Multicritical Points of Potts Spin Glasses on the Triangular Lattice

Details Multicritical Points of Potts Spin Glasses on the Triangular Lattice Multicritical Points of Potts Spin Glasses on the Triangular Lattice

2007-06-14

arxiv.org/abs/0706.2052v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

18 pages, 2, figures

Scientific paper

10.1143/JPSJ.76.114003

We predict the locations of several multicritical points of the Potts spin glass model on the triangular lattice. In particular, continuous multicritical lines, which consist of multicritical points, are obtained for two types of two-state Potts (i.e., Ising) spin glasses with two- and three-body interactions on the triangular lattice. These results provide us with numerous examples to further verify the validity of the conjecture, which has succeeded in deriving highly precise locations of multicritical points for several spin glass models. The technique, called the direct triangular duality, a variant of the ordinary duality transformation, directly relates the triangular lattice with its dual triangular lattice in conjunction with the replica method.

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