Many-Body Density Matrices for Free Fermions
| dc.creator | Cheong, Siew-Ann | |
| dc.creator | Henley, Christopher L. | |
| dc.date | 2002-06-12 | |
| dc.date | 2003-11-20 | |
| dc.date.accessioned | 2026-07-07T02:45:49Z | |
| dc.date.available | 2026-07-07T02:45:49Z | |
| dc.description | Building upon an analytical technique introduced by Chung and Peschel [M. Chung and I. Peschel, Phys. Rev. B 64, art. 064412 (2001)], we calculated the density matrix rho_B of a finite block of B sites within an infinite system of free spinless fermions. In terms of the block Green function matrix G (whose elements are G_ij = < c_i^+ c_j>, where c_i^+ and c_j are fermion creation and annihilation operators acting on sites i and j within the block respectively), the density matrix can be written as rho_B = det(1 - G) exp[ sum_ij (log G(1 - G^{-1})_ij c_i^+ c_j]. Implications of such a result to Hilbert space truncation for real-space renormalization schemes is discussed. | |
| dc.description | 12 pages in RevTeX4 format. Uses amsmath, bbold, dcolumn and mathrsfs packages | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0206196 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0206196 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/19441 | |
| dc.subject | Condensed Matter | |
| dc.title | Many-Body Density Matrices for Free Fermions | |
| dc.type | text |