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Improved Coupled Reservoir Model for Inelastic Scattering in One-Dimensional Mesoscopic Metal Rings
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DING Hong-Sheng;CHEN Geng-Hua;ZHAO Shi-Ping;YANG Qian-Sheng |
Institute of Physics and Center for Condensed Matter Physics,
Chinese Academy of Sciences, Beijing 100080
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Cite this article: |
DING Hong-Sheng, CHEN Geng-Hua, ZHAO Shi-Ping et al 2002 Chin. Phys. Lett. 19 550-552 |
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Abstract In order to strictly solve the problem of persistent current in one-dimensional mesoscopic metal rings, a model with a perfect ring coupled to an external reservoir by a four-lead junction is introduced to independently describe inelastic scattering. The junction is expressed by a 4 x 4 S-matrix, which is very similar to that used by Büttiker in sequential tunneling. Since the S-matrix is unitary, the current conservation keeps automatically. Since the quadruplet of the matrix problem can be reduced into two topologically separate doublets, it gives a simple and elegant method compared with the former description with 3 x 3 matrix.
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Keywords:
73.23.Ra
75.20.En
73.23.-b
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Published: 01 April 2002
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