1995•Progress of Theoretical PhysicsRequires access

Spin-3/2 Ising Model and Ashkin-Teller Model

Tomoya Horiguchi, Yasushi Honda

Open publisher page 17 citations

Abstract

We derive a relation between a general spin-3/2 Ising model and an Ising model with two sets of Ising spins. A spin-3/2 Ising model with up-down symmetry is expressed in terms of an Ashkin-Teller model and solved exactly in some cases without assuming extended Horiguchi's condition. It turns out that the system on the square lattice shows rich critical phenomena.

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What this paper is about

We derive a relation between a general spin-3/2 Ising model and an Ising model with two sets of Ising spins. A spin-3/2 Ising model with up-down symmetry is expressed in terms of an Ashkin-Teller model and solved exactly in some cases without assuming extended Horiguchi's condition. It turns out that the system on the square lattice shows rich critical phenomena.

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Available abstract

We derive a relation between a general spin-3/2 Ising model and an Ising model with two sets of Ising spins. A spin-3/2 Ising model with up-down symmetry is expressed in terms of an Ashkin-Teller model and solved exactly in some cases without assuming extended Horiguchi's condition. It turns out that the system on the square lattice shows rich critical phenomena.

Key concepts: Ising model, Physics, Square-lattice Ising model, Spins, Ising spin, Square lattice, Statistical physics, Spin (aerodynamics)

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