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Crossover effects in the random-exchange spin-1/2 antiferromagnetic chain
KTH, Superseded Departments, Physics.ORCID iD: 0000-0003-3228-2826
2004 (English)In: Physical Review B. Condensed Matter and Materials Physics, ISSN 1098-0121, E-ISSN 1550-235X, Vol. 70, no 5Article in journal (Refereed) Published
Abstract [en]

The random antiferromagnetic spin-1/2 XX and XXZ chain is studied numerically for varying strength of the disorder, using exact diagonalization and stochastic series expansion methods. The spin-spin correlation function as well as the stiffness display a clear crossover from the pure behavior (no disorder) to the infinite randomness fixed point or random singlet behavior predicted by the real space renormalization group. The crossover length scale is shown to diverge as xisimilar toD(-gamma), where D is the variance of the random bonds. Our estimates for the exponent gamma agrees well within the error bars with the one for the localization length exponent emerging within an analytical bosonization calculation. Exact diagonalization and stochastic series expansion results for the string correlation function are also presented.

Place, publisher, year, edition, pages
2004. Vol. 70, no 5
Keyword [en]
one-dimensional antiferromagnets, matrix renormalization-group, anti-ferromagnetic chain, critical-behavior, haldane phase, xxz chains, localization, disorder, absence, models
National Category
Condensed Matter Physics
URN: urn:nbn:se:kth:diva-23706DOI: 10.1103/PhysRevB.70.054430ISI: 000223716100077ScopusID: 2-s2.0-37649028023OAI: diva2:342405
QC 20100525 QC 20110926Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2011-09-26Bibliographically approved

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