EXACT RESULTS FOR HAMILTONIAN-WALKS FROM THE SOLUTION OF THE FULLY PACKED LOOP MODEL ON THE HONEYCOMB LATTICE

被引:46
作者
BATCHELOR, MT [1 ]
SUZUKI, J [1 ]
YUNG, CM [1 ]
机构
[1] UNIV TOKYO,COLL ARTS & SCI,INST PHYS,MEGURO KU,TOKYO 153,JAPAN
关键词
D O I
10.1103/PhysRevLett.73.2646
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We derive the nested Bethe ansatz solution of the fully packed O(n) loop model on the honeycomb lattice. From this solution we derive the bulk free energy per site along with the central charge and geometric scaling dimensions describing the critical behavior. In the n=0 limit we obtain the exact compact exponents γ=1 and ν=12 for Hamiltonian walks, along with the exact value κ2=334 for the connective constant (entropy). Although having sets of scaling dimensions in common, our results indicate that Hamiltonian walks on the honeycomb and Manhattan lattices lie in different universality classes. © 1994 The American Physical Society.
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页码:2646 / 2649
页数:4
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