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Partial yet definite emergence of the Kardar-Parisi-Zhang class in isotropic spin chains

Partial yet definite emergence of the Kardar-Parisi-Zhang class in isotropic spin chains

Integrable spin chains with a continuous non-Abelian symmetry, such as the one-dimensional isotropic Heisenberg model, show superdiffusive transport with little theoretical understanding. Although recent studies reported a surprising connection to the Kardar-Parisi-Zhang (KPZ) universality class in that case, this view was most recently questioned by discrepancies in full counting statistics. …