Effect of Friedel oscillations on Capacity of Tunnel Junction

TL;DR

This paper investigates how Friedel oscillations, caused by charge density fluctuations, affect the electrostatic capacity of tunnel junctions, especially under external magnetic fields, revealing a decrease in capacity and magnetic field-induced quantum corrections.

Contribution

It provides a theoretical analysis of Friedel oscillations' impact on tunnel junction capacity within the RPA framework, including magnetic field effects.

Findings

Friedel oscillations decrease the total electrostatic capacity.

External magnetic fields increase quantum corrections to capacity.

Theoretical expressions for potential behavior are derived.

Abstract

Effect of long range charge density oscillations on capacity of tunnel structure is studied within random phase approximation (RPA). Using this approximation we obtain expressions for the short and the long distance behavior of the self-consistent screened potential. We demonstrate that long range density oscillation, commonly referred to as Friedel oscillations, leads to decreasing of total electrostatic capacity. Particular emphasis has been placed on influence of an external magnetic field is applied perpendicular to the barrier plane on the capacity of a structure. It is shown that increasing of magnetic field implies an increase of quantum correction to capacity due to Friedel oscillations.