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

Abstract

A mixed Ising-Heisenberg spin system consisting of triangular XXZ-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, thermodynamic and magnetic properties of the system are examined.

16 pages, 12 figures

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• A conjecture on the relationship between critical residual entropy and finite temperature pseudo-transitions of one-dimensional models
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• Ferrimagnetic spin-1/2 chain of alternating Ising and Heisenberg spins in arbitrarily oriented magnetic field
• Magnetization and Lyapunov exponents on a kagome chain with multi-site exchange interaction
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• Finite size effects around pseudo-transition in one-dimensional models with nearest neighbor interaction
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