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.

Spin glass in a field: A new zero-temperature fixed point in finite dimensions / Angelini, Maria Chiara; Biroli, Giulio. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 114:9(2015), p. 095701. [10.1103/PhysRevLett.114.095701]

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

ANGELINI, Maria Chiara
Primo
;
2015

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.
2015
Physics - Disordered Systems and Neural Networks; Physics - Disordered Systems and Neural Networks; Physics - Statistical Mechanics; Physics and Astronomy (all)
01 Pubblicazione su rivista::01a Articolo in rivista
Spin glass in a field: A new zero-temperature fixed point in finite dimensions / Angelini, Maria Chiara; Biroli, Giulio. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 114:9(2015), p. 095701. [10.1103/PhysRevLett.114.095701]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/868546
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