Corrections to scaling for block entanglement in massive spin chains
We consider the Rényi entropies Sn in one-dimensional massive integrable models diagonalizable by means of corner transfer matrices (such as Heisenberg and Ising spin chains). By means of explicit examples and using the relation of the corner transfer matrix with the Virasoro algebra, we show that c...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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2010
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| _version_ | 1797059052656656384 |
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| author | Calabrese, P Cardy, J Peschel, I |
| author_facet | Calabrese, P Cardy, J Peschel, I |
| author_sort | Calabrese, P |
| collection | OXFORD |
| description | We consider the Rényi entropies Sn in one-dimensional massive integrable models diagonalizable by means of corner transfer matrices (such as Heisenberg and Ising spin chains). By means of explicit examples and using the relation of the corner transfer matrix with the Virasoro algebra, we show that close to a conformally invariant critical point, when the correlation length ξ is finite but large, the corrections to the scaling are of the unusual form ξ-x/n, with x the dimension of a relevant operator in the conformal theory. This is reminiscent of the results for gapless chains and should be valid for any massive one-dimensional model close to a conformal critical point. © 2010 IOP Publishing Ltd and SISSA. |
| first_indexed | 2024-03-06T19:58:48Z |
| format | Journal article |
| id | oxford-uuid:268da3b9-74eb-409f-a658-1a204357ec5b |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T19:58:48Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | oxford-uuid:268da3b9-74eb-409f-a658-1a204357ec5b2022-03-26T12:01:41ZCorrections to scaling for block entanglement in massive spin chainsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:268da3b9-74eb-409f-a658-1a204357ec5bEnglishSymplectic Elements at Oxford2010Calabrese, PCardy, JPeschel, IWe consider the Rényi entropies Sn in one-dimensional massive integrable models diagonalizable by means of corner transfer matrices (such as Heisenberg and Ising spin chains). By means of explicit examples and using the relation of the corner transfer matrix with the Virasoro algebra, we show that close to a conformally invariant critical point, when the correlation length ξ is finite but large, the corrections to the scaling are of the unusual form ξ-x/n, with x the dimension of a relevant operator in the conformal theory. This is reminiscent of the results for gapless chains and should be valid for any massive one-dimensional model close to a conformal critical point. © 2010 IOP Publishing Ltd and SISSA. |
| spellingShingle | Calabrese, P Cardy, J Peschel, I Corrections to scaling for block entanglement in massive spin chains |
| title | Corrections to scaling for block entanglement in massive spin chains |
| title_full | Corrections to scaling for block entanglement in massive spin chains |
| title_fullStr | Corrections to scaling for block entanglement in massive spin chains |
| title_full_unstemmed | Corrections to scaling for block entanglement in massive spin chains |
| title_short | Corrections to scaling for block entanglement in massive spin chains |
| title_sort | corrections to scaling for block entanglement in massive spin chains |
| work_keys_str_mv | AT calabresep correctionstoscalingforblockentanglementinmassivespinchains AT cardyj correctionstoscalingforblockentanglementinmassivespinchains AT pescheli correctionstoscalingforblockentanglementinmassivespinchains |