The Non-Abelian Density Matrix Renormalization Group Algorithm
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McCulloch, I P; Gulacsi, Miklos
Description
We 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...[Show more]
dc.contributor.author | McCulloch, I P | |
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dc.contributor.author | Gulacsi, Miklos | |
dc.date.accessioned | 2015-12-13T22:22:29Z | |
dc.date.available | 2015-12-13T22:22:29Z | |
dc.identifier.issn | 0295-5075 | |
dc.identifier.uri | http://hdl.handle.net/1885/72270 | |
dc.description.abstract | We 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.publisher | Les Editions de Physique | |
dc.source | Europhysics Letters | |
dc.title | The Non-Abelian Density Matrix Renormalization Group Algorithm | |
dc.type | Journal article | |
local.description.notes | Imported from ARIES | |
local.description.refereed | Yes | |
local.identifier.citationvolume | 57 | |
dc.date.issued | 2002 | |
local.identifier.absfor | 010104 - Combinatorics and Discrete Mathematics (excl. Physical Combinatorics) | |
local.identifier.ariespublication | MigratedxPub3159 | |
local.type.status | Published Version | |
local.contributor.affiliation | McCulloch, I P, College of Physical and Mathematical Sciences, ANU | |
local.contributor.affiliation | Gulacsi, Miklos, College of Physical and Mathematical Sciences, ANU | |
local.bibliographicCitation.issue | 6 | |
local.bibliographicCitation.startpage | 852 | |
local.bibliographicCitation.lastpage | 858 | |
local.identifier.doi | 10.1209/epl/i2002-00393-0 | |
dc.date.updated | 2015-12-11T07:56:50Z | |
local.identifier.scopusID | 2-s2.0-0036340340 | |
Collections | ANU Research Publications |
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