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Scaling Theory of Antiferromagnetic Heisenberg Ladder Models

Naomichi Hatano·Yoshihiro Nishiyama
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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 $ΔE\sim{J_\perp}$, 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 ${J_\perp}>0$.

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Naomichi Hatano, Yoshihiro Nishiyama. 1995-06-12. Scaling Theory of Antiferromagnetic Heisenberg Ladder Models. https://doi.org/10.1088/0305-4470%2F28%2F14%2F012

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