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Published October 6, 2017 | Published
Journal Article Open

Non-Fermi Glasses: Localized Descendants of Fractionalized Metals

Abstract

Non-Fermi liquids are metals that cannot be adiabatically deformed into free fermion states. We argue for the existence of "non-Fermi glasses," phases of interacting disordered fermions that are fully many-body localized (MBL), yet cannot be deformed into an Anderson insulator without an eigenstate phase transition. We explore the properties of such non-Fermi glasses, focusing on a specific solvable example. At high temperature, non-Fermi glasses have qualitatively similar spectral features to Anderson insulators. We identify a diagnostic based on ratios of correlators that sharply distinguishes between the two phases even at infinite temperature. Our results and diagnostic should generically apply to the high-temperature behavior of MBL descendants of fractionalized phases.

Additional Information

© 2017 American Physical Society. Received 15 November 2016; revised manuscript received 23 May 2017; published 4 October 2017. We thank R. Nandkishore, M. Serbyn, S. L. Sondhi, and R. Vasseur for helpful discussions, and E. Altman, J. T. Chalker, and A. C. Potter for discussions and for comments on the manuscript. We acknowledge the hospitality of Trinity College, Cambridge, where part of this work was completed. S. A. P. acknowledges support from NSF Grant No. DMR-1455366 and a UC President's Research Catalyst Award CA-15-327861, and S. G. from the Burke Institute at Caltech.

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Published - PhysRevLett.119.146601.pdf

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August 19, 2023
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October 17, 2023