Dimerized phase in the cross-coupled antiferromagnetic spin ladder

G. Barcza, O. Legeza, R. M. Noack, J. Sólyom

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

We revisit the phase diagram of the frustrated s=1/2 spin ladder with antiferromagnetic rung and diagonal couplings. In particular, we reexamine the evidence for the columnar dimer phase, which has been predicted from analytic treatment of the model and has been claimed to be found in numerical calculations. By performing density-matrix renormalization-group (DMRG) calculations on long ladders, keeping a large number of states within the DMRG, and carrying out careful scaling in number of states kept and system size, we calculate the behavior of the dimer order parameter as a function of frustration strength. We find no positive numerical evidence for a finite dimer order parameter in the thermodynamic limit anywhere in the parameter regime in which the columnar dimer phase is expected to appear. Conservative error estimates in the scaling of our data place stringent limits on the maximum possible value of the dimer order parameter and the maximum possible extent of the parameter regime in which a sufficiently weak dimer phase could still exist.

Original languageEnglish
Article number075133
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume86
Issue number7
DOIs
Publication statusPublished - Aug 20 2012

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Ladders
ladders
Dimers
dimers
scaling
frustration
Phase diagrams
phase diagrams
Thermodynamics
thermodynamics
estimates

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Dimerized phase in the cross-coupled antiferromagnetic spin ladder. / Barcza, G.; Legeza, O.; Noack, R. M.; Sólyom, J.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 86, No. 7, 075133, 20.08.2012.

Research output: Contribution to journalArticle

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