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Phys. Rev. B 61, 8667–8670 (2000)

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

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Jian-Xin Zhu
Texas Center for Superconductivity and Department of Physics, University of Houston, Houston, Texas 77204

T. K. Lee
Institute of Physics, Academia Sinica, Nankang, Taipei 11529, Taiwan, Republic of China
National Center for Theoretical Sciences, P.O. Box 2-131 Hsinchu, Taiwan 300, Republic of China

C. S. Ting
Texas Center for Superconductivity and Department of Physics, University of Houston, Houston, Texas 77204
National Center for Theoretical Sciences, P.O. Box 2-131, Hsinchu, Taiwan 300, Republic of China

Chia-Ren Hu
Department of Physics, Texas A&M University, College Station, Texas 77843

Received 14 September 1999; published in the issue dated 1 April 2000

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.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.61.8667
DOI:
10.1103/PhysRevB.61.8667
PACS:
74.25.Jb, 73.20.Hb, 74.50.+r