Order Parameters in XXZ-Type Spin 1/2 Quantum Models with Gibbsian Ground States

dc.contributor.author	Skrypnik, W.
dc.date.accessioned	2019-02-09T17:13:09Z
dc.date.available	2019-02-09T17:13:09Z
dc.date.issued	2006
dc.identifier.citation	Order Parameters in XXZ-Type Spin 1/2 Quantum Models with Gibbsian Ground States / W. Skrypnik // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 8 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 82B10; 82B20; 82B26
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146442
dc.description.abstract	A class of general spin 1/2 lattice models on hyper-cubic lattice Zd, whose Hamiltonians are sums of two functions depending on the Pauli matrices S¹, S² and S³, respectively, are found, which have Gibbsian eigen (ground) states and two order parameters for two spin components x, z simultaneously for large values of the parameter α playing the role of the inverse temperature. It is shown that the ferromagnetic order in x direction exists for all dimensions d ≥ 1 for a wide class of considered models (a proof is remarkably simple).	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Order Parameters in XXZ-Type Spin 1/2 Quantum Models with Gibbsian Ground States	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA