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arXiv · 1409.1011

Spin Glass in a Field: a New Zero-Temperature Fixed Point in Finite Dimensions

Maria Chiara Angelini·Giulio Biroli
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Abstract

By using real space renormalisation 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 non-perturbative zero temperature fixed points of the RG flow. We compute the critical exponents, 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 behaviour of spin-glasses in a field.

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Maria Chiara Angelini, Giulio Biroli. 2015-07-16. Spin Glass in a Field: a New Zero-Temperature Fixed Point in Finite Dimensions. https://doi.org/10.1103/physrevlett.114.095701

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