Anomalous suppression of large-scale density fluctuations in classical and quantum spin liquids

Duyu Chen,R. Samajdar,Yang Jiao,S. Torquato

Published 2025 in Proceedings of the National Academy of Sciences of the United States of America

ABSTRACT

Significance Disordered hyperuniform systems are recently discovered exotic states of matter that lie between a perfect crystal and liquid. While the hyperuniformity of classical systems has been extensively investigated, its potential extension to quantum systems has been much less explored. In this work, we present an example of the emergence of disordered hyperuniformity in strongly correlated, long-range entangled quantum systems, which will inspire the search for disordered hyperuniformity in other exotic quantum systems. Moreover, using metrics based on the framework of hyperuniformity, we are able to distinguish quantum spin liquids from other ordered and disordered quantum phases, thus shedding light on the experimental identification of potential candidates for quantum spin liquids using single-site measurements.

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