A modified Bethe Ansatz for the two-dimensional dimer problem
Keyword(s):
The two-dimensional dimer problem is studied using the tools of modern solvable models. The transfer matrix is constructed from local monodromy matrices, and is diagonalized by a modified Bethe Ansatz that does not begin with a Bethe ground state, but rather with a pair of states transformed one into the other by the transfer matrix. The resulting Bethe eigenvectors have a structure very different from those constructed in other models from a ground state, and have some properties in common with the free-fermion eigenvectors of the squared transfer matrix encountered in the literature. PACS Nos.: 05.50+q, 02.10.Ox, 02.30.Ik, 05.20.–y
2005 ◽
Vol 02
(06)
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pp. 1063-1080
1989 ◽
Vol 423
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pp. 279-300
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1990 ◽
Vol 48
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pp. 258-259
2020 ◽
Vol 20
(11)
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pp. 1340-1351
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