Vortices in Unconventional Superconductors and Superfluids

1. Front Matter

   Pages I-XVII

   PDF

2. The Beautiful World of the Vortex

   1. The Beautiful World of the Vortex

      • G. E. Volovik

      Pages 1-4

3. Vortices in Superconductors, Superfluids, Neutron Stars, and QFT

   1. Front Matter

      Pages 5-5

      PDF

   2. Type II Superconductors and Vortices from the 1950s to the 1990s

      • A. A. Abrikosov

      Pages 7-20

   3. What Can Superconductivity Learn from Quantized Vorticity in 3He Superfluids?

      • G. E. Volovik, V. B. Eltsov, M. Krusius

      Pages 21-48

   4. Nucleation of Vortices in Superfluid 3He-B by Rapid Thermal Quench

      • Igor S. Aranson, Nikolai B. Kopnin, Valerii M. Vinokur

      Pages 49-64

   5. Superfluidity in Relativistic Neutron Stars

      • David Langlois

      Pages 65-81

   6. Superconducting Superfluids in Neutron Stars

      • Brandon Carter

      Pages 83-96

4. Vortex Dynamics, Spectral Flow and Aharonov—Bohm Effect

   1. Front Matter

      Pages 97-97

      PDF

   2. Vortex Dynamics and the Problem of the Transverse Force in Clean Superconductors and Fermi Superfluids

      • N. B. Kopnin

      Pages 99-118

   3. Magnus Force and Aharonov—Bohm Effect in Superfluids

      • Edouard Sonin

      Pages 119-145

   4. The Lorentz Force Exerted by the Aharonov—Bohm Flux Line

      • Andrei Shelankov, A. F. Ioffe

      Pages 147-166

   5. Relativistic Solution of Lordanskii Problem in Multi-Constituent Superfluid Mechanics

      • B. Carter, D. Langlois, R. Prix

      Pages 167-173

   6. Vortex Core Structure and Dynamics in Layered Superconductors

      • M. Eschrig, D. Rainer, J. A. Sauls

      Pages 175-203

5. Fermion Zero Modes on Vortices

   1. Front Matter

      Pages 205-205

      PDF

   2. Band Theory of Quasiparticle Excitations in the Mixed State of d-Wave Superconductors

      • Alexander S. Mel’nikov

      Pages 207-224

   3. Magnetic Field Dependence of the Vortex Structure Based on the Microscopic Theory

      • Masanori Ichioka, Mitsuaki Takigawa, Kazushige Machida

      Pages 225-242

   4. Quasiparticle Spectrum in the Vortex State in Nodal Superconductors

      • H. Won, K. Maki

      Pages 243-252

   5. Random-Matrix Ensembles in p-Wave Vortices

      • Dmitri A. Ivanov

      Pages 253-265

6. Selected Experiments on Vortices in Superconductors

   1. Front Matter

      Pages 267-267

      PDF

The physics of vortices in classical fluids has been a highly important subject for many years, both in fundamental science and in engineering applications. About 50 years ago, vortices started to become prominent as quantum me­ chanical objects constructed from a macroscopic wavefunction. Here the key developments are associated with the names R. Feynman, L. Onsager, L. D. Landau, F. London, V.L. Ginzburg and A.A. Abrikosov. Recently, the physics of vortices has undergone a further important step of diversification, namely in unconventional superconductors and superfluids, which are characterized by an anisotropic and/or spatially complex order parameter. It is this latest evolutionary step of vortex physics that is addressed in this book. The indi­ vidual chapters are concerned with the microscopic structure and dynamics of vortices in diverse systems ranging from superfluids and superconductors to neutron stars. Each of the 20 chapters is written by one or more experts on the parti­ cular subject. Each chapter provides an introduction and overview, empha­ sizing theoretical as well as experimental work, and includes references to both recent and pioneering earlier developments. In this way non-expert rea­ ders will also benefit from these lecture notes. Hence, the book will be useful for all researchers and graduate students interested in the physics of vorti­ ces in unconventional superconductors and superfluids. It may also serve as supplementary material for a graduate course on low-temperature solid-state physics.

• Quantized flux lines
• Superconductivity
• Superconductor
• Superfluidity
• Vortices
• fluid mechanics
• magnetic field
• mechanics
• neutron scattering
• quenching
• scattering
• spectroscopy

• Physikalisches Institut, Eberhard-Karls-Universität Tübingen, Tübingen, Germany

  R. P. Huebener

• Lehrstuhl für Theoretische Festkörperphysik, Eberhard-Karls-Universität Tübingen, Tübingen, Germany

  N. Schopohl

• Landau Institute for Theoretical Physics, Moscow, Russia

  G. E. Volovik

• Low Temperature Laboratory, Helsinki University of Technology, Espoo, Finland

  G. E. Volovik

Policies and ethics