Rare regions, ie, rare large spatial disorder fluctuations, can dramatically change the
properties of a phase transition in a quenched disordered system. In generic classical …

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 …

This review discusses a paradigm that has become of increasing importance in the theory of
quantum phase transitions, namely, the coupling of the order-parameter fluctuations to other …

We present here our study of the adiabatic quantum dynamics of a random Ising chain
across its quantum critical point. The model investigated is an Ising chain in a transverse …

The effect of quenched disorder on the low-energy and low-temperature properties of
various two-and three-dimensional Heisenberg models is studied by a numerical strong …

The quantum critical behavior and the Griffiths-McCoy singularities of random quantum Ising
ferromagnets are studied by applying a numerical implementation of the Ma-Dasgupta-Hu …

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 …

The antiferromagnetic Ising chain in both transverse and longitudinal magnetic fields is one
of the paradigmatic models of a quantum phase transition. The antiferromagnetic system …

Abstract The Ma-Dasgupta-Hu renormalization group (RG) scheme is used to study singular
quantities in the Griffiths phase of random quantum spin chains. For the random transverse …

The effect of quenched disorder on the low-energy properties of various antiferromagnetic
spin-ladder models is studied by a numerical strong disorder renormalization-group method …