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Title: Ensemble dependence in the random transverse-field Ising chain
Authors: Dhar, Abhishek
Young, A.P.
Issue Date: 23-Oct-2003
Publisher: The American Physical Society
Citation: Physical Review B, 2003, Vol.68, 134441
Abstract: In a disordered system one can either consider a microcanonical ensemble, where there is a precise constraint on the random variables, or a canonical ensemble where the variables are chosen according to a distribution without constraints. We address the question as to whether critical exponents in these two cases can differ through a detailed study of the random transverse-field Ising chain. We find that the exponents are the same in both ensembles, though some critical amplitudes vanish in the microcanonical ensemble for correlations which span the whole system and are particularly sensitive to the constraint. This can appear as a different exponent. We expect that this apparent dependence of exponents on ensemble is related to the integrability of the model, and would not occur in nonintegrable models.
ISSN: 1098-0121
1550-235X (online)
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Copyright: (2003) by the American Physical Society
Appears in Collections:Research Papers (TP)

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