This review discusses instabilities of the Fermi-liquid state of conduction electrons in metals
with particular emphasis on magnetic quantum critical points. Both existing theoretical …

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 …

In this paper, we review theoretical and experimental research on rare region effects at
quantum phase transitions in disordered itinerant electron systems. After summarizing a few …

Systematic deviations from standard Fermi-liquid behaviour have been widely observed and
documented in several classes of strongly correlated metals. For many of these systems …

Solid-state physics and soft-matter physics have been developed independently, with little
mutual exchange of the underlying physical concepts. However, after many studies of …

Motivated by the intrinsic non-Fermi-liquid behavior observed in the heavy-fermion
quasicrystal Au 51 Al 34 Yb 15, we study the low-temperature behavior of dilute magnetic …

Elementary analytical extremal statistics arguments are used to analyze the possibility of
quantum Griffiths effects in nearly critical systems with overdamped dynamics, such as arise …

The metal–insulator transition (MIT) is one of the oldest, yet one of the fundamentally least
understood problems in condensed matter physics. Materials which we understand well …

Strongly correlated electrons with box disorder in high-dimensional lattices are investigated.
We apply a statistical dynamical mean-field theory that treats local correlations …

Effects of disorder are examined in itinerant systems close to quantum critical points. We
argue that spin fluctuations due to the long-range part of the RKKY interactions generically …