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Random anisotropy in lattice gas model
Institution:1. School of Materials Science and Nanotechnology, Jadavpur University, Kolkata, West Bengal 700032, India;2. School of Nano Science and Technology, Indian Institute of Technology Kharagpur, West Bengal 721302, India;3. Department of Physics, Faculty of Engineering and Computing Sciences, Teerthanker Mahaveer University, Moradabad, UP 244001, India;4. Thin Film and Nanoscience Laboratory, Department of Physics, Jadavpur University, Kolkata, West Bengal 700032, India
Abstract:We consider a lattice-gas model with infinite-range interaction with site dependent random anisotropy distributed with a Gaussian distribution. The random anisotropy lattice-gas analogous of the random field Ising model is solved exactly using a replica theory. We show that, at finite temperature, the introduction of disorder eliminates completely the phase transition, and destroy the equivalence between real gases and Ising magnets. Whereas at T = 0, the density of occupied sites has a step-like behavior as function of the random anisotropy.
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