Scaling Theory of Antiferromagnetic Heisenberg Ladder Models

Abstract

The $S=1/2$ antiferromagnetic Heisenberg model on multi-leg ladders is investigated. Criticality of the ground-state transition is explored by means of finite-size scaling. The ladders with an even number of legs and those with an odd number of legs are distinguished clearly. In the former, the energy gap opens up as $\Delta E\sim J_{\perp }$, where $J_{\perp }$ is the strength of the antiferromagnetic inter-chain coupling. In the latter, the critical phase with the central charge $c=1$ extends over the whole region of $J_{\perp }>0$.

12 pages with 9 Postscript figures. To appear in J. Phys. A: Math. Gen

References in corpus (1)

• Resonating Valence Bond Theory of Coupled Heisenberg Chains

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