Ground State Properties of Ising Chain with Random Monomer–Dimer Couplings
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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.
KeywordsMagnetization Random monomer–dimer couplings Correlations
We would like to thank Bernard Derrida for illuminating discussion and pointing out the possibility of flipping a combination of clusters at the critical fields. We also thank Ehsan Khatami for critical reading of the manuscript.
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