Exactly solvable Ising-Heisenberg chain with triangular $XXZ$-Heisenberg plaquettes

Exactly solvable Ising-Heisenberg chain with triangular $X X Z$ -Heisenberg plaquettes

Diana Antonosyan, Stefano Bellucci, and Vadim Ohanyan

Phys. Rev. B 79, 014432 – Published 23 January 2009

Abstract

A mixed Ising-Heisenberg spin system consisting of triangular $X X Z$ -Heisenberg spin clusters assembled into a chain by alternating with Ising spins interacting to all three spins in the triangle is considered. The exact solution of the model is given in terms of the generalized decoration-iteration map and within the transfer-matrix technique. Exact expressions for thermodynamic functions are derived. Ground-state phase diagrams and thermodynamic and magnetic properties of the system are examined.

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Received 1 September 2008

DOI:https://doi.org/10.1103/PhysRevB.79.014432

Authors & Affiliations

Diana Antonosyan^1,2, Stefano Bellucci^3,*, and Vadim Ohanyan^1,4,†

¹Department of Theoretical Physics, Yerevan State University, A. Manoogian 1, Yerevan 0025, Armenia
²Institute for Physical Research of National Academy of Sciences of Armenia, Ashtarak-2, 0203 Ashtarak, Armenia
³INFN–Laboratori Nazionali di Frascati, Via Enrico Fermi 40, 00044 Frascati, Italy
⁴Yerevan Physics Institute, Alikhanian Br. 2, Yerevan 0036, Armenia

^*bellucci@inf.infn.it
^†ohanyan@yerphi.am

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Issue

Vol. 79, Iss. 1 — 1 January 2009

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