This book concisely presents the latest trends in the physics of
superconductivity and superfluidity and magnetism in novel systems, as
well as the problem of BCS-BEC crossover in ultracold quantum gases and
high-Tc superconductors. It further illuminates the intensive exchange
of ideas between these closely related fields of condensed matter
physics over the last 30 years of their dynamic development. The content
is based on the author's original findings obtained at the Kapitza
Institute, as well as advanced lecture courses he held at the Moscow
Engineering Physical Institute, Amsterdam University, Loughborough
University and LPTMS Orsay between 1994 and 2011. In addition to the
findings of his group, the author discusses the most recent concepts in
these fields, obtained both in Russia and in the West. The book consists
of 16 chapters which are divided into four parts. The first part
describes recent developments in superfluid hydrodynamics of quantum
fluids and solids, including the fashionable subject of possible
supersolidity in quantum crystals of 4He, while the second describes
BCS-BEC crossover in quantum Fermi-Bose gases and mixtures, as well as
in the underdoped states of cuprates. The third part is devoted to
non-phonon mechanisms of superconductivity in unconventional (anomalous)
superconductors, including some important aspects of the theory of
high-Tc superconductivity. -The last part considers the anomalous normal
state of novel superconductive materials and materials with colossal
magnetoresistance (CMR). The book offers a valuable guide for
senior-level undergraduate students and graduate students, postdoctoral
and other researchers specializing in solid-state and low-temperature
physics.
