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  • 1
    Electronic Resource
    Electronic Resource
    Mutual inductance of superconducting thin films (2001)
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 89 (2001), S. 5570-5577 
    Details
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: We consider the concentric, two-coil mutual inductance technique. Highly accurate approximations for the complex-valued mutual inductance of thin film superconductors in the Meissner state are derived. The ratio of the mutual inductance in the superconducting state M to the mutual inductance in the normal state M0 is derived for axisymmetric geometry and evaluated in limiting cases. This ratio is characterized not only by the two-dimensional screening length but by a combination of the macroscopic lengths of the coil geometry. The results have practical application for the electromagnetic response of superconducting thin films. Subsets of the results are relevant for inverting the mutual inductance to recover the penetration depth absolutely, and in studying the proximity effect. © 2001 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1363687
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  • 2
    Electronic Resource
    Electronic Resource
    Inverse magnetic force microscopy of superconductors in half-space geometry (2000)
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 87 (2000), S. 392-398 
    Details
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A key step in an inversion algorithm to recover the penetration depth λ for a superconductor in the Meissner state from one-dimensional magnetic force microscopy (MFM) data is demonstrated numerically. The profile λ(z) is found as a function of distance z into a superconducting half space. The algorithm reduces the inversion to the solution of a nonlinear system of ordinary differential equations of first order. A precursor inverse Laplace transformation of the MFM force data as a function of height gives a kernel function K which provides the initial conditions for integrating the nonlinear system. The results show that the penetration depth can be reconstructed to increasing distances within the sample as the size of the truncation of the nonlinear system is increased. Analytic results for the force function for the examples are also presented. © 2000 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.371873
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  • 3
    Electronic Resource
    Electronic Resource
    Determining the permeability of a half space of linear magnetic material by magnetic force microscopy (1999)
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 86 (1999), S. 3917-3925 
    Details
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A fundamental inversion problem for the magnetic force microscopy (MFM) of a semiinfinite linear magnetic material is formulated. The solution is developed for a general applied field in the upper half space. Static conditions are assumed so that a magnetic scalar potential can be employed. By specializing to a point-source model for the MFM tip, it is shown how the magnetic permeability μ(z) depending only upon the vertical coordinate can be recovered from one-dimensional force measurements. The inversion procedure uses a wave number-dependent kernel function K(k), which is analogous to a surface impedance ratio. A numerical example illustrates the process of obtaining μ(z) from the kernel function. The inversion results describe the use of MFM data to extract a material property as a function of depth. © 1999 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.371308
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  • 4
    Electronic Resource
    Electronic Resource
    Theory for coil impedance of a conducting half space: Analytic results for eddy current analysis (2001)
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 89 (2001), S. 2473-2481 
    Details
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The general formulation of the coil impedance of a conducting but nonmagnetic half space is examined. An intermediate kernel function is used to recast the theory in a form which gives a fuller physical interpretation and at the same time provides avenues for the solution of the ill-conditioned inverse conductivity problem. In particular, reflection and transmission coefficients depending upon the kernel function are introduced, which yield expressions for the induced and penetration fields, respectively. Correspondences between the forward and inverse conductivity problems, and problems in the London theory of superconductivity for the penetration depth, are established. The use of the kernel function aids in the development of analytic expressions for the single- and multiturn coil impedance and their instance for a half space of constant conductivity. Analytic results are obtained for various integral representations for both general and special impedance cases. © 2001 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1340002
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  • 5
    Electronic Resource
    Electronic Resource
    Analyzing mutual inductance measurements to determine the London penetration depth (2000)
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 87 (2000), S. 4344-4351 
    Details
