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

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

2003-06-06

arxiv.org/abs/cond-mat/0306154v2

J. Phys. A 36 (2003) 9799

Physics

Condensed Matter

Statistical Mechanics

32 pages, 6 figures; a few typos corrected. To be published in J. Phys. A

Scientific paper

10.1088/0305-4470/36/38/301

We analyze 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 many remarkable symmetry properties as functions of the edge Boltzmann factors. It is shown that the applications of homogeneous and Hadamard inverses to the edge Boltzmann matrix indicate reduced complexities when the elements of the matrix satisfy certain conditions, suggesting that the system has special simplicities under such conditions. Using these duality and symmetry arguments we present a conjecture on the exact location of the multicritical point in the phase diagram.

Affiliated with

Also associated with

No associations

Rating

Symmetry, complexity and multicritical point of the two-dimensional spin glass does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Symmetry, complexity and multicritical point of the two-dimensional spin glass, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetry, complexity and multicritical point of the two-dimensional spin glass will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-434423