Quantum pinch effect

TL;DR

This paper explores the quantum pinch effect in a cylindrical quantum plasma within semiconducting wires, revealing unique density and current behaviors that could enable precise nanoscale electronic devices.

Contribution

It provides an exact analytical solution demonstrating the quantum pinch effect in a quantum wire, highlighting differences from classical behavior and potential technological applications.

Findings

Particle and current densities have a maximum before decreasing at the wire surface.

The quantum pinch effect persists as long as the pair density is maintained.

The system offers a platform for nanoscale particle beam control.

Abstract

We investigate a two-component, cylindrical, quasi-one-dimensional quantum plasma subjected to a {\em radial} confining harmonic potential and an applied magnetic field in the symmetric gauge. It is demonstrated that such a system as can be realized in semiconducting quantum wires offers an excellent medium for observing the quantum pinch effect at low temperatures. An exact analytical solution of the problem allows us to make significant observations: surprisingly, in contrast to the classical pinch effect, the particle density as well as the current density display a {\em determinable} maximum before attaining a minimum at the surface of the quantum wire. The effect will persist as long as the equilibrium pair density is sustained. Therefore, the technological promise that emerges is the route to the precise electronic devices that will control the particle beams at the nanoscale.