Localized states near the Abrikosov vortex core in type-II superconductors within zero-range potential model
Аннотация:
We propose to treat the lowest bound states near the Abrikosov vortex core in type-II superconductors on the basis of the self-adjoint extension of the Hamiltonian of Aharonov-Bohm type with the localized magnetic flux. It is shown that the Hamiltonian for the excitations near the vortex core can be treated in terms of the generalized zero-range potential method when the magnetic field penetration depth δ is much greater than the coherence length ξ i.e. in the limit κ = δ/ξ ≫ 1. In addition, it is shown that in this limit it is the singular behavior of d∆/dr| r=0 and not the details of the order parameter ∆(r) profile that is important. In support of the proposed model, we reproduce the spectrum of the Caroli-de Gennes-Matricon states and provide direct comparison with the numerical calculations of Hayashi, N. et al. [Phys. Rev. Lett. 80, p. 2921 (1998)]. In contrast to the empirical formula for the energy of the ground state in Hayashi, N. we use no fitting parameter. The parameters for the boundary conditions are determined in a self-consistent manner with Caroli-de Gennes-Matricon formula.
Ключевые слова:
Постоянный URL
Статьи в номере
- Topological damping of Aharonov-Bohm effect: quantum graphs and vertex conditions
- Storage and separation of CO2 and CH4 in boron imidazolate frameworks: a theoretical study from Monte Carlo simulation
- Modeling of the kinetics of reactive diffusion of gallium in copper particles
- From metamaterials to metasurfaces and metadevices
- Synthesis of copper nanoparticles for use in an optical initiation system
- Statistical mechanics of transport processes of fluids under confined conditions
- Neutron scattering from graphene oxide paper and thermally exfoliated reduced graphene oxide
- Classical density functional approach to adsorption of hydrogen in carbon materials
- Synthesis of silver nanoparticles in DMSO solutions of starch: a comparative investigation of native and soluble starches
- Morphological memory of polymeric bodies
- Chemostimulating effect of mixture and separate evaporation of manganese (IV) oxide compositions with lead (II) oxide and vanadium (V) oxide on GaAs thermal oxidation
- Mass transport properties of water soluble light fullerene tris-malonate — C60 [= C(COOH)2]3 in aqueous solutions
- Atomic order and metallic nanoclusters in Na4Ir3O8