Correlation density matrix: an unbiased analysis of exact diagonalizations

2008/08/30 by Siew-Ann Cheong, C. L. Henley · 1 citation
Physics and Astronomy · #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.79.212402

(4pp, 2 figures)

arxiv created 2008/08/30 · arxiv updated 2013/05/29

Abstract

Given the ground state wavefunction for an interacting lattice model, we define a "correlation density matrix"(CDM) for two disjoint, separated clusters A and B, to be the density matrix of their union, minus the direct product of their respective density matrices. The CDM can be decomposed systematically by a numerical singular value decomposition, to provide a systematic and unbiased way to identify the operator(s) dominating the correlations, even unexpected ones.

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