An extension of estimation of critical points in ground state for random spin systems
arXiv:1711.03271 · doi:10.7566/JPSJ.87.015001
Abstract
Most of the analytical studies on spin glasses are performed by using mean-field theory and renormalization group analysis. Analytical studies on finite-dimensional spin glasses are very challenging. In this short note, a possible exten- sion of the approaches on the phase transition in spin glasses is demonstrated. To validate our extension, we compared our estimates on the critical points with the existing numerical results.
arXiv comment2 pages, 2 figures
References in corpus (16)
- Strong Resilience of Topological Codes to Depolarization
- Error Correction and Degeneracy in Surface Codes Suffering Loss
- Duality and Multicritical Point of Two-Dimensional Spin Glasses
- Locations of multicritical points for spin glasses on regular lattices
- Multicritical points for the spin glass models on hierarchical lattices
- Symmetry, complexity and multicritical point of the two-dimensional spin glass
- Accuracy thresholds of topological color codes on the hexagonal and square-octagonal lattices
- Analytical evidence for the absence of spin glass transition on self-dual lattices
- Error threshold estimates for surface code with loss of qubits
- Location of the Multicritical Point for the Ising Spin Glass on the Triangular and Hexagonal Lattices
- Duality analysis on random planar lattice
- High-precision phase diagram of spin glasses from duality analysis with real-space renormalization and graph polynomials
- Universality in phase boundary slopes for spin glasses on self dual lattices
- Duality with real-space renormalization and its application to bond percolation
- Multicritical point of spin glasses
- Frustration in vicinity of transition point of Ising spin glasses