A numerical study of the Random Dimerized XX spin-1/2 chain

Details A numerical study of the Random Dimerized XX spin-1/2 chain A numerical study of the Random Dimerized XX spin-1/2 chain

1997-11-25

arxiv.org/abs/cond-mat/9711271v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

11 pages, 19 figures

Scientific paper

10.1103/PhysRevB.57.11457

The effects of randomness and dimerization on the spin-1/2 XX chain are studied by a mapping to free fermions. Results are presented for the transverse and longitudinal components of the average and typical spin and string correlation functions. Contrary to previous numerical evidence, the decay exponents of all the above correlation functions are found to be in good agreement with the theoretical RG predictions for the random singlet phase. We also present cross-over functions for the above correlation functions in the random dimer phase. Disorder averages have been taken for system sizes up to N=1024, about ten times larger than in previous studies.

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