Journal article

Simple probability distributions on a Fock-space lattice

Abstract:: We consider some aspects of a standard model employed in studies of many-body localization: interacting spinless fermions with quenched disorder, for non-zero flling fraction, here on d-dimensional hypercubic lattices. The model may be recast as an equivalent tight-binding model on a `Fock-space (FS) lattice' with an extensive local connectivity. In the thermodynamic limit exact results are obtained for the distributions of local FS coordination numbers, FS site-energies, and the density of many-body states. All such distributions are well captured by exact diagonalisation on the modest system sizes amenable to numerics. Care is however required in choosing the appropriate variance for the eigenvalue distribution, which has implications for reliable identification of mobility edges.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Welsh, S., & Logan, D. (2018). Simple probability distributions on a Fock-space lattice. Journal of Physics: Condensed Matter, 30(40), 405601.

MLA Style

Welsh, S, and D Logan. “Simple Probability Distributions on a Fock-Space Lattice.” Journal of Physics: Condensed Matter, vol. 30, no. 40, 2018, p. 405601.

Chicago Style

Welsh, S, and D Logan. 2018. “Simple Probability Distributions on a Fock-Space Lattice.” Journal of Physics: Condensed Matter 30 (40): 405601.
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Files:: Simple probability distributions on a Fock-space lattice.pdf

(Preview, Version of record, pdf, 1.2MB, Terms of use)

Publisher copy:: 10.1088/1361-648x/aadd35

Authors

+ Welsh, S More by this author

Institution:: University of Oxford
Division:: MPLS Division
Department:: Chemistry
Sub department:: Physical & Theoretical Chem
Oxford college:: University College
Role:: Author

+ Logan, D More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Chemistry
Sub department:: Physical & Theoretical Chem
Oxford college:: University College
Role:: Author
ORCID:: 0000-0001-5664-9835

+ Engineering and Physical Sciences Research Council More from this funder

Grant:: EP/N01930X/1

Publisher:: IOP Publishing
Journal:: Journal of Physics: Condensed Matter More from this journal
Volume:: 30
Issue:: 40
Pages:: 405601
Publication date:: 2018-09-13
Acceptance date:: 2018-08-28
DOI:: 10.1088/1361-648x/aadd35
EISSN:: 1361-648X
ISSN:: 0953-8984
Pmid:: 30152789

Language:: English
Keywords:: many-body localization

Eigenvalue distributions

Fock-space lattice
Pubs id:: pubs:913988
UUID:: uuid:6f7e8d28-2800-4297-ab3b-5df24513b8be
Local pid:: pubs:913988
Source identifiers:: 913988
Deposit date:: 2018-09-17
ARK identifier:: ark:/29072/ora_6f7e8d2828004297ab3b5df24513b8be

Terms of use

Copyright holder:: IOP Publishing Ltd
Copyright date:: 2018
Notes:: © 2018 IOP Publishing Ltd. Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

Licence:: CC Attribution (CC BY)

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