Probe-type of superconductivity by impurity in materials with short coherence length: the s-wave and -wave phases study
arXiv:1502.00579 · doi:10.1088/0953-2048/28/4/045022
Abstract
The effects of a single non-magnetic impurity on superconducting states in the Penson-Kolb-Hubbard model have been analyzed. The investigations have been performed within two steps: (i) the homogeneous system is analysed using the Bogoliubov transformation, whereas (ii) the inhomogeneous system is investigated self-consistent Bogoliubova-de Gennes equations (by exact diagonalization and the kernel polynomial method). We analysed both signs of pair hopping, which correspond to s-wave and -wave superconductivity. Our results show that an enhancement of the local superconducting gap at the impurity-site occurs for both cases. We obtained that Cooper pairs are scattered (at the impurity site) into the states which are from the neighborhoods of the states, which are commensurate ones with the crystal lattice. Additionally, in the -phase there are peaks in the local-energy gap (in momentum space), which are connected with long-range oscillations in the spatial distribution of the energy gap, superconducting order parameter as well as effective pairing potential. Our results can be contrasted with the experiment and predicts how to experimentally differentiate these two different symmetries of superconducting order parameter by scanning tunneling microscopy technique.
11 pages, 4 figures
References in corpus (14)
- The Kernel Polynomial Method
- Fulde-Ferrell-Larkin-Ovchinnikov State in Heavy Fermion Superconductors
- Metastable superfluidity of repulsive fermionic atoms in optical lattices
- Chebyshev-BdG: an efficient numerical approach to inhomogeneous superconductivity
- Inhomogeneity-induced enhancement of the pairing interaction in cuprates
- Order N Monte Carlo Algorithm for Fermion Systems Coupled with Fluctuating Adiabatical Fields
- Fulde-Ferrell-Larkin-Ovchinnikov phase in the presence of pair hopping interaction
- Phase separation in a lattice model of a superconductor with pair hopping
- Critical field in a model with local pairs
- Imperfect nanorings with superconducting correlations
- Metastability and phase separation in a simple model of a superconductor with extremely short coherence length
- Some properties of two dimensional extended repulsive Hubbard model with intersite magnetic interactions - a Monte Carlo study
- Superconductivity, metastability and magnetic field induced phase separation in the atomic limit of the Penson-Kolb-Hubbard model
- The magnetic field induced phase separation in a model of a superconductor with local electron pairing