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English

Friedel phases and phases of transmission amplitudes in quantum scattering systems

Contributors

Taniguchi, Tooru; Buttiker, Markus

Published in

Physical review. B, Condensed matter and materials physics, vol. 60, no. 19, p. 13814-13823

Publication date

1999

Abstract

We illustrate the relation between the scattering phase appearing in the Friedel sum rule and the phase of the transmission amplitude for quantum scatterers connected to two one-dimensional leads. Transmission zero points cause abrupt phase changes +/-π of the phase of the transmission amplitude. In contrast, the Friedel phase is a continuous function of energy. We investigate these scattering phases for simple scattering problems and illustrate the behavior of these models by following the path of the transmission amplitude in the complex plane as a function of energy. We verify the Friedel sum rule for these models by direct calculation of the scattering phases and by direct calculation of the density of states.

Keywords

  • Condensed matter

UNIGE affiliation entities

Citation (ISO format)

TANIGUCHI, Tooru, BUTTIKER, Markus. Friedel phases and phases of transmission amplitudes in quantum scattering systems. In: Physical review. B, Condensed matter and materials physics, 1999, vol. 60, n° 19, p. 13814–13823. doi: 10.1103/PhysRevB.60.13814

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Article

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Journal ISSN

1098-0121
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Technical informations

Creation

30/11/2009 15:07:35

First validation

30/11/2009 15:07:35

Update

14/03/2023 15:18:06

Status update

14/03/2023 15:18:06

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