Disorder-induced phases in the S=1 antiferromagnetic Heisenberg chain

Péter Lajkó, Enrico Carlon, Heiko Rieger, F. Iglói

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We use extensive density matrix renormalization group (DMRG) calculations to explore the phase diagram of the random S=1 antiferromagnetic Heisenberg chain with a power-law distribution of the exchange couplings. We use open chains and monitor the lowest gaps, the end-to-end correlation function and the string order parameter. For this distribution at weak disorder, the system is in the gapless Haldane phase with a disorder dependent dynamical exponent, z, and z=1 signals the border between the nonsingular and singular regions of the local susceptibility. For strong enough disorder, which approximately corresponds to a uniform distribution, a transition into the random singlet phase is detected, at which the string order parameter as well as the average end-to-end correlation function are vanishing and at the same time the dynamical exponent is divergent. Singularities of physical quantities are found to be somewhat different in the random singlet phase and in the critical point.

Original languageEnglish
Article number094205
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume72
Issue number9
DOIs
Publication statusPublished - Sep 1 2005

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disorders
Exchange coupling
strings
exponents
Phase diagrams
borders
critical point
phase diagrams
magnetic permeability

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Disorder-induced phases in the S=1 antiferromagnetic Heisenberg chain. / Lajkó, Péter; Carlon, Enrico; Rieger, Heiko; Iglói, F.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 72, No. 9, 094205, 01.09.2005.

Research output: Contribution to journalArticle

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