Azbel-Hofstadter model on the triangular lattice revisited
نویسندگان
چکیده
منابع مشابه
Dimer model on a triangular lattice.
We analyze the partition function of the dimer model on an M×N triangular lattice wrapped on a torus obtained by Fendley, Moessner, and Sondhi [Phys. Rev. B 66, 214513 (2002)]. From a finite-size analysis we have found that the dimer model on such a lattice can be described by a conformal field theory having a central charge c=-2. The shift exponent for the specific heat is found to depend on t...
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Kuang Shing Chen,1,* Zi Yang Meng,1,2,† Unjong Yu,3 Shuxiang Yang,1,2 Mark Jarrell,1,2 and Juana Moreno1,2 1Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803, USA 2Center for Computation and Technology, Louisiana State University, Baton Rouge, Louisiana 70803, USA 3GIST-College, Gwangju Institute of Science and Technology, Gwangju 500-712, Korea (Rece...
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We consider a classical interacting dimer model which interpolates between the square lattice case and the triangular lattice case by tuning a chemical potential in the diagonal bonds. The interaction energy simply corresponds to the number of plaquettes with parallel dimers. Using transfer matrix calculations, we find in the anisotropic triangular case a succession of different physical phases...
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Recently, a model consisting of triangular trimers covering the triangular lattice was introduced and its exact free energy given. In this paper we present the complete calculation leading to this exact result. The solution involves a coordinate Bethe ansatz with two kinds of particles. It is similar to that of the square-triangle random tiling model by Widom and Kalugin. The connection of the ...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2001
ISSN: 0163-1829,1095-3795
DOI: 10.1103/physrevb.64.081101