161 citations · 1.4k across the 72 of their papers we have counts for
55 papers · 1 filter
Zero-temperature spinglass-ferromagnetic transition : scaling analysis of the domain-wall energy
Cecile Monthus, Thomas Garel
For the Ising model with Gaussian random coupling of average and unit variance, the zero-temperature spinglass-ferromagnetic transition as a function of the control parameter…
Chaos properties of the one-dimensional long-range Ising spin-glass
Cecile Monthus, Thomas Garel
For the long-range one-dimensional Ising spin-glass with random couplings decaying as , the scaling of the effective coupling defined as the difference between…
Scaling of the largest dynamical barrier in the one-dimensional long-range Ising spin-glass
Cecile Monthus, Thomas Garel
The long-range one-dimensional Ising spin-glass with random couplings decaying as presents a spin-glass phase for (the limit cor…
Typical versus averaged overlap distribution in Spin-Glasses : Evidence for the droplet scaling theory
Cecile Monthus, Thomas Garel
We consider the statistical properties over disordered samples of the overlap distribution which plays the role of an order parameter in spin-glasses. We show that…
Dynamical barriers of pure and random ferromagnetic Ising models on fractal lattices
Cecile Monthus, Thomas Garel
We consider the stochastic dynamics of the pure and random ferromagnetic Ising model on the hierarchical diamond lattice of branching ratio with fractal dimension $d_f=(\ln (2K…
Dynamical barriers for the random ferromagnetic Ising model on the Cayley tree : traveling-wave solution of the real space renormalization flow
Cecile Monthus, Thomas Garel
We consider the stochastic dynamics near zero-temperature of the random ferromagnetic Ising model on a Cayley tree of branching ratio . We apply the Boundary Real Space Renormal…
Random Transverse Field Ising model in : analysis via Boundary Strong Disorder Renormalization
Cecile Monthus, Thomas Garel
To avoid the complicated topology of surviving clusters induced by standard Strong Disorder RG in dimension , we introduce a modified procedure called 'Boundary Strong Disorde…
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…
Strong Disorder RG principles within a fixed cell-size real space renormalization : application to the Random Transverse Field Ising model on various fractal lattices
Cecile Monthus, Thomas Garel
Strong Disorder Renormalization is an energy-based renormalization that leads to a complicated renormalized topology for the surviving clusters as soon as . In this paper, we…
Random Transverse Field Ising Model in dimension : Infinite Disorder scaling via a non-linear transfer approach
Cecile Monthus, Thomas Garel
The 'Cavity-Mean-Field' approximation developed for the Random Transverse Field Ising Model on the Cayley tree [L. Ioffe and M. Mézard, PRL 105, 037001 (2010)] has been found to re…
Random Transverse Field Ising Model in dimension : scaling analysis in the disordered phase from the Directed Polymer model
Cecile Monthus, Thomas Garel
For the quantum Ising model with ferromagnetic random couplings and random transverse fields at zero temperature in finite dimensions , we consider the low…
Random field Ising model : statistical properties of low-energy excitations and of equilibrium avalanches
Cecile Monthus, Thomas Garel
With respect to usual thermal ferromagnetic transitions, the zero-temperature finite-disorder critical point of the Random-field Ising model (RFIM) has the peculiarity to involve s…
A critical Dyson hierarchical model for the Anderson localization transition
Cecile Monthus, Thomas Garel
A Dyson hierarchical model for Anderson localization, containing non-random hierarchical hoppings and random on-site energies, has been studied in the mathematical literature since…
Anderson localization on the Cayley tree : multifractal statistics of the transmission at criticality and off criticality
Cecile Monthus, Thomas Garel
In contrast to finite dimensions where disordered systems display multifractal statistics only at criticality, the tree geometry induces multifractal statistics for disordered syst…
Random elastic networks : strong disorder renormalization approach
Cecile Monthus, Thomas Garel
For arbitrary networks of random masses connected by random springs, we define a general strong disorder real-space renormalization (RG) approach that generalizes the procedures in…
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…
Anderson localization of phonons in dimension : finite-size properties of the Inverse Participation Ratios of eigenstates
Cecile Monthus, Thomas Garel
We study by exact diagonalization the localization properties of phonons in mass-disordered harmonic crystals of dimension . We focus on the behavior of the typical Invers…
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…
Many-body localization transition in a lattice model of interacting fermions: statistics of renormalized hoppings in configuration space
Cecile Monthus, Thomas Garel
We consider the one-dimensional lattice model of interacting fermions with disorder studied previously by Oganesyan and Huse [Phys. Rev. B 75, 155111 (2007)]. To characterize a pos…
Matching between typical fluctuations and large deviations in disordered systems : application to the statistics of the ground state energy in the SK spin-glass model
Cecile Monthus, Thomas Garel
For the statistics of global observables in disordered systems, we discuss the matching between typical fluctuations and large deviations. We focus on the statistics of the ground…
Eigenvalue method to compute the largest relaxation time of disordered systems
Cecile Monthus, Thomas Garel
We consider the dynamics of finite-size disordered systems as defined by a master equation satisfying detailed balance. The master equation can be mapped onto a Schrödinger equatio…
Statistics of first-passage times in disordered systems using backward master equations and their exact renormalization rules
Cecile Monthus, Thomas Garel
We consider the non-equilibrium dynamics of disordered systems as defined by a master equation involving transition rates between configurations (detailed balance is not assumed).…
Random walk in two-dimensional self-affine random potentials : strong disorder renormalization approach
Cecile Monthus, Thomas Garel
We consider the continuous-time random walk of a particle in a two-dimensional self-affine quenched random potential of Hurst exponent . The corresponding master equation is s…