A General Method for Obtaining a Lower Bound for the Ground State Entropy Density of the Ising Model With Short Range Interactions

2001/04/14 by Lawrence Pack, Pack, Lawrence, Ram Anand Puri +1
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Opinion Dynamics and Social Influence #Quantum many-body systems #Theoretical and Computational Physics #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0104020

12 pages, 4 figures

arxiv created 2001/04/14 · openalex publication_date 2001/04/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a general method for obtaining a lower bound for the ground state entropy density of the Ising Model with nearest neighbor interactions. Then, using this method, and with a random coupling constant configuration, we obtain a lower bound for the ground state entropy density of the square, triangular, and hexagonal two-dimensional lattices with free, cylindrical, and toroidal boundary conditions.

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