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physica status solidi (b)

Amorphization of the Transverse Ising Model with Spin‐1

Jialin Zhong, Jialiang Li, Chuan‐Zhang Yang

Published Jul 1, 1990• 29 citations
Publisher

Abstract

Abstract The amorphization of the transverse Ising model on square lattice with S = 1 is discussed by using the effective‐field approximation. The longitudinal and transverse magnetization, the fluctuation of spin operator Sz, Δ = (y – m )1/2, associated with the order parameter y  ≪(S )2≫r and the initial parallel susceptibility χ‖ are calculated in detail. Some interesting properties in their behavior are investigated.

DOI
10.1002/pssb.2221600132

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Abstract The amorphization of the transverse Ising model on square lattice with S = 1 is discussed by using the effective‐field approximation. The longitudinal and transverse magnetization, the fluctuation of spin operator Sz, Δ = (y – m )1/2, associated with the order parameter y  ≪(S )2≫r and the initial parallel susceptibility χ‖ are calculated in detail. Some interesting properties in their behavior are investigated.
The magnetic properties of the transverse Ising model with coordination number 6 (simple cubic lattice) and 4 (square lattice) are studied by using Bethe-Peierls approximation. For different transverse fields, the quantities of the two systems, such as the free energy, transverse and longitudinal magnetizations, internal energy and the magnetic specific heat, and so on, are calculated. It is found that the transverse field influences the quantities of the system very much and has the inhibiting effect on the spontaneous magnetization.