There is a large variety of quantum and classical systems in which the quenched disorder
plays a dominant rôle over quantum, thermal, or stochastic fluctuations: these systems …

Critical phenomena arise in a wide variety of physical systems. Classi cal examples are the
liquid-vapour critical point or the paramagnetic ferromagnetic transition. Further examples …

We study the critical and off-critical (Griffiths-McCoy) regions of the random transverse-field
Ising spin chain by analytical and numerical methods and by phenomenological scaling …

We investigate the nonequilibrium dynamics of the one-dimension Aubry-André-Harper
model with p-wave superconductivity by changing the potential strength with slow and …

We study the Brownian motion of a classical particle in one-dimensional inhomogeneous
environments where the transition probabilities follow quasiperiodic or aperiodic …

Unlike random potentials, quasiperiodic modulation can induce localization-delocalization
transitions in one dimension. In this Letter, we analyze the implications of this for symmetry …

We consider two prototypical quantum models, the spin-1/2 XY chain and the quantum Ising
chain and study their entanglement entropy, S (ℓ, L), of blocks of ℓ spins in homogeneous or …

We study the entanglement entropy of blocks of contiguous spins in non-periodic (quasi-
periodic or more generally aperiodic) critical Heisenberg, XX and quantum Ising spin chains …

We study the critical behavior of Ising quantum magnets with broadly distributed random
couplings (J), such that P (ln J)∼| ln J|-1-α, α> 1, for large| ln J|(Lévy flight statistics). For …

Using free-fermionic techniques we study the entanglement entropy of a block of contiguous
spins in a large finite quantum Ising chain in a transverse field, with couplings of different …