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Bulletin of the American Physical Society

Ergodicity-breaking eigenstates in quantum spin glasses

Christopher L. Baldwin, Chris R. Laumann, Arijeet Pal, Antonello Scardicchio

Published Mar 15, 2017• 0 citations
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In this Letter we address the nature of broken ergodicity in the low temperature phase of Ising spin glasses by examining spectral properties of spin correlation functions C(ij) identical with<S(i)S(j)>. We argue that more than one extensive [i.e., O(N)] eigenvalue in this matrix signals replica symmetry breaking. Monte Carlo simulations of the infinite-range Ising spin-glass model, above and below the Almeida-Thouless line, support this conclusion. Exchange Monte Carlo simulations for the short-range model in four dimensions find a single extensive eigenvalue and a large subdominant eigenvalue consistent with droplet model expectations.