Abstract
The effect of the random magnetic fields distributed by a Gaussian distribution centered at zero on the phase diagrams and ground state magnetizations of the transverse Ising thin film has been investigated. As a formulation, the differential operator technique and decoupling approximation within the effective field theory have been used. The variation of the phase diagrams with the Gaussian distribution width (σ) has been obtained and particular attention has been paid on the evolution of the special point coordinate with distribution parameter. In addition, the ground state longitudinal and transverse magnetization behaviors have been investigated in detail.
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