Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

ChemInform

ChemInform Abstract: Applications of Density Matrix Renormalization Group to Problems in Magnetism

G A Gehring, Robert J. Bursill, Tao Xiang

Published Jun 24, 1997• 0 citations
Publisher

Abstract

Abstract ChemInform is a weekly Abstracting Service, delivering concise information at a glance that was extracted from about 100 leading journals. To access a ChemInform Abstract of an article which was published elsewhere, please select a “Full Text” option. The original article is trackable via the “References” option.
DOI
10.1002/chin.199726297

Related papers

Density-matrix renormalization group: a pedagogical introduction

Gonçalo Catarina, Bruno Murta

Abstract The physical properties of a quantum many-body system can, in principle, be determined by diagonalizing the respective Hamiltonian, but the dimensions of its matrix representation scale exponentially with the number of degrees of freedom. Hence, only small systems that are described through simple models can be tackled via exact diagonalization. To overcome this limitation, numerical methods based on the renormalization group paradigm that restrict the quantum many-body problem to a manageable subspace of the exponentially large full Hilbert space have been put forth. A striking example is the density-matrix renormalization group (DMRG), which has become the reference numerical method to obtain the low-energy properties of one-dimensional quantum systems with short-range interactions. Here, we provide a pedagogical introduction to DMRG, presenting both its original formulation and its modern tensor-network-based version. This colloquium sets itself apart from previous contributions in two ways. First, didactic code implementations are provided to bridge the gap between conceptual and practical understanding. Second, a concise and self-contained introduction to the tensor-network methods employed in the modern version of DMRG is given, thus allowing the reader to effortlessly cross the deep chasm between the two formulations of DMRG without having to explore the broad literature on tensor networks. We expect this pedagogical review to find wide readership among students and researchers who are taking their first steps in numerical simulations via DMRG. Graphic abstract

arXiv:2304.13395•The European Physical Journal B•Aug 1, 2023•23 citations

Methods for Electronic Structure Calculations: Overview from a Reduced‐Density‐Matrix Point of View

P. Ziesche, Ferenc Tasnádi

Abstract For Abstract see ChemInform Abstract in Full Text.

ChemInform•Feb 2, 2005•0 citations

Exact and Approximate Theoretical Techniques for Quantum Magnetism in Low Dimensions

Swapan Kumar Pati, S. Ramasesha, Diptiman Sen

Abstract For Abstract see ChemInform Abstract in Full Text.

ChemInform•Aug 27, 2003•0 citations

Strongly correlated systems and density matrix renormalization group in quantum chemistry

Libor Veis, Jan Brandejs, Jiřı́ Pittner

This article is a pedagogical introduction to the density matrix renormalization group method and its application in quantum chemistry. It presents the easy-to-understand modern formulation based on matrix product states. It is written in Czech language.

arXiv:1807.06289•Jul 17, 2018•0 citations

ChemInform Abstract: Quantum Magnetism and Criticality

Subir Sachdev A

Abstract ChemInform is a weekly Abstracting Service, delivering concise information at a glance that was extracted from about 200 leading journals. To access a ChemInform Abstract of an article which was published elsewhere, please select a “Full Text” option. The original article is trackable via the “References” option.

ChemInform•Jun 5, 2008•0 citations

The Density Matrix Renormalization Group in Nuclear Physics: A Status Report

Stuart Pittel, J. Dukelsky, S. S. Dimitrova +1 more

We report on the current status of recent efforts to develop the Density Matrix Renormalization Group method for use in large-scale nuclear shell-model calculations.

arXiv:nucl-th/0302005•Talk given at•Feb 3, 2003•3 citations
Abstract The physical properties of a quantum many-body system can, in principle, be determined by diagonalizing the respective Hamiltonian, but the dimensions of its matrix representation scale exponentially with the number of degrees of freedom. Hence, only small systems that are described through simple models can be tackled via exact diagonalization. To overcome this limitation, numerical methods based on the renormalization group paradigm that restrict the quantum many-body problem to a manageable subspace of the exponentially large full Hilbert space have been put forth. A striking example is the density-matrix renormalization group (DMRG), which has become the reference numerical method to obtain the low-energy properties of one-dimensional quantum systems with short-range interactions. Here, we provide a pedagogical introduction to DMRG, presenting both its original formulation and its modern tensor-network-based version. This colloquium sets itself apart from previous contributions in two ways. First, didactic code implementations are provided to bridge the gap between conceptual and practical understanding. Second, a concise and self-contained introduction to the tensor-network methods employed in the modern version of DMRG is given, thus allowing the reader to effortlessly cross the deep chasm between the two formulations of DMRG without having to explore the broad literature on tensor networks. We expect this pedagogical review to find wide readership among students and researchers who are taking their first steps in numerical simulations via DMRG. Graphic abstract