by starting with the local, eminently …

Ultrafast optical spectroscopy of strongly correlated materials and high-temperature superconductors: a non-equilibrium approach

C Giannetti, M Capone, D Fausti, M Fabrizio… - Advances in …, 2016 - Taylor & Francis
In the last two decades non-equilibrium spectroscopies have evolved from avant-garde
studies to crucial tools for expanding our understanding of the physics of strongly correlated …

A common thread: The pairing interaction for unconventional superconductors

DJ Scalapino - Reviews of Modern Physics, 2012 - APS
The structures, the phase diagrams, and the appearance of a neutron resonance signaling
an unconventional superconducting state provide phenomenological evidence relating the …

Tracking the footprints of spin fluctuations: A multimethod, multimessenger study of the two-dimensional Hubbard model

T Schäfer, N Wentzell, F Šimkovic IV, YY He, C Hille… - Physical Review X, 2021 - APS
The Hubbard model represents the fundamental model for interacting quantum systems and
electronic correlations. Using the two-dimensional half-filled Hubbard model at weak …

Continuous-time Monte Carlo methods for quantum impurity models

E Gull, AJ Millis, AI Lichtenstein, AN Rubtsov… - Reviews of Modern …, 2011 - APS
Quantum impurity models describe an atom or molecule embedded in a host material with
which it can exchange electrons. They are basic to nanoscience as representations of …

Absence of superconductivity in the pure two-dimensional Hubbard model

M Qin, CM Chung, H Shi, E Vitali, C Hubig… - Physical Review X, 2020 - APS
We study the superconducting pairing correlations in the ground state of the doped Hubbard
model—in its original form without hop** beyond nearest neighbor or other perturbing …

Quantum critical points and the sign problem

R Mondaini, S Tarat, RT Scalettar - Science, 2022 - science.org
The “sign problem”(SP) is a fundamental limitation to simulations of strongly correlated
matter. It is often argued that the SP is not intrinsic to the physics of particular Hamiltonians …

Electronic structure calculations with dynamical mean-field theory

G Kotliar, SY Savrasov, K Haule, VS Oudovenko… - Reviews of Modern …, 2006 - APS
A review of the basic ideas and techniques of the spectral density-functional theory is
presented. This method is currently used for electronic structure calculations of strongly …

Quantum algorithms to simulate many-body physics of correlated fermions

Z Jiang, KJ Sung, K Kechedzhi, VN Smelyanskiy… - Physical Review …, 2018 - APS
Simulating strongly correlated fermionic systems is notoriously hard on classical computers.
An alternative approach, as proposed by Feynman, is to use a quantum computer. We …