Spin glass in a field: a new zero-temperature fixed point in finite dimensions

Physical Review Letters
Maria Chiara Angelini, Giulio Biroli

Abstract

By using real-space renormalization group (RG) methods, we show that spin glasses in a field display a new kind of transition in high dimensions. The corresponding critical properties and the spin-glass phase are governed by two nonperturbative zero-temperature fixed points of the RG flow. We compute the critical exponents and discuss the RG flow and its relevance for three-dimensional systems. The new spin-glass phase we discovered has unusual properties, which are intermediate between the ones conjectured by droplet and full replica symmetry-breaking theories. These results provide a new perspective on the long-standing debate about the behavior of spin glasses in a field.

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Citations

Feb 23, 2017·Proceedings of the National Academy of Sciences of the United States of America·Maria Chiara Angelini, Giulio Biroli
Dec 9, 2017·Physical Review Letters·Camille ScallietFrancesco Zamponi
Jul 6, 2019·The Journal of Chemical Physics·Ludovic BerthierFrancesco Zamponi
May 20, 2018·Physical Review. E·Wenlong WangHelmut G Katzgraber
Jun 10, 2017·Physical Review Letters·Patrick Charbonneau, Sho Yaida
Apr 15, 2016·Physical Review. E·T AspelmeierJoonhyun Yeo
May 1, 2017·Journal of Statistical Physics·Serena Bradde, William Bialek
Jan 21, 2021·Physical Review. E·Ivan BalogMatthieu Tissier

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