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Author: R.P. Huebener Publisher: Springer Science & Business Media ISBN: 3662046652 Category : Technology & Engineering Languages : en Pages : 369
Book Description
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.
Author: R.P. Huebener Publisher: Springer Science & Business Media ISBN: 3662046652 Category : Technology & Engineering Languages : en Pages : 369
Book Description
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.
Author: Peter Brusov Publisher: World Scientific ISBN: 9812771239 Category : Science Languages : en Pages : 859
Book Description
This title gives a complete and detailed description of collective modes (CMs) in unconventional superfluids and superconductors (USC).
Author: N. Bontemps Publisher: Springer Science & Business Media ISBN: 9401109745 Category : Science Languages : en Pages : 330
Book Description
One of the most spectacular consequences of the description of the superfluid condensate in superfluid He or in superconductors as a single macroscopic quantum state is the quantization of circulation, resulting in quantized vortex lines. This book draws no distinction between superfluid He3 and He4 and superconductors. The reader will find the essential introductory chapters and the most recent theoretical and experimental progress in our understanding of the vortex state in both superconductors and superfluids, from lectures given by leading experts in the field, both experimentalists and theoreticians, who gathered in Cargèse for a NATO ASI. The peculiar features related to short coherence lengths, 2D geometry, high temperatures, disorder, and pinning are thoroughly discussed.
Author: Edouard B. Sonin Publisher: Cambridge University Press ISBN: 1316453502 Category : Science Languages : en Pages : 405
Book Description
A comprehensive overview of the basic principles of vortex dynamics in superfluids, this book addresses the problems of vortex dynamics in all three superfluids available in laboratories (4He, 3He, and BEC of cold atoms) alongside discussions of the elasticity of vortices, forces on vortices, and vortex mass. Beginning with a summary of classical hydrodynamics, the book guides the reader through examinations of vortex dynamics from large scales to the microscopic scale. Topics such as vortex arrays in rotating superfluids, bound states in vortex cores and interaction of vortices with quasiparticles are discussed. The final chapter of the book considers implications of vortex dynamics to superfluid turbulence using simple scaling and symmetry arguments. Written from a unified point of view that avoids complicated mathematical approaches, this text is ideal for students and researchers working with vortex dynamics in superfluids, superconductors, magnetically ordered materials, neutron stars and cosmological models.
Author: David G. Ferguson Publisher: ISBN: Category : Languages : en Pages :
Book Description
Most known superconductors are characterized by spin-singlet superconducting order. An exception is Sr2RuO4, for which evidence is accumulating in favor of superconducting order of spin-triplet character, specifically of the equal-spin type of pairing and, furthermore, which may exibit spontaneously broken time reversal symmetry. Triplet superconductors have been proposed to host half quantum vortices, whereas superconductors with spontaneously broken time-reversal symmetry are proposed to admit domain walls that separate regions of opposing chirality. Thus--in addition to conventional vortices--the topological structure of the unconventional superconducting order of Sr2RuO4 may allow for at least two additional topologically stable defects. This thesis explores aspects of these two unconventional topological defects: In Part I of the thesis we focus on domain walls, and in Part II we turn to half quantum vortices In Part I, via a general phenomenological and symmetry based approach, we derive an effective description of superconductivity that spontaneously breaks time reversal symmetry, in terms of the relevant topological coordinates for domain walls and vortices. One of the key consequences expected of broken time-reversal symmetry superconductivity is that in its ground state the system should exhibit chiral currents of charge that are localized near the core of any domain wall and near the boundaries of the sample. However, signatures of such currents, in the form of magnetic fields, have not been observed in Sr2RuO4, to date, despite considerable efforts. In this thesis, we explore alternative magnetic signatures of the existence of walls between domains of opposing chirality. We show that, in the limit in which the superconducting system is taken to have in-plane rotational invariance, a domain wall that is translationally invariant along the z axis (which runs perpendicular to the aforementioned planes) and includes an isolated bend through an angle Theta is accompanied by a nonintegral magnetic bend flux of value ( (Theta / pi) + n ) Phi_0, with integral n, that penetrates the superconductor and is localized near the bend. We find this result to be independent of the magnitude of chiral-charge currents that are predicted to flow along the core of domain walls. On the basis of this specialized result and its generalization to cases of discrete crystalline symmetry, we note that the observation of localized, nonintegral flux penetrating a z-axis surface (detected, e.g., via scanned-probe magnetic imaging) can potentially be interpreted in terms of the presence of bent walls between domains of opposing chirality, and hence would be suggestive of the existence of time-reversal symmetry-breaking superconductivity. In Part II of this thesis we consider half quantum vortices. We begin by developing a classification of the topologically stable line and point defects that are allowed for layered superconductors having triplet equal-spin pairing, under various assumptions about the structure of the superconducting pairing. Here, the central result is that, in contrast to the case of bulk superfluid 3He, half quantum vortices are shown to exist for both the time reversal symmetry broken and time-reversal intact forms of superconducting order. Then, after introducing the structure of the London free energy that effectively describes the energetics of half quantum vortices in such systems, we study the influence of sample geometry on the stability of half quantum vortices, finding that half quantum vortices are expected to be stable for a range of parameters that is wider than previously expected. An "annular", ring-shaped, geometry is useful in the experimental study of topological line defects such as half quantum vortices because such a geometry is expected to yield a discrete family of low-energy "fluxoid" states in which the superconducting order parameter winds around the annulus as it would around the line defect. Recently, evidence for half integer fluxoid states (the fluxoid analog of half quantum vortices) has been obtained in experiments on mesoscopic, ring-shaped samples of Sr2RuO4, using cantilever torque magnetometry. We briefly review the experimental technique and the experimental results that have emerged from its application to Sr2RuO4. We then discuss two possible scenarios for the theoretical interpretation of the observed half integer fluxoid behavior: a half quantum vortex scenario, and a wall vortex scenario. We find the first scenario to be more consistent with the observations, and we suggest further experiments that could provide even more stringent tests of the consistency of this exciting, half quantum vortex scenario.
