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Long-range spin glass in a field at zero temperature

Maria Chiara Angelini1,2, Saverio Palazzi1,3,*, Giorgio Parisi4,1,2,5, and Tommaso Rizzo6,1,2

  • *Contact author: saverio.palazzi.1997@gmail.com
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Phys. Rev. B 114, 014410 – Published 7 July, 2026

DOI: https://doi.org/10.1103/kfpr-xh2l

Abstract

We compute the critical exponents of the zero-temperature spin glass transition in a field on a one-dimensional long-range model, a proxy for higher-dimensional systems. Our approach is based on a novel loop expansion within the Bethe M-layer formalism, whose adaptation to this specific case is detailed here. The resulting estimates provide crucial benchmarks for numerical simulations that can access larger system sizes in one dimension, thus offering a key test of the theory of spin glasses in a field.

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Phys. Rev. B 114, 014410– Published 7 July, 2026
  • Received 10 March 2026
  • Revised 6 June 2026
  • Accepted 10 June 2026
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