Applications of the density matrix renormalisation group to problems in magnetism
G. A. Gehring (University of Sheffield, UK), R. J. Bursill (UNSW,, Australia), T. Xiang (IRC for Superconductivity, Cambridge)
TL;DR
This paper reviews White's density matrix renormalisation group method and its applications to various low-dimensional quantum and classical magnetic systems, highlighting its versatility in solving complex Hamiltonians.
Contribution
It provides a comprehensive overview of the DMRG method and demonstrates its application to diverse problems in magnetism and quantum systems.
Findings
Effective in solving low-dimensional quantum Hamiltonians
Applicable to frustrated spin systems and quantum critical phenomena
Useful for studying two-dimensional quantum models at finite temperature
Abstract
We review White's density matrix renormalisation group method, an increasingly popular method for the solution of low dimensional quantum Hamiltonians. We describe some applications to frustrated spin systems, quantum critical phenomena, two dimensional classical and one dimensional quantum systems at non-zero temperature, and low energy properties of two dimensional quantum models such as the Hubbard and Heisenberg Hamiltonians.
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Taxonomy
TopicsPhysics of Superconductivity and Magnetism · Quantum many-body systems · Theoretical and Computational Physics