Painleve transcendent describes quantum correlation function of the XXZ antiferromagnet away from the free-fermion point
We consider quantum correlation functions of the antiferromagnetic spin-1/2 Heisenberg XXZ spin chain in a magnetic field. We show that for a magnetic field close to the critical field hc (for the critical magnetic field the ground state is ferromagnetic) certain correlation functions can be express...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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1996
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| _version_ | 1826261352459534336 |
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| author | Essler, F Frahm, H Its, A Korepin, V |
| author_facet | Essler, F Frahm, H Its, A Korepin, V |
| author_sort | Essler, F |
| collection | OXFORD |
| description | We consider quantum correlation functions of the antiferromagnetic spin-1/2 Heisenberg XXZ spin chain in a magnetic field. We show that for a magnetic field close to the critical field hc (for the critical magnetic field the ground state is ferromagnetic) certain correlation functions can be expressed in terms of the solution of the Painlevé V transcendent. This establishes a relation between solutions of Painlevé differential equations and quantum correlation functions in models of interacting fermions. Painlevé transcendents were known to describe correlation functions in models with free fermionic spectra. © 1996 IOP Publishing Ltd. |
| first_indexed | 2024-03-06T19:20:03Z |
| format | Journal article |
| id | oxford-uuid:19c3ef25-33d0-4640-b3be-81fb98b1a419 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T19:20:03Z |
| publishDate | 1996 |
| record_format | dspace |
| spelling | oxford-uuid:19c3ef25-33d0-4640-b3be-81fb98b1a4192022-03-26T10:50:49ZPainleve transcendent describes quantum correlation function of the XXZ antiferromagnet away from the free-fermion pointJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:19c3ef25-33d0-4640-b3be-81fb98b1a419EnglishSymplectic Elements at Oxford1996Essler, FFrahm, HIts, AKorepin, VWe consider quantum correlation functions of the antiferromagnetic spin-1/2 Heisenberg XXZ spin chain in a magnetic field. We show that for a magnetic field close to the critical field hc (for the critical magnetic field the ground state is ferromagnetic) certain correlation functions can be expressed in terms of the solution of the Painlevé V transcendent. This establishes a relation between solutions of Painlevé differential equations and quantum correlation functions in models of interacting fermions. Painlevé transcendents were known to describe correlation functions in models with free fermionic spectra. © 1996 IOP Publishing Ltd. |
| spellingShingle | Essler, F Frahm, H Its, A Korepin, V Painleve transcendent describes quantum correlation function of the XXZ antiferromagnet away from the free-fermion point |
| title | Painleve transcendent describes quantum correlation function of the XXZ antiferromagnet away from the free-fermion point |
| title_full | Painleve transcendent describes quantum correlation function of the XXZ antiferromagnet away from the free-fermion point |
| title_fullStr | Painleve transcendent describes quantum correlation function of the XXZ antiferromagnet away from the free-fermion point |
| title_full_unstemmed | Painleve transcendent describes quantum correlation function of the XXZ antiferromagnet away from the free-fermion point |
| title_short | Painleve transcendent describes quantum correlation function of the XXZ antiferromagnet away from the free-fermion point |
| title_sort | painleve transcendent describes quantum correlation function of the xxz antiferromagnet away from the free fermion point |
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