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Collective Classical And Quantum Fields: In Plasmas, Superconductors, Superfluid 3he, And Liquid Crystals

Author : Hagen Kleinert
Publisher : World Scientific Publishing Company
Page : 423 pages
File Size : 38,85 MB
Release : 2017-12-22
Category : Science
ISBN : 9813223960

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This is an introductory book dealing with collective phenomena in many-body systems. A gas of bosons or fermions can show oscillations of various types of density. These are described by different combinations of field variables. Especially delicate is the competition of these variables. In superfluid 3He, for example, the atoms can be attracted to each other by molecular forces, whereas they are repelled from each other at short distance due to a hardcore repulsion. The attraction gives rise to Cooper pairs, and the repulsion is overcome by paramagnon oscillations. The combination is what finally led to the discovery of superfluidity in 3He. In general, the competition between various channels can most efficiently be studied by means of a classical version of the Hubbard-Stratonovich transformation.A gas of electrons is controlled by the interplay of plasma oscillations and pair formation. In a system of rod- or disc-like molecules, liquid crystals are observed with directional orientations that behave in unusual five-fold or seven-fold symmetry patterns. The existence of such a symmetry was postulated in 1975 by the author and K Maki. An aluminium material of this type was later manufactured by Dan Shechtman which won him the 2014 Nobel prize. The last chapter presents some solvable models, one of which was the first to illustrate the existence of broken supersymmetry in nuclei.

Exotic Properties of Superfluid 3He

Author : G. E. Volovik
Publisher : World Scientific
Page : 236 pages
File Size : 21,88 MB
Release : 1992
Category : Science
ISBN : 9789810207052

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This book discusses the unique properties of superfluid phases of 3He, the condensed matter with the outmost broken symmetry, which combine in a surprising way the properties of ordered magnets, liquid crystals and superfluids. The complicated vacuum state of these phases with a large number of fermionic and bosonic quasiparticles and topological objects remains the vacuum in modern quantum field theories. Some of the objects and physical phenomena in 3He have strong analogy with the neutrino, W-bosons, weak interactions, gravity, chiral anomaly, Quantum Hall Effect and fractional statistics. As an example of topological objects, the quantized vortices in 3He phases are discussed in detail, including singular and continuous vortices, half-quantum vortices, broken symmetry in the vortex core and phase transitions between the vortex states with different symmetry and topology.

Collective Excitations in Unconventional Superconductors and Superfluids

Author : Peter Brusov
Publisher : World Scientific
Page : 859 pages
File Size : 18,31 MB
Release : 2009-11-20
Category : Science
ISBN : 9812771247

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This is the first monograph that strives to give a complete and detailed description of the collective modes (CMs) in unconventional superfluids and superconductors (UCSF&SC). Using the most powerful method of modern theoretical physics OCo the path (functional) integral technique OCo authors build the three- and two-dimensional models for s -, p - and d -wave pairing in neutral as well as in charged FermiOCosystems, models of superfluid BoseOCosystems and FermiOCoBoseOComixtures. Within these models they study the collective properties of such systems as superfluid 3 He, superfluid 4 He, superfluid 3 He- 4 He mixtures, superfluid 3 He-films, superfluid 3 He and superfluid 3 He- 4 He mixtures in aerogel, high temperature superconductors, heavy-fermion superconductors, superconducting films etc. Authors compare their results with experimental data and predict a lot of new experiments on CMs study. This opens for experimentalists new possibilities for search of new intriguing features of collective behavior of UCSF&SC. The monograph creates the new scientific direction OCo the spectroscopy of collective modes in unconventional superfluids and superconductors. It will be useful for both theorists and experimentalists, studying superfluids and superconductors, low temperature physics, condensed matter physics, solid state physics. It could be used by graduate students specializing in the same areas. Sample Chapter(s). Introduction (162 KB). Chapter 1: Functional Integration Method (369 KB). Contents: Functional Integration Method; Collective Excitations in Superfluid Fermi-Systems with s OCoPairing; Superfluid Phases in 3 He; The Model of 3 He; Collective Excitations in the B OCoPhase of 3 He; Collective Excitations in the A OCoPhase of 3 He; Stability of Goldstone Modes; Influence of Dipole Interaction and Magnetic Field on Collective Excitations; The Influence of the Electric Field on the Collective Excitations in 3 He and 4 He; The Order Parameter Distortion and Collective Modes in 3 HeOCo B; Collective Excitations in the Planar 2 D OCoPhase of Superfluid 3 He; Collective Excitations in the PolarOCoPhase; Superfluidity of TwoOCoDimensional and One-Dimensional Systems; BoseOCoSpectrum of Superfluid Solutions 3 He- 4 He; Novel Sound Phenomena in Impure Superfluids; Collective Modes in the HeavyOCoFermion Superconductors; Other Application of the Theory of Collective Excitations. Readership: Graduate and postgraduate students, researchers (theorists and experimentalists), in low temperature physics, superconductivity and condensed matter physics."

