Random Fields and Spin Glasses: A Field Theory Approach

C. de Dominicis and I. Giardina: Random fields and spin glasses: a field theory approach
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This page intentionally left blank. These properties dramatically affect the thermodynamic behaviour and require specific theoretical treatment.

In this book the authors deal with the theory of magnetic systems in the presence of frozen disorder, and in particular paradigmatic and well known spin models such as the Random Field Ising Model and the Ising Spin Glass. They describe some of the most successful approaches to the physics of disordered systems, such as the replica method and Langevin dynamics, together with lesser known results in finite dimension.

This is a unified presentation using a field theory language which covers mean field theory, dynamics and perturbation expansion within the same theoretical framework.

Replica theory of quantum spin glasses - IOPscience

Particular emphasis is given to the connections between different approaches such as statics vs. The book introduces some useful and little known techniques in statistical mechanics and field theory including multiple Legendre transforms, supersymmetry, Fourier transforms on a tree, infinitesimal permutations and Ward Takahashi Identities.

This book will be of great interest to graduate students and researchers in statis- tical physics and basic field theory. De Dominicis and I. Refresh your browser page to run scripts and reload content.

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Prices and offers may vary in store. Disordered magnetic systems enjoy non-trivial properties which are different and richer than those observed in their pure, non-disordered counterparts. These properties dramatically affect the thermodynamic behaviour and require specific theoretical treatment. This book deals with the theory of magnetic systems in the presence of frozen disorder, in particular paradigmatic and well-known spin models such as the Random Field Ising Model and the Ising Spin Glass.

Zero-temperature quantum annealing bottlenecks in the spin-glass phase

This is a unified presentation using a field theory language which covers mean field theory, dynamics and perturbation expansion within the same theoretical framework. Particular emphasis is given to the connections between different approaches such as statics vs. The book introduces some useful and little-known techniques in statistical mechanics and field theory. This book will be of great interest to graduate students and researchers in statistical physics and basic field theory.

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Full text: PDF kB. Section 4 summarizes this paper. These properties dramatically affect the thermodynamic behaviour and require specific theoretical treatment. The system is in a symmetric superposition of the degenerate global minima at the end of QA. The distribution of random fields is arbitrary as long as it satisfies a mild condition to be specified later. A long-range interacting system in random fields is introduced in Sect.

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