One-Dimensional Disordered Supersymmetric Quantum Mechanics: A Brief Survey

Details One-Dimensional Disordered Supersymmetric Quantum Mechanics: A Brief Survey One-Dimensional Disordered Supersymmetric Quantum Mechanics: A Brief Survey

1997-07-30

arxiv.org/abs/cond-mat/9707313v2

in "Supersymmetry and Integrable Models", Aratyn et al. (eds), Springer, (1998), p. 313

Physics

Condensed Matter

16 pages, LaTeX, contribution to the proceedings of the workshop "Supersymmetry and Integrable Models", version 2: prefactor o

Scientific paper

10.1007/BFb0105327

We consider a one-dimensional model of localization based on the Witten Hamiltonian of supersymmetric quantum mechanics. The low energy spectral properties are reviewed and compared with those of other models with off-diagonal disorder. Using recent results on exponential functionals of a Brownian motion we discuss the statistical properties of the ground state wave function and their multifractal behaviour.

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