Coherent resistance of a disordered 1D wire: Expressions for all moments and evidence for non-Gaussian distribution
P. Vagner, P. Markos, M. Mosko, Th. Schaepers
Abstract
We study coherent electron transport in a one-dimensional wire with disorder modeled as a chain of randomly positioned scatterers. We derive analytical expressions for all statistical moments of the wire resistance ρ. By means of these expressions we show analytically that the distribution P(f) of the variable f=(1+ρ) is not exactly Gaussian even in the limit of weak disorder. In a strict mathematical sense, this conclusion is found to hold not only for the distribution tails but also for the bulk of the distribution P(f).
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.