SU(2)-invariant continuum theory for an unconventional phase transition in a three-dimensional classical dimer model.
We derive a continuum theory for the phase transition in a classical dimer model on the cubic lattice, observed in recent Monte Carlo simulations. Our derivation relies on the mapping from a three-dimensional classical problem to a two-dimensional quantum problem, by which the dimer model is related...
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| Format: | Journal article |
| Language: | English |
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2008
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| _version_ | 1797087143870332928 |
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| author | Powell, S Chalker, J |
| author_facet | Powell, S Chalker, J |
| author_sort | Powell, S |
| collection | OXFORD |
| description | We derive a continuum theory for the phase transition in a classical dimer model on the cubic lattice, observed in recent Monte Carlo simulations. Our derivation relies on the mapping from a three-dimensional classical problem to a two-dimensional quantum problem, by which the dimer model is related to a model of hard-core bosons on the kagome lattice. The dimer-ordering transition becomes a superfluid-Mott insulator quantum phase transition at fractional filling, described by an SU(2)-invariant continuum theory. |
| first_indexed | 2024-03-07T02:31:50Z |
| format | Journal article |
| id | oxford-uuid:a77da873-60d0-4b9c-a3b0-3dfeeb9efbf9 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T02:31:50Z |
| publishDate | 2008 |
| record_format | dspace |
| spelling | oxford-uuid:a77da873-60d0-4b9c-a3b0-3dfeeb9efbf92022-03-27T02:54:59ZSU(2)-invariant continuum theory for an unconventional phase transition in a three-dimensional classical dimer model.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a77da873-60d0-4b9c-a3b0-3dfeeb9efbf9EnglishSymplectic Elements at Oxford2008Powell, SChalker, JWe derive a continuum theory for the phase transition in a classical dimer model on the cubic lattice, observed in recent Monte Carlo simulations. Our derivation relies on the mapping from a three-dimensional classical problem to a two-dimensional quantum problem, by which the dimer model is related to a model of hard-core bosons on the kagome lattice. The dimer-ordering transition becomes a superfluid-Mott insulator quantum phase transition at fractional filling, described by an SU(2)-invariant continuum theory. |
| spellingShingle | Powell, S Chalker, J SU(2)-invariant continuum theory for an unconventional phase transition in a three-dimensional classical dimer model. |
| title | SU(2)-invariant continuum theory for an unconventional phase transition in a three-dimensional classical dimer model. |
| title_full | SU(2)-invariant continuum theory for an unconventional phase transition in a three-dimensional classical dimer model. |
| title_fullStr | SU(2)-invariant continuum theory for an unconventional phase transition in a three-dimensional classical dimer model. |
| title_full_unstemmed | SU(2)-invariant continuum theory for an unconventional phase transition in a three-dimensional classical dimer model. |
| title_short | SU(2)-invariant continuum theory for an unconventional phase transition in a three-dimensional classical dimer model. |
| title_sort | su 2 invariant continuum theory for an unconventional phase transition in a three dimensional classical dimer model |
| work_keys_str_mv | AT powells su2invariantcontinuumtheoryforanunconventionalphasetransitioninathreedimensionalclassicaldimermodel AT chalkerj su2invariantcontinuumtheoryforanunconventionalphasetransitioninathreedimensionalclassicaldimermodel |