activity
19982026
most citedDiluted one-dimensional spin glasses with power law decaying interactions

98 citations · 1.6k across the 63 of their papers we have counts for

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Showing 2013Show all

5 papers · 1 filter

cond-mat.dis-nn2013★ 6 cited

The renormalization flow of the hierarchical Anderson model at weak disorder

F. L. Metz, L. Leuzzi, G. Parisi

We study the flow of the renormalized model parameters obtained from a sequence of simple transformations of the 1D Anderson model with long-range hierarchical hopping. Combining n…

cond-mat.dis-nn2013★ 13 cited

Transition between localized and extended states in the hierarchical Anderson model

F. L. Metz, L. Leuzzi, G. Parisi +1

We present strong numerical evidence for the existence of a localization-delocalization transition in the eigenstates of the 1-D Anderson model with long-range hierarchical hopping…

cond-mat.dis-nn2013★ 23 cited

Imry-Ma criterion for long-range random field Ising model: short-/long-range equivalence in a field

Luca Leuzzi, Giorgio Parisi

The Ising model in a random field and with power-law decaying ferromagnetic bonds is studied at zero temperature. Comparing the scaling of the energy contributions of the ferromagn…

cond-mat.dis-nn2013★ 19 cited

Renormalization Group on hierarchical lattices in finite dimensional disordered Ising and Blume-Emery-Griffiths Models

F. Antenucci, A. Crisanti, L. Leuzzi

Renormalization group on hierarchical lattices is often considered a valuable tool to understand the critical behavior of more complicated statistical mechanical models. In presenc…

cond-mat.dis-nn2013★ 14 cited

Exactly solvable spin-glass models with ferromagnetic couplings: the spherical multi--spin model in a self-induced field

Andrea Crisanti, Luca Leuzzi

We report some results on the quenched disordered Spherical multi--Spin Model in presence of ferromagnetic couplings. In particular, we present the phase diagrams of some repres…