This title gives a complete and detailed description of collective modes (CMs) in unconventional superfluids and superconductors (USC).

Presents a modern treatment of the physics of vortex matter, mainly applied to unconventional superconductors and superfluids but with extensions to other areas of physics.

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.

Unconventional superconductivity (or superconductivity with a nontrivial Cooper pairing) is believed to exist in many heavy-fermion materials as well as in high temperature superconductors, and is a subject of great theoretical and experimental interest. The remarkable progress achieved in this field has not been reflected in published monographs and textbooks, and there is a gap between current research and the standard education of solid state physicists in the theory of superconductivity. This book is intended to meet this information need and includes the authors' original results.

Localized excitations form under many conditions in superfluids. Magnetic fields induce vortices in superconductors, while an out-of-equilibrium superfluid can create solitons, vortex rings, and vortices as the system returns to equilibrium. These nonlinear phenomena impact many experimental observables, and can also reveal information about the underlying superfluid.

This book presents a theory for unconventional superconductivity driven by spin excitations. Using the Hubbard Hamiltonian and a self-consistent treatment of the spin excitations, the interplay between magnetism and superconductivity in various unconventional superconductors is discussed. In particular, the monograph applies this theory for Cooper-pairing due to the exchange of spin fluctuations to the case of singlet pairing in hole- and electron-doped high-Tc superconductors, and to triplet pairing in Sr2RuO4. Within the framework of a generalized Eliashberg-like treatment, calculations of both many normal and superconducting properties as well as elementary excitations are performed. The results are related to the phase diagrams of the materials which reflect the interaction between magnetism and superconductivity.

This is the first volume of a comprehensive two-volume treatise on superconductivity that represents the first such publication since the earlier work by R. Parks. It systematically reviews the basic physics and recent advances in the field. Leading researchers describe the state of the art in conventional phonon-induced superconductivity, high-Tc superconductivity, and novel superconductivity. After an introduction and historical overview, the leaders in the special fields of research give a comprehensive survey of the basics and the state of the art in chapters covering the entire field of superconductivity, including conventional and unconventional superconductors. Important new results are reported in a manner intended to stimulate further research. Numerous illustrations, diagrams and tables make this book especially useful as a reference work for students, teachers, and researchers. The second volume treats novel superconductors.

The authors introduce the full content of the Microscopic Theory of Superfluid He II, developed since 1998; also given are brief accounts of the application of one concept from the theory, the QCE1 Superfluidity Mechanism, to superconductors. One peer review report writes: "The authors include more of the underlying physics than some earlier theories, and the comparisons they make with experimental data are satisfactory". The Microscopic Theory of Superfluid He II has several important features, which distinguishes this theory from the previous theories of He II. The immense volume of information the authors have today, especially the pieces of information revealing the microscopic dynamics of the system, was not available to the developers of the previous theories in the 1930s-1940s. This book also demonstrates how the general principles of quantum mechanics and condensed matter physics can be consistently applied to a given system with confidence, once a realistic microscopic model is derived for it. It demonstrates in turn the validity of the general physics principles in such an extreme system as the quantum fluid He II.

This book covers some of the most recent advances in the field of superfluids and superconductors. More specifically, it presents some of the most advanced theoretical formulations of superfluidity and superconductivity with special regard to their topological properties and vortex dynamics together with a description of the main experiments carried out via experimental techniques at the forefront to study these two such important phenomena in condensed matter physics. Special emphasis is given to ultracold Fermi gases, to clean liquid helium and to vortex membranes and knots for the class of superfluids and to the emerging superconductivity, to intermediate states in type-I superconductors, and to heat treatments to modulate the critical temperature for the class of superconductors.