Zeros of the partition function and dynamical singularities in spin-glass systems

Abstract

We study spin-glass systems characterized by continuous occurrence of singularities. The theory of Lee-Yang zeros is used to find the singularities. By using the replica method in mean-field systems, we show that two-dimensional distributions of zeros of the partition function in a complex parameter plane are characteristic feature of random systems. The results of several models indicate that the concept of chaos in the spin-glass state is different from that of the replica symmetry breaking. We discuss that a chaotic phase at imaginary temperature is different from the spin-glass phase and is accessible by quantum dynamics in a quenching protocol.

11 pages, 6 figures, proceedings of the ICSG2013

References in corpus (3)

• Dynamical Singularities of Glassy Systems in a Quantum Quench
• Partition-function zeros of spherical spin glasses and their relevance to chaos
• Replica analysis of partition-function zeros in spin-glass models

Cited by in corpus (6)

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• Topological classification of dynamical phase transitions
• Disordered Kitaev chain with long-range pairing: Loschmidt echo revivals and dynamical phase transitions
• Complex semiclassical analysis of the Loschmidt amplitude and dynamical quantum phase transitions
• Dynamical quantum phase transitions in Stark quantum spin chains
• Analytic continuation over complex landscapes