Scaling Theory of Antiferromagnetic Heisenberg Ladder Models

Details Scaling Theory of Antiferromagnetic Heisenberg Ladder Models Scaling Theory of Antiferromagnetic Heisenberg Ladder Models

1995-06-12

arxiv.org/abs/cond-mat/9506052v1

J. Phys. A: Math. Gen. 28 (1995) 3911-3923

Physics

Condensed Matter

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

Scientific paper

10.1088/0305-4470/28/14/012

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 ${J_\perp}>0$.

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