Friedel phases and phases of transmission amplitudes in quantum scattering systems

Article Article scientifique Article Friedel phases and phases of transmission amplitudes in quantum scattering systems eng 1999 author Taniguchi Tooru 512369 author Buttiker Markus 92975 Markus Buettiker 13814-13823 10.1103/PhysRevB.60.13814 1098-0121 cond-mat/9906431 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. Condensed matter Dewey 500.2 37 Département de physique théorique 133 false Physical review. B, Condensed matter and materials physics 60 19 89042723-5c22-47d5-b58a-c00e7d76930a Article Public file1.pdf 286316 application/pdf openAccess Faculté des sciences / Section de physique / Département de physique théorique

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Friedel phases and phases of transmission amplitudes in quantum scattering systems	Physical review. B, Condensed matter and materials physics			1999	697	639

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Taniguchi, Tooru