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 …

Tensor networks for complex quantum systems

R Orús - Nature Reviews Physics, 2019 - nature.com
Originally developed in the context of condensed-matter physics and based on
renormalization group ideas, tensor networks have been revived thanks to quantum …

[KÖNYV][B] Quantum Monte Carlo approaches for correlated systems

F Becca, S Sorella - 2017 - books.google.com
Over the past several decades, computational approaches to studying strongly-interacting
systems have become increasingly varied and sophisticated. This book provides a …

Stripe order in the underdoped region of the two-dimensional Hubbard model

BX Zheng, CM Chung, P Corboz, G Ehlers, MP Qin… - Science, 2017 - science.org
Competing inhomogeneous orders are a central feature of correlated electron materials,
including the high-temperature superconductors. The two-dimensional Hubbard model …

From quantum matter to high-temperature superconductivity in copper oxides

B Keimer, SA Kivelson, MR Norman, S Uchida… - Nature, 2015 - nature.com
The discovery of high-temperature superconductivity in the copper oxides in 1986 triggered
a huge amount of innovative scientific inquiry. In the almost three decades since, much has …

Quantum entanglement in condensed matter systems

N Laflorencie - Physics Reports, 2016 - Elsevier
This review focuses on the field of quantum entanglement applied to condensed matter
physics systems with strong correlations, a domain which has rapidly grown over the last …

Solutions of the two-dimensional Hubbard model: Benchmarks and results from a wide range of numerical algorithms

JPF LeBlanc, AE Antipov, F Becca, IW Bulik, GKL Chan… - Physical Review X, 2015 - APS
Numerical results for ground-state and excited-state properties (energies, double
occupancies, and Matsubara-axis self-energies) of the single-orbital Hubbard model on a …

Ground-state phase diagram of the tt-J model

S Jiang, DJ Scalapino, SR White - … of the National Academy of Sciences, 2021 - pnas.org
We report results of large-scale ground-state density matrix renormalization group (DMRG)
calculations on tt′-J cylinders with circumferences 6 and 8. We determine a rough phase …

The density-matrix renormalization group in the age of matrix product states

U Schollwöck - Annals of physics, 2011 - Elsevier
The density-matrix renormalization group method (DMRG) has established itself over the
last decade as the leading method for the simulation of the statics and dynamics of one …

[KÖNYV][B] Tensor network contractions: methods and applications to quantum many-body systems

SJ Ran, E Tirrito, C Peng, X Chen, L Tagliacozzo, G Su… - 2020 - library.oapen.org
Tensor network is a fundamental mathematical tool with a huge range of applications in
physics, such as condensed matter physics, statistic physics, high energy physics, and …