Overview
- Editors:
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Jorge Berger
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Ort Braude College, Israel
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Jacob Rubinstein
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Department of Mathematics, Technion, Haifa, Israel
- There is no competitive book discussing the relationship between superconductivity and the topology of the boundaries of the probe
- This exciting problem is presented by theoreticians as well as experimentalists in a book intelligible to students
- Includes supplementary material: sn.pub/extras
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Table of contents (13 chapters)
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- José I. Castro, Arturo López
Pages 23-62
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- Bernard Helffer, Maria Hoffmann-Ostenhof, Thomas Hoffmann-Ostenhof, Mark Owen
Pages 63-86
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- Victor V. Moshchalkov, Vital Bruyndoncx, Lieve Van Look
Pages 87-137
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- Luís Almeida, Fabrice Bethuel
Pages 174-187
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- Gustavo C. Buscaglia, Carlos Bolech, Arturo López
Pages 200-214
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- Sanatan Digal, Rajarshi Ray, Supratim Sengupta, Ajit M. Srivastava
Pages 215-229
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About this book
The motto of connectivity and superconductivity is that the solutions of the Ginzburg–Landau equations are qualitatively in?uenced by the topology of the boundaries. Special attention is given to the “zero set”,the set of the positions (usually known as “quantum vortices”) where the order parameter vanishes. The paradigm of connectivity and superconductivity is the Little– Parks e?ect,discussed in most textbooks on superconductivity. This volume is intended to serve as a reference book for graduate students and researchers in physics or mathematics interested in superconductivity, or in the Schr¨ odinger equation as a limiting case of the Ginzburg–Landau equations. The e?ects considered here usually become important in the regime where the coherence length is of the order of the dimensions of the sample. While in the Little–Parks days a lot of ingenuity was required to achieve this regime, present microelectronic techniques have transformed it into a routine. Mo- over,measurement and visualization techniques are developing at a pace which makes it reasonable to expect veri?cation of distributions,and not only of global properties. Activity in the ?eld has grown and diversi?ed substantially in recent years. We have therefore invited experts ranging from experimental and theoretical physicists to pure and applied mathematicians to contribute articles for this book. While the skeleton of the book deals with superconductivity,micron- works and generalizations of the Little–Parks situation,there are also articles which deal with applications of the Ginzburg–Landau formalism to several fundamental topics,such as quantum coherence,cosmology,and questions in materials science.
Editors and Affiliations
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Ort Braude College, Israel
Jorge Berger
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Department of Mathematics, Technion, Haifa, Israel
Jacob Rubinstein
