18 citations · 49 across the 6 of their papers we have counts for
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Pure and Random Quantum Ising Chain : Shannon and Renyi entropies of the ground state via real space renormalization
Cecile Monthus
The Shannon and the Renyi entropies of the ground state wavefunction in the pure and in the random quantum Ising chain are studied via the self-dual Fernandez-Pacheco real-space re…
Block Renormalization for quantum Ising models in dimension : applications to the pure and random ferromagnet, and to the spin-glass
Cecile Monthus
For the quantum Ising chain, the self-dual block renormalization procedure of Fernandez-Pacheco [Phys. Rev. D 19, 3173 (1979)] is known to reproduce exactly the location of the zer…
Random Transverse Field Ising model on the Cayley Tree : analysis via Boundary Strong Disorder Renormalization
Cecile Monthus, Thomas Garel
Strong Disorder Renormalization for the Random Transverse Field Ising model leads to a complicated topology of surviving clusters as soon as . Even if one starts from a Cayley…
Anderson localization transition with long-ranged hoppings : analysis of the strong multifractality regime in terms of weighted Levy sums
Cecile Monthus, Thomas Garel
For Anderson tight-binding models in dimension with random on-site energies and critical long-ranged hoppings decaying typically as , we sho…
Random cascade models of multifractality : real-space renormalization and travelling-waves
Cecile Monthus, Thomas Garel
Random multifractals occur in particular at critical points of disordered systems. For Anderson localization transitions, Mirlin and Evers [PRB 62,7920 (2000)] have proposed the fo…
Random walk in a two-dimensional self-affine random potential : properties of the anomalous diffusion phase at small external force
Cecile Monthus, Thomas Garel
We consider the random walk of a particle in a two-dimensional self-affine random potential of Hurst exponent in the presence of an external force . We present numerical…