Electron transport through a circular constriction

Abstract

We calculate the conductance of a circular constriction of radius $a$ in an insulating diaphragm which separates two conducting half-spaces characterized by the mean free path $\ell$. Our exact result interpolates between the Maxwell conductance in diffusive ($\ell \ll a$) and the Sharvin conductance in ballistic ($\ell \gg a$) transport regime. Following the earlier approach of Wexler we find the explicit form of the Green's function for the linearized Boltzmann operator. The formula for the conductance deviates by less than 11% from the naive interpolation formula obtained by adding resistances in the diffusive and the ballistic regime.

9 pages, 3 figures

Cited by in corpus (26)

• Spintronics: Fundamentals and applications
• Imaging mesoscopic spin Hall flow: Spatial distribution of local spin currents and spin densities in and out of multiterminal spin-orbit coupled semiconductor nanostructures
• Analysis of Point-contact Andreev Reflection Spectra in Spin Polarization Measurements
• Metal-insulator transition in films of doped semiconductor nanocrystals
• Measurements of Spin Polarization of Epitaxial SrRuO3 Thin Films
• Maxwell-Hall access resistance in graphene nanopores
• Electron cooling by diffusive normal metal - superconductor tunnel junctions
• Which Kubo formula gives the exact conductance of a mesoscopic disordered system?
• Passive Intermodulation at Contacts of Rough Conductors
• Andreev reflection in ferrimagnetic CoFe2O4/SrRuO3 spin filters
• Quantum transport in ballistic conductors: evolution from conductance quantization to resonant tunneling
• Nonequilibrium electron cooling by NIS tunnel junctions
• Equilibrium Properties of Double-Screened-Dipole-Barrier SINIS Josephson Junctions
• Golden aspect ratio for ion transport simulation in nanopores
• Nanoscale spin-polarization in dilute magnetic semiconductor (In,Mn)Sb
• Dielectric Constant and Charging Energy in Array of Touching Nanocrystals
• Heat transfer in granular media with weakly interacting particles
• Electrical current-driven pinhole formation and insulator-metal transition in tunnel junctions
• Increase of Thermal Resistance Between a Nanostructure and a Surface due to Phonon Multireflections
• Experimental verification of contact-size estimates in point-contact spectroscopy on superconductor/ferromagnet heterocontacts
• Steplike electric conduction in a classical two-dimensional electron system through a narrow constriction in a microchannel
• A model for critical current effects in point-contact Andreev-reflection spectroscopy
• Effect of transport-induced charge inhomogeneity on point-contact Andreev reflection spectra at ferromagnet-superconductor interfaces
• Amplitude Nanofriction Spectroscopy
• Quantum transport through mesoscopic disordered interfaces, junctions, and multilayers
• Influence of structural deformations on the reentrant conductance feature in semiconducting nanowires