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The mutual inductance of a superconducting slab of infinite extent, in the Meissner state, with both point dipole and circular-current-loop applied magnetic fields, is examined. The effect of a distinct, constant permeability of the slab is considered and the full mutual inductance and various approximations are obtained. Closed form representations are also found for an inductance per length factor which has proven useful in inductance data inversion in order to obtain an absolute measurement of the London penetration depth. © 2000 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.373076
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  • 6
    Electronic Resource
    Electronic Resource
    Logarithmically perturbed two dimensional oscillator model of a quantum-dot nanostructure (2002)
    Woodbury, NY : American Institute of Physics (AIP)
    Applied Physics Letters 80 (2002), S. 1219-1221 
    Details
    ISSN: 1077-3118
    Source: AIP Digital Archive
    Topics: Physics
    Notes: We present a logarithmically perturbed two-dimensional isotropic oscillator model of a quantum-dot nanostructure. The logarithmic potential has an ionic line charge physical origin. We estimate the magnitude of this line charge and we obtain the matrix elements required by perturbation theory. The measured ground-state energy depression for a GaAs/AlGaAs/InGaAs heterostructure can be quantitatively accounted for by the model (although not uniquely). We include the effects of nonzero angular momentum states, which play a significant role in determining the dot current–voltage curves. We mention the immediate selection rule imposed by a perturbing potential of rotational symmetry, together with further analytic results. © 2002 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1448663
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  • 7
    Electronic Resource
    Electronic Resource
    Levitation Force Between a Point Magnetic Dipole and Superconducting Sphere (2000)
    Springer
    Journal of superconductivity 13 (2000), S. 381-388 
    Details
    ISSN: 1572-9605
    Keywords: magnetic force microscopy ; Meissner state ; inverse problem ; penetration depth ; London theory ; point dipole ; levitation force ; scalar potential ; vector potential ; method of images
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology , Physics
    Notes: Abstract The magnetic interaction between a point dipole and a superconducting sphere in the Meissner state is investigated in detail. It is demonstrated that the special case of perfect flux exclusion can be solved by the method of images when the dipole is vertically magnetized. The incorporation of a nonzero penetration depth is then made by developing the solution within London theory. The analytic solution, given in terms of an infinite series representation, is refined by exactly summing the perfectly diamagnetic response. Throughout, special cases of physical interest are discussed and applications to magnetic force microscopy and levitation are described.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1007742723114
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  • 8
    Electronic Resource
    Electronic Resource
    On the deficiency of the fluxon mass derived from the lattice elastic energy (1995)
    Springer
    Journal of low temperature physics 98 (1995), S. 159-166 
    Details
    ISSN: 1573-7357
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Inadequacies of a result for the fluxon mass per unit length m derived from the nonlocal elasticity of the flux line lattice are discussed. Unusual properties of m are pointed out, including a divergent temperature dependence, showing the need to replace this quantity and the associated viscosity in dynamical expressions. An Appendix illustrates one of many alternative fluxon masses and viscosities, the electromagnetic contribution of AJ fluxons.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00753611
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  • 9
    Electronic Resource
    Electronic Resource
    Aspects of a deformable superconductor model for the vortex mass (1994)
    Springer
    Journal of low temperature physics 96 (1994), S. 81-89 
    Details
    ISSN: 1573-7357
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A deformable superconductor model for the vortex mass per unit length μd in a type-II superconductor is discussed. A new identity for the inertial vortex mass in this model is presented which holds for an arbitrary quasiparticle fraction when the ionic displacement is irrotational. This result is used to show unphysical behavior in the temperature dependence of the ionic-strain-field vortex mass and is key in resolving this difficulty. A possibility for the experimental observation of the strain field mechanism is discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00760810
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  • 10
    Electronic Resource
    Electronic Resource
    On a deformable superconductor model for the vortex viscoelastic drag coefficient (1994)
    Springer
    Journal of low temperature physics 97 (1994), S. 181-188 
    Details
    ISSN: 1573-7357
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A deformable superconductor model for a velocity-dependent vortex visco-elastic drag coefficient is discussed. New integral identities for energy dissipation are derived, avoiding previously employed approximations. This approach provides a suitable basis for further extension and improvement of the deformable superconductor model.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00752984
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