Total spin in the density matrix renormalization group algorithm

Ian P. McCulloch; Miklós Gulácsi

doi:10.1080/09500830110040009

Total spin in the density matrix renormalization group algorithm

Ian P. McCulloch^*, Miklós Gulácsi

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

31 Citations (Scopus)

Abstract

A new density matrix renormalization group (DMRG) algorithm is presented which conserves the total spin. This is the first time that standard DMRG is extended to exploit fully the symmetries of the Hamiltonian. The obtained general procedure works for any operator, even operators that do not commute with the Hamiltonian. The new method gives substantial improvements over the standard DMRG.

Original language	English
Pages (from-to)	447-453
Number of pages	7
Journal	Philosophical Magazine Letters
Volume	81
Issue number	6
DOIs	https://doi.org/10.1080/09500830110040009
Publication status	Published - Jun 2001

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10.1080/09500830110040009

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title = "Total spin in the density matrix renormalization group algorithm",

abstract = "A new density matrix renormalization group (DMRG) algorithm is presented which conserves the total spin. This is the first time that standard DMRG is extended to exploit fully the symmetries of the Hamiltonian. The obtained general procedure works for any operator, even operators that do not commute with the Hamiltonian. The new method gives substantial improvements over the standard DMRG.",

author = "McCulloch, {Ian P.} and Mikl{\'o}s Gul{\'a}csi",

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AB - A new density matrix renormalization group (DMRG) algorithm is presented which conserves the total spin. This is the first time that standard DMRG is extended to exploit fully the symmetries of the Hamiltonian. The obtained general procedure works for any operator, even operators that do not commute with the Hamiltonian. The new method gives substantial improvements over the standard DMRG.

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Total spin in the density matrix renormalization group algorithm

Abstract

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