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          Institute: MPI für Festkörperforschung     Collection: FKF Publikationen 2001     Display Documents

ID: 7593.0, MPI für Festkörperforschung / FKF Publikationen 2001
Vortex states and quantum magnetic oscillations in conventional type-II superconductors
Authors:Maniv, T.; Zhuravlev, V.; Vagner, I.; Wyder, P.
Date of Publication (YYYY-MM-DD):2001
Title of Journal:Reviews of Modern Physics
Issue / Number:4
Start Page:867
End Page:911
Review Status:Peer-review
Audience:Not Specified
Abstract / Description:The theory of pure type-II superconductors at high magnetic
fields and low temperatures has recently attracted much
attention due to the discovery of de Haas-van Alphen
oscillations deep in the vortex state. In this article the
authors review the state of the art in this rapidly growing new
field of research. The very existence of quantum magnetic
oscillations deep in the vortex state poses challenging
questions to the theorists working in this field. For a
conventional extreme type-II superconductor in magnetic fields
just below the upper critical field H-c2, the quasiparticle
spectrum is gapless and the de Haas-van Alphen effect is
suppressed with respect to the corresponding normal-state
signal due to superconducting induced currents near the vortex
cores, which are of paramagnetic nature. Numerical simulations
of the quasiparticle band structure in the Abrikosov vortex
lattice show the existence of well-separated Landau bands below
H-c2. An analytical perturbative approach, which emphasizes the
importance of phase coherence in quasiparticle scattering by
the pair potential in the Abrikosov lattice, predicts a
relatively weak magnetic breakdown of the corresponding
cyclotron orbits. In contrast to the situation in the Abrikosov
lattice state, a theory based on a random vortex lattice model
yields large exponential decay of the de Haas-van Alphen
oscillations with the superconducting order parameter below H-
c2. The disordered nature of the vortex state near H-c2 in real
superconductors, where long-range phase coherence in the
superconducting order parameter is destroyed, could explain the
success of this model in interpreting experimental data below
H-c2. In the Abrikosov vortex lattice state, which usually
stabilizes well below H,2, the residual damping of the de Haas-
van Alphen amplitude is significantly reduced. In quasi-two-
dimensional superconductors, phase fluctuations associated with
sliding Bragg chains along principal axes in the vortex lattice
lead to a weak first-order melting transition far below the
mean-field H-c2. Superconducting fluctuations dominate the
additional damping of the de Haas-van Alphen oscillations in
this vortex liquid state. Below the first-order freezing point,
this damping is predicted to weaken signifiFantly.
External Publication Status:published
Document Type:Article
Communicated by:Michaela Asen-Palmer
Affiliations:MPI für Festkörperforschung
External Affiliations:; Max Planck Inst Festkorperforsch, Grenoble High Magnet Field Lab, F-38042 Grenoble 9, France
; CNRS, F-38042 Grenoble, France
; Technion Israel Inst Technol, Dept Chem, IL-32000 Haifa, Israel
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