Quasiparticle resonant states induced by a unitary impurity in a d-wave superconductor

Jian-Xin Zhu; T. K. Lee; C. S. Ting; Chia-Ren Hu

doi:10.1103/PhysRevB.61.8667

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Quasiparticle resonant states induced by a unitary impurity in a d-wave superconductor

Jian-Xin Zhu, T. K. Lee, C. S. Ting, Chia-Ren Hu

DOI 10.1103/PhysRevB.61.8667 · Physical Review B

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Abstract

The quasiparticle resonant states around a single nonmagnetic impurity with unitary scattering in a d-wave superconductor is studied by solving the Bogoliubov–de Gennes equations based on a t−J model. Both the spatial variation of the order parameter and the local density of states (LDOS) around the impurity have been investigated. We find that (i) a particle-hole symmetric system has a single symmetric zero-energy peak in the LDOS regardless of the size of the superconducting coherence length ξ0; (ii) for the particle-hole asymmetric case, an asymmetric splitting of the zero-energy peak is intrinsic to a system with a small value of kFξ0.