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Many-body density matrices for free fermions

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Many-body density matrices for free fermions

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dc.contributor.author Cheong, Siew Ann
dc.contributor.author Henley, Christopher L.
dc.date.accessioned 2009-05-06T04:41:04Z
dc.date.available 2009-05-06T04:41:04Z
dc.date.copyright 2004
dc.date.issued 2009-05-06T04:41:04Z
dc.identifier.citation Cheong, S. A., & Henley, C. L. (2004). Many-body density matrices for free fermions. Physical Review B, 69(7), 1-12.
dc.identifier.issn 0163-1829
dc.identifier.uri http://hdl.handle.net/10220/4593
dc.description.abstract Building upon an analytical technique introduced by Chung and Peschel [Phys. Rev. B 64, 064412 (2001)], we calculated the many-body density matrix ρB of a finite block of B sites within an infinite system of free spinless fermions in arbitrary dimensions. In terms of the block Green function matrix G (whose elements are Gīj=〈ci†cj〉, where ci† and cj are fermion creation and annihilation operators acting on sites i and j within the block, respectively), the density matrix can be written as ρB=det(1-G)exp(∑ij[ln G(1-G)-1]ijci†cj). Our results suggest that Hilbert space truncation schemes should retain the states created by a subset of the ci†’s (in any combination), rather than selecting eigenvectors of ρB independently based on the eigenvalue.
dc.format.extent 12 p.
dc.language.iso en
dc.relation.ispartofseries Physical review B
dc.rights Physical Review B. © 2004 The American Physical Society. The journal's website is located at http://prola.aps.org.ezlibproxy1.ntu.edu.sg/browse/PRB
dc.subject DRNTU::Science::Physics::Atomic physics::Solid state physics
dc.title Many-body density matrices for free fermions
dc.type Journal Article
dc.identifier.doi http://dx.doi.org/10.1103/PhysRevB.69.075111
dc.description.version Published version

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