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English

Friedel phases and phases of transmission amplitudes in quantum scattering systems

Published inPhysical review. B, Condensed matter and materials physics, vol. 60, no. 19, p. 13814-13823
Publication date1999
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
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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ISSN of the journal1098-0121
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