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Publication - Professor Francesco Mezzadri

    Density and spacings for the energy levels of quadratic Fermi operators

    Citation

    Cunden, F, Mezzadri, F & Maltsev, A, 2017, ‘Density and spacings for the energy levels of quadratic Fermi operators’. Journal of Mathematical Physics, vol 58.

    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.

    Full details in the University publications repository