Fano resonances in a three-terminal nanodevice

TL;DR

This paper investigates electron transport in a three-terminal quantum nanodevice, revealing Fano resonances and their collapse, and extends the analysis to a two-terminal device with a gate lead, providing explicit transmission formulas.

Contribution

It provides an explicit formula for transmission in a three-terminal quantum system and analyzes Fano resonance behavior, including collapse conditions, in such nanodevices.

Findings

Detection of asymmetric Fano resonances in transmission

Identification of resonance collapse conditions

Additional resonances introduced by the gate lead

Abstract

The electron transport through a quantum sphere with three one-dimensional wires attached to it is investigated. An explicit form for the transmission coefficient as a function of the electron energy is found from the first principles. The asymmetric Fano resonances are detected in transmission of the system. The collapse of the resonances is shown to appear under certain conditions. A two-terminal nanodevice with an additional gate lead is studied using the developed approach. Additional resonances and minima of transmission are indicated in the device.