CRITICAL FREE-ENERGY OF A MOBIUS STRIP

被引:16
作者
BRANKOV, JG
PRIEZZHEV, VB
机构
[1] Laboratory of Theoretical Physics, Joint Institute for Nuclear Research
关键词
D O I
10.1016/0550-3213(93)90419-P
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
Explicit expressions for the free energy of the dimer model on finite quadratic and honeycomb lattices embedded in a Mobius strip are obtained. They allow us to establish the existence of a simple relationship between the partition functions on a Mobius strip and on a cylinder. The properties of the finite size correction term D at critically, whose universality is predicted by conformal theories, are studied in the limit of an infinitely large system with a fixed width-to-length ratio lambda. As expected, in the limit of an infinitely narrow Mobius strip (lambda --> infinity) the D-term tends to the value for a strip with free edges. In the opposite limit of an infinitely wide Mobius strip the term D is found again to tend to the value for a strip with free edges. The free energy of twisting G is defined as the difference between the free energies for a cylinder and for the corresponding Mobius strip. The behavior of G as a function of lambda is studied too.
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页码:633 / 652
页数:20
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