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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2006
• Main Author: Skrypnik, W.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146442
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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 fo...