Critical Spectral Statistics at the Metal-Insulator Transition in Interacting Fermionic Systems

Details Critical Spectral Statistics at the Metal-Insulator Transition in Interacting Fermionic Systems Critical Spectral Statistics at the Metal-Insulator Transition in Interacting Fermionic Systems

1998-02-20

arxiv.org/abs/cond-mat/9802226v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Revtex, 4 pages, 3 encapsulated postscript figures appended Final version as accepted for publication in PRL

Scientific paper

10.1103/PhysRevLett.81.1913

The spectral properties of a disordered system with few interacting three-dimensional spinless fermions are investigated. We show the existence of a critical spacings distribution which is invariant upon increase of the system size, but strongly depends on the number of particles. At the critical point, we report a substantial decrease of the degree of level repulsion as the number of particles increases indicating a decrease of nearest level correlations associated with the sparsity of the Hamiltonian matrix.

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