Multicritical point relations in three dual pairs of hierarchical-lattice Ising spin glasses

@article{Hinczewski2005MulticriticalPR,
title={Multicritical point relations in three dual pairs of hierarchical-lattice Ising spin glasses},
author={Michael Hinczewski and A. Nihat Berker},
journal={Physical Review B},
year={2005},
volume={72},
pages={144402}
}
• Published 13 July 2005
• Physics
• Physical Review B
The Ising spin glasses are investigated on three dual pairs of hierarchical lattices, using exact renormalization-group transformation of the quenched bond probability distribution. The goal is to investigate a recent conjecture that relates, on such pairs of dual lattices, the locations of the multicritical points, which occur on the Nishimori symmetry line. Toward this end we precisely determine the global phase diagrams for these six hierarchical spin glasses, using up to $2.5\ifmmode\times… 17 Citations Figures and Tables from this paper Location and properties of the multicritical point in the Gaussian and ±J Ising spin glasses We use transfer-matrix and finite-size scaling methods to investigate the location and properties of the multicritical point of two-dimensional Ising spin glasses on square, triangular, and honeycomb Locations of multicritical points for spin glasses on regular lattices. • Masayuki Ohzeki • Mathematics Physical review. 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Critical Study of Hierarchical Lattice Renormalization Group in Magnetic Ordered and Quenched Disordered Systems: Ising and Blume–Emery–Griffiths Models • Physics • 2014 Renormalization group based on the Migdal–Kadanoff bond removal approach is often considered a simple and valuable tool to understand the critical behavior of complicated statistical mechanical References SHOWING 1-10 OF 52 REFERENCES 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. 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