The density-matrix renormalization group

U Schollwöck - Reviews of modern physics, 2005 - APS
The density-matrix renormalization group (DMRG) is a numerical algorithm for the efficient
truncation of the Hilbert space of low-dimensional strongly correlated quantum systems …

Magnetic interactions in molecules and highly correlated materials: physical content, analytical derivation, and rigorous extraction of magnetic Hamiltonians

JP Malrieu, R Caballol, CJ Calzado, C De Graaf… - Chemical …, 2014 - ACS Publications
Magnetism is a phenomenon that has always captured the imagination of humans. Its
discovery in the western world is attributed to the ancient Greek civilization. More than 2500 …

Ground-state phase diagram of the tt-J model

S Jiang, DJ Scalapino… - Proceedings of the …, 2021 - National Acad Sciences
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 …

Computational studies of quantum spin systems

AW Sandvik - AIP Conference Proceedings, 2010 - pubs.aip.org
These lecture notes introduce quantum spin systems and several computational methods for
studying their ground‐state and finite‐temperature properties. Symmetry‐breaking and …

[HTML][HTML] Progress on stochastic analytic continuation of quantum Monte Carlo data

H Shao, AW Sandvik - Physics Reports, 2023 - Elsevier
We report multipronged progress on the stochastic averaging approach to numerical
analytic continuation of imaginary-time correlation functions computed by quantum Monte …

Studying two-dimensional systems with the density matrix renormalization group

EM Stoudenmire, SR White - Annu. Rev. Condens. Matter Phys., 2012 - annualreviews.org
The density matrix renormalization group (DMRG) is one of the most powerful numerical
methods for studying two-dimensional quantum lattice systems, despite a perception that it is …

Surprises on the way from one-to two-dimensional quantum magnets: The ladder materials

E Dagotto, TM Rice - Science, 1996 - science.org
To make the transition from the quasi-long-range order in a chain of antiferromagnetically
coupled S= 1/2 spins to the true long-range order that occurs in a plane, one can assemble …

[图书][B] New directions in solid state chemistry

CNR Rao, J Gopalakrishnan - 1997 - books.google.com
In the new edition of this widely praised textbook, all the chapters have been revised and the
authors have brought the work completely up to date by the addition of new material on …

Defects in correlated metals and superconductors

H Alloul, J Bobroff, M Gabay, PJ Hirschfeld - Reviews of Modern Physics, 2009 - APS
In materials with strong local Coulomb interactions, simple defects such as atomic
substitutions strongly affect both macroscopic and local properties of the system. A …

Dimerization and incommensurate spiral spin correlations in the zigzag spin chain: Analogies to the Kondo lattice

SR White, I Affleck - Physical Review B, 1996 - APS
Using the density matrix renormalization group and a bosonization approach, we study a
spin-1/2 antiferromagnetic Heisenberg chain with near-neighbor coupling J 1 and frustrating …