Journal
PHYSICAL REVIEW LETTERS
Volume 119, Issue 7, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.119.075701
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Funding
- Charles E. Kaufman foundation
- SciDAC program of the U.S. Department of Energy, Office of Science, Basic Energy Sciences [DE-FG02-12ER46875]
- Institute of Quantum Information and Matter, an NSF Frontier center - Gordon and Betty Moore Foundation
- Packard foundation
- NSF DMR Grants [0955714, 1508538]
- National Science Foundation [PHY-1066293, NSF PHY11-25915, OCI-0725070, ACI-1238993]
- State of Illinois
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [1508538] Funding Source: National Science Foundation
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [0955714] Funding Source: National Science Foundation
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Many-body localization (MBL) is a phase of matter that is characterized by the absence of thermalization. Dynamical generation of a large number of local quantum numbers has been identified as one key characteristic of this phase, quite possibly the microscopic mechanism of breakdown of thermalization and the phase transition itself. We formulate a robust algorithm, based on Wegner-Wilson flow (WWF) renormalization, for computing these conserved quantities and their interactions. We present evidence for the existence of distinct fixed point distributions of the latter: a Gaussian white-noise-like distribution in the ergodic phase, a 1/f law inside the MBL phase, and scale-free distributions in the transition regime.
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