Density-matrix spectra of solvable fermionic systems

2001/03/31 by Ming-Chiang Chung, Ingo Peschel · 10 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #astro-ph #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.64.064412

published as Phys.Rev.B64:064412,2001 · 12 pages and 9 figures

arxiv created 2001/05/10 · openalex publication_date 2001/07/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider noninteracting fermions on a lattice and give a general result for the reduced density matrices corresponding to parts of the system. This allows to calculate their spectra, which are essential in the density-matrix renormalization group method, by diagonalizing small matrices. We discuss these spectra and their typical features for various fermionic quantum chains and for the two-dimensional tight-binding model.

Citations

• Two soluble models of an antiferromagnetic chain

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