Author: Roberto Zivieri Publisher: BoD – Books on Demand ISBN: 178923204X Category : Science Languages : en Pages : 156
Book Description
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.
Author: C.F. Barenghi Publisher: Springer ISBN: 3540455426 Category : Technology & Engineering Languages : en Pages : 459
Book Description
This book springs from the programme Quantized Vortex Dynamics and Sup- ?uid Turbulence held at the Isaac Newton Institute for Mathematical Sciences (University of Cambridge) in August 2000. What motivated the programme was the recognition that two recent developments have moved the study of qu- tized vorticity, traditionally carried out within the low-temperature physics and condensed-matter physics communities, into a new era. The ?rst development is the increasing contact with classical ?uid dynamics and its ideas and methods. For example, some current experiments with - lium II now deal with very classical issues, such as the measurement of velocity spectra and turbulence decay rates. The evidence from these experiments and many others is that super?uid turbulence and classical turbulence share many features. The challenge is now to explain these similarities and explore the time scales and length scales over which they hold true. The observed classical aspects have also attracted attention to the role played by the ?ow of the normal ?uid, which was somewhat neglected in the past because of the lack of direct ?ow visualization. Increased computing power is also making it possible to study the coupled motion of super?uid vortices and normal ?uids. Another contact with classical physics arises through the interest in the study of super?uid vortex - connections. Reconnections have been studied for some time in the contexts of classical ?uid dynamics and magneto-hydrodynamics (MHD), and it is useful to learn from the experience acquired in other ?elds.
Author: Roberto Zivieri Publisher: ISBN: 9781789232059 Category : Physics Languages : en Pages : 154
Book Description
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.
Author: Adrian Crisan Publisher: Springer ISBN: 3319593552 Category : Technology & Engineering Languages : en Pages : 266
Book Description
This book provides expert coverage of modern and novel aspects of the study of vortex matter, dynamics, and pinning in nanostructured and multi-component superconductors. Vortex matter in superconducting materials is a field of enormous beauty and intellectual challenge, which began with the theoretical prediction of vortices by A. Abrikosov (Nobel Laureate). Vortices, vortex dynamics, and pinning are key features in many of today’s human endeavors: from the huge superconducting accelerating magnets and detectors at the Large Hadron Collider at CERN, which opened new windows of knowledge on the universe, to the tiny superconducting transceivers using Rapid Single Flux Quanta, which have opened a revolutionary means of communication. In recent years, two new features have added to the intrinsic beauty and complexity of the subject: nanostructured/nanoengineered superconductors, and the discovery of a range of new materials showing multi-component (multi-gap) superconductivity. In this book, leading researchers survey the most exciting and important recent developments in the field. Topics covered include: the use of scanning Hall probe microscopy to visualize interactions of a single vortex with pinning centers; Magneto-Optical Imaging for investigating what vortex avalanches are, why they appear, and how they can be controlled; and the vortex interactions responsible for the second magnetization peak. Other chapters discuss nanoengineered pinning centers of vortices for improved current-carrying capabilities, current anisotropy in cryomagnetic devices in relation to the pinning landscape, and the new physics associated with the discovery of new superconducting materials with multi-component superconductivity. The book offers something for almost everybody interested in the field: from experimental techniques to visualize vortices and study their dynamics, to a state-of-the-art theoretical microscopic approach to multicomponent superconductivity.
Author: Len M. Pismen Publisher: Oxford University Press ISBN: 9780198501671 Category : Mathematics Languages : en Pages : 308
Book Description
Symmetry breaking is partially responsible for the astounding variety of natural phenomena derived from a few simple and symmetric basic laws. Unique in its multidisciplinary scope, this book considers from a unified point of view the structure and dynamics of vortices in a variety of nonlinear field models with spontaneously broken symmetry. The theory has wide applications, including superfluids, superconductors, rotating spiral waves, and relativistic string theories. This volume is an integrated survey of this rapidly developing field.