Location of the Multicritical Point for the Ising Spin Glass on the Triangular and Hexagonal Lattices
arXiv:cond-mat/0601356 · doi:10.1143/JPSJ.75.034004
Abstract
A conjecture is given for the exact location of the multicritical point in the phase diagram of the +/- J Ising model on the triangular lattice. The result p_c=0.8358058 agrees well with a recent numerical estimate. From this value, it is possible to derive a comparable conjecture for the exact location of the multicritical point for the hexagonal lattice, p_c=0.9327041, again in excellent agreement with a numerical study. The method is a variant of duality transformation to relate the triangular lattice directly with its dual triangular lattice without recourse to the hexagonal lattice, in conjunction with the replica method.
arXiv comment9 pages, 1 figure; Minor corrections in notation
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- Duality in finite-dimensional spin glasses
- Replica Cluster Variational Method: the Replica Symmetric solution for the 2D random bond Ising model
- Duality analysis on random planar lattice
- Properties of the multicritical point of +/- J Ising spin glasses on the square lattice
- Multicritical Points of Potts Spin Glasses on the Triangular Lattice
- Excitations of the bimodal Ising spin glass on the brickwork lattice
- An extension of estimation of critical points in ground state for random spin systems
- Phases of Floquet code under local decoherence