Quantized Conductance by Accelerated Electrons

Summary

The study derives the quantized conductance from accelerated electrons in a homogeneous electric field, considering the traveling time and number of electrons in a one-dimensional region. The model attributes the finite conductance to the finite time required for ballistic electrons to travel a finite length, with no Joule heat dissipation.

Highlights

• Quantized conductance is derived from accelerated electrons in a homogeneous electric field.
• The model considers the traveling time and number of electrons in a one-dimensional region.
• Finite conductance arises from the finite time required for ballistic electrons to travel a finite length.
• No Joule heat dissipation occurs in this model.
• The study discusses the relationship between the non-equilibrium source-drain bias and the wavenumber in a one-dimensional conductor.
• The model explains the wavelength of coherent electron flows emitted from a quantum point contact.
• The anomalous 0.7 2e2/h conductance plateau is attributed to the perturbation gap at the crossing point of the wavenumber-direction-splitting dispersion relation.

Key Insights

• The accelerated electron model provides a new understanding of quantized conductance, differing from the Landauer formula and Drude model. The model's assumptions and derivations offer a fresh perspective on the underlying physics.
• The study highlights the importance of considering the initial conditions for one-dimensional conduction, including the range of wavenumbers and the electrostatic potential for a two-dimensional plane with a narrow constriction.
• The model's ability to explain the 0.7 anomaly and the observed node spacings in coherent electron flows from quantum point contacts demonstrates its potential to address long-standing questions in the field.
• The discussion on Joule heat dissipation and the reinterpretation of the electrical power P=J2/G provide valuable insights into the underlying mechanisms of conduction.
• The study's findings on the relationship between the non-equilibrium voltage and the wavenumber, as well as the quadratic dispersion relation, offer a deeper understanding of the physics involved.
• The model's application to quantum point contacts in two-dimensional systems and the discussion on the spin-orbit interaction and Zeeman splitting provide a comprehensive understanding of the phenomena.
• The study's conclusions on the 0.7 anomaly and the perturbation gap at the crossing point of the wavenumber-direction-splitting dispersion relation offer a new perspective on this long-standing puzzle.

Mindmap

Citation

Terasawa, D. (2023). Quantized Conductance by Accelerated Electrons (Version 2). arXiv. https://doi.org/10.48550/ARXIV.2306.17518