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4 papers · 2 filters
Random antiferromagnetic quantum spin chains: Exact results from scaling of rare regions
F. Igloi, R. Juhasz, H. Rieger
We study XY and dimerized XX spin-1/2 chains with random exchange couplings by analytical and numerical methods and scaling considerations. We extend previous investigations to dyn…
Correlation length-exponent relation for the two-dimensional random Ising model
Peter Lajko, Ferenc Igloi
We consider the two-dimensional (2d) random Ising model on a diagonal strip of the square lattice, where the bonds take two values, , with equal probability. Using an iter…
Critical exponents of random XX and XY chains: Exact results via random walks
H. Rieger, R. Juhasz, F. Igloi
We study random XY and (dimerized) XX spin-1/2 quantum spin chains at their quantum phase transition driven by the anisotropy and dimerization, respectively. Using exact expression…
Random quantum magnets with long-range correlated disorder: Enhancement of critical and Griffiths-McCoy singularities
H. Rieger, F. Igloi
We study the effect of spatial correlations in the quenched disorder on random quantum magnets at and near a quantum critical point. In the random transverse field Ising systems di…