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|Title:||Many-body density matrices for free fermions||Authors:||Henley, Christopher L.
Cheong, Siew Ann
|Keywords:||DRNTU::Science::Physics::Atomic physics::Solid state physics||Issue Date:||2004||Source:||Cheong, S. A., & Henley, C. L. (2004). Many-body density matrices for free fermions. Physical Review B, 69(7), 1-12.||Series/Report no.:||Physical review B||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.||URI:||https://hdl.handle.net/10356/90932
|ISSN:||0163-1829||DOI:||http://dx.doi.org/10.1103/PhysRevB.69.075111||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||Fulltext Permission:||open||Fulltext Availability:||With Fulltext|
|Appears in Collections:||SPMS Journal Articles|
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