Introduction to Superfluidity

Author : Andreas Schmitt
Publisher : Springer
Page : 160 pages
File Size : 44,71 MB
Release : 2014-07-15
Category : Technology & Engineering
ISBN : 3319079476

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Superfluidity – and closely related to it, superconductivity – are very general phenomena that can occur on vastly different energy scales. Their underlying theoretical mechanism of spontaneous symmetry breaking is even more general and applies to a multitude of physical systems. In these lecture notes, a pedagogical introduction to the field-theory approach to superfluidity is presented. The connection to more traditional approaches, often formulated in a different language, is carefully explained in order to provide a consistent picture that is useful for students and researchers in all fields of physics. After introducing the basic concepts, such as the two-fluid model and the Goldstone mode, selected topics of current research are addressed, such as the BCS-BEC crossover and Cooper pairing with mismatched Fermi momenta.

Superfluid States of Matter

Author : Boris V. Svistunov
Publisher : CRC Press
Page : 0 pages
File Size : 28,15 MB
Release : 2015-04-15
Category : Science
ISBN : 9781439802755

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Covers the State of the Art in Superfluidity and Superconductivity Superfluid States of Matter addresses the phenomenon of superfluidity/superconductivity through an emergent, topologically protected constant of motion and covers topics developed over the past 20 years. The approach is based on the idea of separating universal classical-field superfluid properties of matter from the underlying system’s “quanta.” The text begins by deriving the general physical principles behind superfluidity/superconductivity within the classical-field framework and provides a deep understanding of all key aspects in terms of the dynamics and statistics of a classical-field system. It proceeds by explaining how this framework emerges in realistic quantum systems, with examples that include liquid helium, high-temperature superconductors, ultra-cold atomic bosons and fermions, and nuclear matter. The book also offers several powerful modern approaches to the subject, such as functional and path integrals. Comprised of 15 chapters, this text: Establishes the fundamental macroscopic properties of superfluids and superconductors within the paradigm of the classical matter field Deals with a single-component neutral matter field Considers fundamentals and properties of superconductors Describes new physics of superfluidity and superconductivity that arises in multicomponent systems Presents the quantum-field perspective on the conditions under which classical-field description is relevant in bosonic and fermionic systems Introduces the path integral formalism Shows how Feynman path integrals can be efficiently simulated with the worm algorithm Explains why nonsuperfluid (insulating) ground states of regular and disordered bosons occur under appropriate conditions Explores superfluid solids (supersolids) Discusses the rich dynamics of vortices and various aspects of superfluid turbulence at T →0 Provides account of BCS theory for the weakly interacting Fermi gas Highlights and analyzes the most crucial developments that has led to the current understanding of superfluidity and superconductivity Reviews the variety of superfluid and superconducting systems available today in nature and the laboratory, as well as the states that experimental realization is currently actively pursuing

Quantum Electron Liquids and High-Tc Superconductivity

Author : Jose Gonzalez
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 15,21 MB
Release : 2008-11-30
Category : Science
ISBN : 3540476784

