Density and spacings for the energy levels of quadratic Fermi operators

Fabio Cunden, Francesco Mezzadri, Anna Maltsev

Research output: Contribution to journalArticle (Academic Journal)peer-review

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Abstract

The work presents a proof of convergence of the density of energy levels to a Gaussian distribution for a wide class of quadratic forms of Fermi operators. This general result applies also to quadratic operators with disorder, e.g., containing random coefficients. The spacing distribution of the unfolded spectrum is investigated numerically. For generic systems, the level spacings behave as the spacings in a Poisson process. Level clustering persists in the presence of disorder.
Original languageEnglish
Article number061902
Number of pages15
JournalJournal of Mathematical Physics
Volume58
Issue number6
Early online date1 Jun 2017
DOIs
Publication statusPublished - Jun 2017

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