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The Non-Abelian Density Matrix Renormalization Group Algorithm

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dc.contributor.authorMcCulloch, I P
dc.contributor.authorGulacsi, Miklos
dc.date.accessioned2015-12-13T22:22:29Z
dc.date.available2015-12-13T22:22:29Z
dc.date.issued2002
dc.date.updated2015-12-11T07:56:50Z
dc.description.abstractWe describe here the extension of the density matrix renormalization group algorithm to the case where the Hamiltonian has a non-Abelian global symmetry group. The block states transform as irreducible representations of the non-Abelian group. Since the representations are multi-dimensional, a single block state in the new representation corresponds to multiple states of the original density matrix renormalization group basis. We demonstrate the usefulness of the construction via the one-dimensional Hubbard model as the symmetry group is enlarged from U(1) × U(1), up to SU(2) × SU(2).
dc.identifier.issn0295-5075
dc.identifier.urihttp://hdl.handle.net/1885/72270
dc.publisherLes Editions de Physique
dc.sourceEurophysics Letters
dc.titleThe Non-Abelian Density Matrix Renormalization Group Algorithm
dc.typeJournal article
local.bibliographicCitation.issue6
local.bibliographicCitation.lastpage858
local.bibliographicCitation.startpage852
local.contributor.affiliationMcCulloch, I P, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationGulacsi, Miklos, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidMcCulloch, I P, u9617642
local.contributor.authoruidGulacsi, Miklos, u9509706
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor010104 - Combinatorics and Discrete Mathematics (excl. Physical Combinatorics)
local.identifier.ariespublicationMigratedxPub3159
local.identifier.citationvolume57
local.identifier.doi10.1209/epl/i2002-00393-0
local.identifier.scopusID2-s2.0-0036340340
local.type.statusPublished Version

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