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Many-body localization edge in the random-field Heisenberg chain

Physical Review B · 2015 · Vol. 91(8)
David J. LuitzNicolas LaflorencieFabien Alet

Abstract

The authors study the phenomena of many-body localization in a random field Heisenberg chain. In this paper the authors use a shift-inverse exact diagonalization approach that allows them to study the mid-spectrum spectral properties of the model for system sizes of up to N=22. This has allow the authors to identify the many-body localization edge.

Quantum many-body systemsOpinion Dynamics and Social InfluenceQuantum Information and CryptographyChain (unit)Enhanced Data Rates for GSM EvolutionPhysicsField (mathematics)Condensed matter physicsQuantum mechanicsComputer scienceMathematicsArtificial intelligence

Funding

  • Agence Nationale de la Recherche
Citations
1,023
FWCI
64.80
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References
56
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100%
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References
Many-body localization phase transition
Physical Review B · 2010 · 1,482 citations
Chaos and quantum thermalization
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1994 · 3,103 citations
Localization of interacting fermions at high temperature
Physical Review B · 2007 · 1,790 citations
Quantum statistical mechanics in a closed system
Physical Review A · 1991 · 2,800 citations
Absence of Diffusion in Certain Random Lattices
Physical Review · 1958 · 12,075 citations
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