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Paper   IPM / Physic / 14410
School of Physics
Title:   Ground State Properties of Ising Chain with Random Monomer-Dimer Couplings
Author(s):
 1 S.B. Seyedein Ardebili 2 R. Sepehrinia
Status:   Published
Journal: J. Stat. Phys.
No.:  3
Vol.:  163
Year:  2016
Pages:   568-575
Supported by:  IPM
Abstract:
We study analytically the one-dimensional Ising model with a random binary distribution of ferromagnetic and antiferromagnetic exchange couplings at zero temperature. We introduce correlations in the disorder by assigning a dimer of one type of coupling with probability x, and a monomer of the other type with probability 1-x. We find that the magnetization behaves differently from the original binary model. In particular, depending on which type of coupling comes in dimers, magnetization jumps vanish at a certain set of critical fields. We explain the results based on the structure of ground state spin configuration.

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