Densities of states in isolated flux vortices in superconductors

The densities of states of quasiparticles in isolated flux vortices in clean limit superconductors have been calculated for various kappa , using an extension of calculations by Bardeen et al. (1969). Results similar to the dirty limit calculations of Watts-Tobin et al (1973) were found, with the density per unit length at zero energy varying from 4 pi xi 2n(0) at low kappa to 7 eta xi 2n(0) at kappa =30, where xi is the coherence length and n(0) the one-electron density of states per unit volume at the Fermi surface. Experimental studies of the density N(E) as a function of energy were performed by tunnelling on thin films of Pb, Sn and Al at less than 0.1K. Good agreement was found between the experimental and theoretical reduced densities N(E)/N(0). The absolute magnitude of N(0) was, however, too small by a factor of about 5.

[1]  W. Band,et al.  Calculation of tunnel current due to vortex core excitations in clean superconductors , 1974 .

[2]  R. Watts-tobin,et al.  Density of states, entropy, and specific heat for dirty type II superconductors at arbitrary temperature , 1974 .

[3]  R. Watts-tobin,et al.  Density of states in dirty type II superconductors near Tc , 1974 .

[4]  L. Kramer,et al.  Local structure and thermodynamic properties of clean type II superconductors nearHc1 at arbitrary temperature , 1974 .

[5]  K. Gray.  Transition from type I to type II behavior and the density of states in thin indium films , 1974 .

[6]  L. Kramer,et al.  Core structure and low-energy spectrum of isolated vortex lines in clean superconductors atT ≪Tc , 1974 .

[7]  R. Watts-tobin,et al.  Local structure and thermodynamic behavior of dirty superconductors in the mixed state at arbitrary temperature , 1974 .

[8]  W. Band,et al.  Tunneling between superconductors in the vortex state , 1973 .

[9]  R. Watts-tobin,et al.  Calculation of the vortex structure in a superconducting alloy , 1973 .

[10]  J. Silcox,et al.  Critical Thicknesses in Superconducting Thin Films , 1973 .

[11]  L. Kramer,et al.  Isolated vortex structure and the lower critical field for clean type II superconductors far from Tc , 1973 .

[12]  H. Ullmaier,et al.  Local magnetic field distributions in superconducting niobium at 4.2 K by neutron diffraction , 1972 .

[13]  G. Cody,et al.  MAGNETIC TRANSITIONS OF SUPERCONDUCTING THIN FILMS AND FOILS. III. Pb, Sn, AND In. , 1972 .

[14]  J. Delrieu.  Singularities in the magnetic field map of type II pure superconductors , 1972 .

[15]  A. Kung.  Temperature dependence of the magnetic field at a vortex center in type-II superconducting vanadium by NMR , 1970 .

[16]  K. Usadel,et al.  GENERALIZED DIFFUSION EQUATION FOR SUPERCONDUCTING ALLOYS. , 1970 .

[17]  J. Bardeen,et al.  Structure of vortex lines in pure superconductors , 1969 .

[18]  F. Brochard,et al.  Electron-tunneling study of the fluxoid structure in thin superconducting films , 1969 .

[19]  A. Baratoff,et al.  Superconducting Thin Film in a Magnetic Field—Theory of Nonlocal and Nonlinear Effects. I. Specular Reflection , 1968 .

[20]  A. Redfield,et al.  Nuclear Spin—Spin Relaxation in Superconducting Mixed-State Vanadium , 1967 .

[21]  P. Hohenberg,et al.  Mixed state of thin superconducting films in perpendicular fields , 1967 .

[22]  K. Maki.  Theory of Pure Type-II Superconductors in High Magnetic Fields. II. Ultrasonic Attenuation , 1967 .

[23]  G. Lasher,et al.  MIXED STATE OF TYPE-I SUPERCONDUCTING FILMS IN A PERPENDICULAR MAGNETIC FIELD. , 1967 .

[24]  R. Radebaugh,et al.  Low-Temperature Thermodynamic Properties of Vanadium. II. Mixed State , 1966 .

[25]  Z. Dokoupil,et al.  On the specific heat of niobium in the mixed state at temperatures far below the transition temperature , 1964 .

[26]  J. Pearl,et al.  CURRENT DISTRIBUTION IN SUPERCONDUCTING FILMS CARRYING QUANTIZED FLUXOIDS , 1964 .

[27]  C. P. Bean,et al.  Magnetization of High-Field Superconductors , 1964 .

[28]  M. Tinkham,et al.  Effect of Fluxoid Quantization on Transitions of Superconducting Films , 1963 .

[29]  D. Douglass.  Magnetic Field Dependence of the Superconducting Penetration Depth in Thin Specimens , 1961 .