Critical level spacing distribution in long-range hopping Hamiltonians
Cuevas, E.
Original · EN
The nearest level spacing distribution Pc(s) of d-dimensional disordered models (d=1 and 2) with long-range random hopping amplitudes is investigated numerically at criticality. We focus on both the weak (bᵈ ≫ 1) and the strong (bᵈ ≪ 1) coupling regime, where the parameter b⁻ᵈ plays the role of the coupling constant of the model. It is found that Pc(s) has the asymptotic form Pc(s) [-Adsα] for s≫ 1, with the critical exponent α=2-ad/bᵈ in the weak coupling limit and α=1+cd bᵈ in the case of strong coupling.
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