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This book originated from a course given at the Univcrsidad Aut6noma of Madrid in the Spring of 1994 and in the Universidad Complutense of Madrid in 1995. The goal of these courses is to give the non-specialist an introduction to some old and new ideas in the field of strongly correlated systems, in particular the problems posed by the high-1~ superconducting materials. As theoretical physicists, our starting viewpoint to address the problem of strongly correlat ed ferlnion systems and related issues of modern condensed matter physics ·is the renormalization group approach applied both to quantU111 field theory and statistical physics. In recent years this has become not only a powerful tool for retrieving the essential physics of interacting systems but also a link between theoretical physics and modern condensed matter physics. Furthermore, once we have this common background for dealing with apparently different prob lems, we discuss more specific topics and even phenomenological aspects of the field. In doing so we have tried to make the exposition clear and simple, with out entering into technical details but focusing ill the fundamental physics of the phenomena under study. Therefore ,ve expect that our experience ll1ay have some value to other people entering this fascinating field. We have divided these notes into three parts and each part into chapters, which correspond roughly to one or two lectures. Part I, Chaps. 1-2 (A. H. V.

Superfluids and Superconductors

Author : Roberto Zivieri
Publisher : BoD – Books on Demand
Page : 156 pages
File Size : 38,63 MB
Release : 2018-05-30
Category : Science
ISBN : 178923204X

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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.

Novel Superfluids

Author : K. H. Bennemann
Publisher : International Monographs on Ph
Page : 657 pages
File Size : 21,84 MB
Release : 2014
Category : Science
ISBN : 0198719264

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Volume 2 of Novel Superfluids continues the presentation of recent results on superfluids, including novel metallic systems, superfluid liquids, and atomic/molecular gases of bosons and fermions, particularly when trapped in optical lattices. Since the discovery of superconductivity (Leyden, 1911), superfluid 4He (Moscow and Cambridge, 1937), superfluid 3He (Cornell, 1972), and observation of Bose-Einstein Condensation (BEC) of a gas (Colorado and MIT, 1995), the phenomenon of superfluidity has remained one of the most important topics in physics. Again and again, novel superfluids yield surprising and interesting behaviors. The many classes of metallic superconductors, including the high temperature perovskite-based oxides, MgB2, organic systems, and Fe-based pnictides, continue to offer challenges. The technical applications grow steadily. What the temperature and field limits are remains illusive. Atomic nuclei, neutron stars and the Universe itself all involve various aspects of superfluidity, and the lessons learned have had a broad impact on physics as a whole.

Relaxation Phenomena

Author : Wolfgang Haase
Publisher : Springer
Page : 716 pages
File Size : 29,42 MB
Release : 2003-08-12
Category : Science
ISBN : 9783540442691

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During thelastthreedecadesmanynewaswellasextendedclassesoforganic andinorganicmaterials,someofwhichbeingofhybridtype,havebeensynthe sized. Amongthemarethosethecontributorsofthisbookaredealingwith. In parallel to this, new technologies have been developed such as active matrix addressed liquid crystal displays (TFT-LCD), new types of sensors like ther mographic sheets employed in science, industry and medicine, organic light emitting diodes (OLEDs), SQUIDs etc. At the same time the techniques for characterizing both the materials and technological products have become very fast and highly precise. For example, today measuring a dielectric spec trum over a broadfrequency rangewith a high density of experimentalpoints per decade requires a few minutes time, sometimes just a few seconds, but before it would have taken weeks or even months. Nowadays one is able to create an enormous amount of data points but there is a real problem how to reach the real message, the truth? Toanswersuchquestions,aftersomeyearsofaverye?cientandsuccessful bilateral co-operation between our two research groups in Darmstadt and in Cracow, in the early 1990s an idea appeared to discuss all such intriguing problems with our colleagues and friends from many countries in the friendly atmosphere of the nice vacation resort of Zakopane in the Tatra Mountains. Therefore our ?rst workshop was organized there in 1993 and repeated at the same place in 1995 and 2000, interchanged with Darmstadt in 1998 and ?nally again in 2002. These kinds of meetings were well received as shown by the participation of the leading scientists in the ?eld of materials science and by graduate students and postdoctoral fellows from all over the world.

Superfluids

Author : Fritz London
Publisher :
Page : 212 pages
File Size : 47,74 MB
Release : 1961
Category : Electric conductivity
ISBN :

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