Journal
PHYSICAL REVIEW B
Volume 82, Issue 17, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.82.174411
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Funding
- ARO [W911NF-07-1-0464]
- NSF under MRSEC [DMR-0819860]
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [819860] Funding Source: National Science Foundation
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We use exact diagonalization to explore the many-body localization transition in a random-field spin-1/2 chain. We examine the correlations within each many-body eigenstate, looking at all high-energy states and thus effectively working at infinite temperature. For weak random field the eigenstates are thermal, as expected in this nonlocalized, ergodic phase. For strong random field the eigenstates are localized with only short-range entanglement. We roughly locate the localization transition and examine some of its finite-size scaling, finding that this quantum phase transition at nonzero temperature might be showing infinite-randomness scaling with a dynamic critical exponent z ->infinity.
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