Nuclear Spin Relaxation Rate of Disordered $p_x+ip_y$-wave Superconductors

Details Nuclear Spin Relaxation Rate of Disordered $p_x+ip_y$-wave Superconductors Nuclear Spin Relaxation Rate of Disordered $p_x+ip_y$-wave Superconductors

2003-08-08

arxiv.org/abs/cond-mat/0308160v1

Physics

Condensed Matter

Superconductivity

4 pages, 3 figures

Scientific paper

10.1103/PhysRevB.70.184504

Based on an effective Hamiltonian with the binary alloy disorder model defined in the triangular lattice, the impurity scattering effects on the density of states and especially on the spin-lattice relaxation rate $1/T_1$ of $p_x+ip_y$-wave superconductors are studied by solving numerically the Bogoliubov-de Gennes equations. In the clean limit, the coherence peak of $1/T_1$ is observed as expected. More intriguingly, for strong scattering potential, the temperature dependence of $1/T_1$ exhibits the two different power law behaviors near $T_{\text{c}}$ and at low temperatures, respectively, which is in good agreement with the nuclear quadrupolar resonance measurement.

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