Internal Energy, Specific Heat and Correlation Function of the Bond-Random Ising Model

1981/10/01 by Hidetoshi Nishimori, H. Nishimori · 17 citations
Physics and Astronomy · #Complex Network Analysis Techniques #Opinion Dynamics and Social Influence #Theoretical and Computational Physics

paper · pdf · doi:10.1143/ptp.66.1169

crossref issued 1981/10/01 · crossref published 1981/10/01 · crossref published-print 1981/10/01 · openalex publication_date 1981/10/01 · crossref created 2005/12/14 · crossref deposited 2017/08/24 · openalex created_date 2025/10/10 · crossref indexed 2026/07/30 · openalex updated_date 2026/07/30

Abstract

Gauge transformations of the random Ising model are shown to be useful in obtaining rigorous results on thermodynamic quantities. In a restricted region of the phase diagram, we obtain the exact value of the internal energy, rigorous upper bound to the specific heat and a few rigorous relations concerning the correlation functions. In particular it is pointed out that the phase boundary between the paramagnetic and ferromagnetic phases has a singular shape if the spin glass phase does not exist.

Cited by

• Fast and Accurate Decoder for the XZZX Code Using Simulated Annealing
• The stability of long-range order in disordered systems: A generalized Ding-Zhuang argument
• Temperature chaos as a logical consequence of the reentrant transition in spin glasses
• Finding Some Impossibility of Flat-Folding of Given Origami Crease Pattern by Graphical Representation
• Magnetization-resolved density of states and quasi-first order transition in the two-dimensional random bond Ising model: an entropic sampling study
• Flow to Nishimori universality in weakly monitored quantum circuits with qubit loss
• Confinement as Decoding: Higher Form Codes and Lattice Yang-Mills Theory
• A universal emulator for planar Ising lattices
• Non-perturbative constraints on stability and renormalization group flows in nonequilibrium matter
• Strong-Disorder Paramagnetic-Ferromagnetic Fixed Point in the Square-Lattice ±J Ising Model
• Exact location of the multicritical point for finite-dimensional spin glasses: a conjecture
• Critical behavior of three-dimensional Ising spin glass models
• Symmetry, complexity and multicritical point of the two-dimensional spin glass
• Ferromagnetic–spin-glass transition in a four-dimensional random-bond Ising model
• Numerical study of spin quantum Hall transitions in superconductors with broken time-reversal symmetry
• Universality Class of the Nishimori Point in the 2D±JRandom-Bond Ising Model
• Multispin Ising spin glasses with ferromagnetic interactions