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

Kazutaka Takahashi; Tomoyuki Obuchi

doi:10.1088/1742-6596/473/1/012023

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arXiv · 1309.0076

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

Kazutaka Takahashi·Tomoyuki Obuchi

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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.

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BibTeX RIS

Kazutaka Takahashi, Tomoyuki Obuchi. 2013-08-31. Zeros of the partition function and dynamical singularities in spin-glass systems. https://doi.org/10.1088/1742-6596/473/1/012023

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