# Multicritical Points of Potts Spin Glasses on the Triangular Lattice(General)

@article{Ohzeki2007MulticriticalPO, title={Multicritical Points of Potts Spin Glasses on the Triangular Lattice(General)}, author={Masayuki Ohzeki}, journal={Journal of the Physical Society of Japan}, year={2007}, volume={76} }

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…

## 2 Citations

Locations of multicritical points for spin glasses on regular lattices.

- MathematicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2009

A systematic technique is proposed, by an improved technique, giving more precise locations of the multicritical points on the square, triangular, and hexagonal lattices by carefully examining the relationship between two partition functions related with each other by the duality.

Reentrant and forward phase diagrams of the anisotropic three-dimensional Ising spin glass.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2008

The spatially uniaxially anisotropic d=3 Ising spin glass is solved exactly on a hierarchical lattice and the boundary between the ferromagnetic and spin-glass phases can be either reentrant or forward, that is either receding from or penetrating into the spin- glass phase, as temperature is lowered.

## References

SHOWING 1-10 OF 29 REFERENCES

Location of the Multicritical Point for the Ising Spin Glass on the Triangular and Hexagonal Lattices

- Physics
- 2006

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…

Exact location of the multicritical point for finite-dimensional spin glasses: a conjecture

- Mathematics
- 2005

We present a conjecture on the exact location of the multicritical point in the phase diagram of spin glass models in finite dimensions. By generalizing our previous work, we combine duality and…

Symmetry, complexity and multicritical point of the two-dimensional spin glass

- Mathematics
- 2003

We analyse models of spin glasses on the two-dimensional square lattice by exploiting symmetry arguments. The replicated partition functions of the Ising and related spin glasses are shown to have…

Duality and Multicritical Point of Two-Dimensional Spin Glasses

- Materials Science
- 2001

Determination of the precise location of the multicritical point and phase boundary is a target of active current research in the theory of spin glasses. In this short note we develop a duality…

Theory of spin glasses

- Physics
- 1975

A new theory of the class of dilute magnetic alloys, called the spin glasses, is proposed which offers a simple explanation of the cusp found experimentally in the susceptibility. The argument is…

Exact transition temperature of the Potts model with q states per site for the triangular and honeycomb lattices

- Physics
- 1974

By the use of duality and star-triangle transformations together with a uniqueness assumption, the exact transition temperature of the Potts model with q states per site is obtained for the…

Topological quantum memory

- Physics
- 2002

We analyze surface codes, the topological quantum error-correcting codes introduced by Kitaev. In these codes, qubits are arranged in a two-dimensional array on a surface of nontrivial topology, and…

Statistical physics of spin glasses and information processing : an introduction

- Physics
- 2001

1. Mean-field theory of phase transitions 2. Mean-field theory of spin glasses 3. Replica symmetry breaking 4. Gauge theory of spin glasses 5. Error-correcting codes 6. Image restoration 7.…

Solvable Model of a Spin-Glass

- Physics
- 1975

We consider an Ising model in which the spins are coupled by infinite-ranged random interactions independently distributed with a Gaussian probability density. Both "spinglass" and ferromagnetic…

Duality transformation in a many‐component spin model

- Physics, Computer Science
- 1976

It is shown that the duality transformation relates a spin model to its dual whose Boltzmann factors are the eigenvalues of the matrix formed by the Boltzmann factors of the original spin model. The…