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Barford, William; Harrison, Marcus

doi:10.1103/physrevb.50.13748

Cited by 6 publications

(2 citation statements)

References 12 publications

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“…Since the discovery of HTSC's, numerous authors have calculated properties of the ideal FLL from anisotropic London theory: The energy and symmetry of the FLL (Campbell et al 1988, Sudbø 1992, Daemen et al 1992; the local magnetic field (Barford and Gunn 1988, Thiemann et al 1988, Grishin et al 1990; the magnetic stray field of a straight flux line parallel to the surface (Kogan et al 1992) and tilted to the surface (Kogan et al 1993a); the isolated vortex (Klemm 1988, Sudbø et al 1993; the elastic shear moduli (Kogan and Campbell 1989, Grishin et al 1992, Barford and Harrison 1994; magnetization curves (Kogan et al 1988, Hao et al 1991; and the magnetization in inclined field (Kogan 1988, Buzdin and Simonov 1991, Hao 1993, which causes a mechanical torque from which the anisotropy ratio Γ can be obtained (Farrell et al 1988, Farrell 1994, Martinez et al 1992. The modification of the flux-line interaction near a flat surface was calculated for isotropic superconductors by Brandt (1981a) and for anisotropic superconductors by Marchetti (1992).…”

Section: Anisotropic London Theorymentioning

confidence: 99%

The flux-line lattice in superconductors

1995

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Magnetic flux can penetrate a type-II superconductor in form of Abrikosov vortices (also called flux lines, flux tubes, or fluxons) each carrying a quantum of magnetic flux φ 0 = h/2e. These tiny vortices of supercurrent tend to arrange in a triangular flux-line lattice (FLL) which is more or less perturbed by material inhomogeneities that pin the flux lines, and in high-T c superconductors (HTSC's) also by thermal fluctuations. Many properties of the FLL are well described by the phenomenological Ginzburg-Landau theory or by the electromagnetic London theory, which treats the vortex core as a singularity. In Nb alloys and HTSC's the FLL is very soft mainly because of the large magnetic penetration depth λ: The shear modulus of the FLL is c 66 ∼ 1/λ 2 , and the tilt modulus c 44 (k) ∼ (1 + k 2 λ 2 ) −1 is dispersive and becomes very small for short distortion wavelength 2π/k ≪ λ. This softness is enhanced further by the pronounced anisotropy and layered structure of HTSC's, which strongly increases the penetration depth for currents along the c-axis of these (nearly uniaxial) crystals and may even cause a decoupling of two-dimensional vortex lattices in the Cu-O layers. Thermal fluctuations and softening may "melt" the FLL and cause thermally activated depinning of the flux lines or of the two-dimensional "pancake vortices" in the layers. Various phase transitions are predicted for the FLL in layered HTSC's. Although large pinning forces and high critical currents have been achieved, the small depinning energy so far prevents the application of HTSC's as conductors at high temperatures except in cases when the applied current and the surrounding magnetic field are small.

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Section: Anisotropic London Theorymentioning

confidence: 99%

The flux-line lattice in superconductors

1995

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“…It can also lead to coexistence of different vortex orientations [13], or to sharp 'lock--in' of vortices along the basal plane in layered materials [14,4,5]. Furthermore, the demagnetization effect due to the platelet shape, typical for anisotropic high--Tc crystals, introduces an additional constraint in the vortex orientation confining them along the c--axis or near the ab--plane depending on the applied field direction [11,15]. Also, counter--intuitively, the field of vortices tilted from the anisotropy axis becomes inverted at some distance from the core causing the attraction of parallel vortices in the tilt plane resulting in the formation of dense vortex chains within a dilute Abrikosov lattice [10,16,17].…”

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confidence: 99%