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Kramers–Wannier Duality and Random-Bond Ising Model
Department of Physics, University of Miami, Coral Gables, FL 33146, USA
Entropy 2024, 26(8), 636; https://doi.org/10.3390/e26080636 (registering DOI)
Submission received: 9 July 2024
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Revised: 25 July 2024
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Accepted: 26 July 2024
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Published: 27 July 2024
(This article belongs to the Special Issue A Journey Through Complex Landscapes—Dedicated to Professor Giorgio Parisi to Celebrate the Nobel Prize & His 75th Birthday)
Abstract
We present a new combinatorial approach to the Ising model incorporating arbitrary bond weights on planar graphs. In contrast to existing methodologies, the exact free energy is expressed as the determinant of a set of ordered and disordered operators defined on a planar graph and the corresponding dual graph, respectively, thereby explicitly demonstrating the Kramers–Wannier duality. The implications of our derived formula for the Random-Bond Ising Model are further elucidated.
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MDPI and ACS Style
Song, C. Kramers–Wannier Duality and Random-Bond Ising Model. Entropy 2024, 26, 636. https://doi.org/10.3390/e26080636
AMA Style
Song C. Kramers–Wannier Duality and Random-Bond Ising Model. Entropy. 2024; 26(8):636. https://doi.org/10.3390/e26080636
Chicago/Turabian StyleSong, Chaoming. 2024. "Kramers–Wannier Duality and Random-Bond Ising Model" Entropy 26, no. 8: 636. https://doi.org/10.3390/e26080636
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