Quantum Criticality in Dimerized Spin Ladders

Details Quantum Criticality in Dimerized Spin Ladders Quantum Criticality in Dimerized Spin Ladders

2007-09-20

arxiv.org/abs/0709.3256v1

Phys. Rev. B 77, 224433 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 9 figures

Scientific paper

10.1103/PhysRevB.77.224433

We analyze a possibility of quantum criticality (gaplessness) in dimerized antiferromagnetic two- and three-leg spin-1/2 ladders. Contrary to earlier studies of these models, we examine different dimerization patterns in the ladder. We find that ladders with the columnar dimerization order have lower zero-temperature energies and they are always gapped. For the staggered dimerization order, we find the quantum critical lines, in agreement with earlier analyses. The bond mean-field theory we apply, demonstrates its quantitative accuracy and agrees with available numerical results. We conclude that unless some mechanism for locking dimerization into the energetically less favorable staggered configuration is provided, the dimerized ladders do not order into the phase where the quantum criticality occurs.

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