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The Hubbard model: A computational perspective
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 …
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 …
renormalization group ideas, tensor networks have been revived thanks to quantum …
[KÖNYV][B] Quantum Monte Carlo approaches for correlated systems
Over the past several decades, computational approaches to studying strongly-interacting
systems have become increasingly varied and sophisticated. This book provides a …
systems have become increasingly varied and sophisticated. This book provides a …
Stripe order in the underdoped region of the two-dimensional Hubbard model
Competing inhomogeneous orders are a central feature of correlated electron materials,
including the high-temperature superconductors. The two-dimensional Hubbard model …
including the high-temperature superconductors. The two-dimensional Hubbard model …
From quantum matter to high-temperature superconductivity in copper oxides
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 …
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 …
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
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 …
occupancies, and Matsubara-axis self-energies) of the single-orbital Hubbard model on a …
Ground-state phase diagram of the tt′-J model
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 …
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 …
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
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 …
physics, such as condensed matter physics, statistic physics, high energy physics, and …