English

Phase-Sensitive Impurity Effects in Vortex Core of Moderately Clean Chiral Superconductors

Superconductivity 2009-10-31 v1

Abstract

We study impurity effects in vortex core of two-dimensional moderately clean su perconductors within the quasiclassical theory. The impurity scattering rate \Gamma(E)\G amma(E) of the Andreev bound states in vortex core with +1 vorticity of p-wav e superconductors with \mibd=\mibz^(px+\iupy){\mib d}=\hat{\mib z}(p_x+\iu p_y) is suppre ssed, compared to the normal state scattering rate Γn\Gamma_{\rm n} in the energ y region Γn3/Eδ2EEδδ0Δ\infty\Gamma_{\rm n}^3/E_\delta^2\ll E\ll E_\delta\equiv |\delta_0|\Delta_\i nfty with scattering phase shift δ0\delta_0 (δ01)(|\delta_0|\ll 1) and the pair-po tential in bulk Δ\Delta_\infty. Further we find that Γ(E)/Γn\Gamma(E)/\Gamma_{\rm n} for p-wave superconductors with \mibd=\mibz^(px\iupy){\mib d}=\hat{\mib z}(p_x-\iu p_y) is at most O(E/Δ\infty){\cal O}(E/\Delta_\i nfty). These results are in marked contrast to the even-parity case (s,d-wave), where Γ(E)/Γn\Gamma(E)/\Gamma_{\rm n} is known to be proportional to ln(Δ\infty/E)\ln(\Delta_\i nfty/E) . Parity- and chirality-dependences of impurity effects are attributed to the Andr eev reflections involved in the impurity-induced scattering between bound states . Implications for the flux flow conductivity is also discussed. Novel enhanceme nt of flux flow conductivity is expected to occur at TEδT\ll E_\delta for \mibd=\mibz^(px+\iupy){\mib d}=\hat{\mib z}(p_x+\iu p_y) and at TΔT\ll \Delta_\infty for \mibd=\mibz^(px\iupy){\mib d}=\hat{\mib z}(p_x-\iu p_y).

Keywords

Cite

@article{arxiv.cond-mat/0009296,
  title  = {Phase-Sensitive Impurity Effects in Vortex Core of Moderately Clean Chiral Superconductors},
  author = {Yusuke Kato},
  journal= {arXiv preprint arXiv:cond-mat/0009296},
  year   = {2009}
}

Comments

9 pages, No figures, To appear in JPSJ Vol. 69, No. 10 (2000)