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

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.

5 pages, 3 figures

References in corpus (4)

• Study of the de Almeida-Thouless line using power-law diluted one-dimensional Ising spin glasses
• Thermodynamic glass transition in a spin glass without time-reversal symmetry
• Spin glasses in a field: Three and four dimensions as seen from one space dimension
• The three dimensional Ising spin glass in an external magnetic field: the role of the silent majority

Cited by in corpus (8)

• Absence of Marginal Stability in a Structural Glass
• The Gardner transition in finite dimensions
• Low-temperature anomalies of a vapor deposited glass
• Hierarchical spin glasses in a magnetic field: A renormalization-group study
• Critical Point Scaling of Ising Spin Glasses in a Magnetic Field
• The Ising spin glass on random graphs at zero temperature: not all spins are glassy in the glassy phase
• Why replica symmetry breaking does not occur below six dimensions in Ising spin glasses
• Replica Symmetry Broken States of some Glass Models