Friedel phases and phases of transmission amplitudes in quantum scattering systems
Tooru Taniguchi, Markus Buttiker
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.
Create a lesson
Related papers
Coherent and ultra-low-power EDSR with a flopping-mode spin qubit in germanium
Alexei Orekhov, Wonjin Jang, Pan Zhang et al.
Disorder-induced modulation of the nonlinear Hall effect in Weyl semimetals
Juan A. Cañas, Daniel A. Bonilla, A. Martín-Ruiz
Coplanar Lateral Gating MoS2 on SrTiO3: A Unified Platform for Classical and Quantum Devices
Prasad Muragesh, Manav Murali, Venkatesha Modur Ramachandra et al.
Predictive Structure to Thermal Conductivity Modeling Framework for BEOL Interconnect Stacks in Advanced Technology Nodes Enabled by Extensive Layer Resolved Thermal Measurements
Zifeng Huang, Yiyang Sun, Tianyu Jia et al.
Plasmons in twisted bilayer graphene across dispersive and flat bands
Antonio Palamara, Michele Pisarra, Antonello Sindona
Highly uniform first-electron position in qubit arrays fabricated on dedicated QSOI(R) 300mm commercial platform
Johan Pelloux-Prayer, Elise Prin, Giselle A. Elbaz et al.