When interactions are
dominant the resulting
macroscopic coherence gives rise to new states of matter with broken
global
or gauge symmetries that often exhibit unexpected behavior such as
Superconductivity, Superfluidity, Magnetism and Charge
Density Waves.
Fluctuation
of thermal or quantal origin tend to restore the
symmetry of the interaction and to destroy long-range coherence
resulting
in homogeneous states such as paramagnetic, liquid
or gaseous phases. Fluctuations
arising from quenched disorder (usually
caused by material defects), give rise to Glassy or
Disordered
phases. These disordered media
exhibit behavior that physicists are
only beginning to come to grips with: metastability, hysteresis,
non-linear
dynamics, and memory.
In this context the object of our research is to explore: