Multi-terminal quantum transport through a single benzene molecule: Evidence of a Molecular Transistor

TL;DR

This paper investigates multi-terminal quantum transport in a benzene molecule, demonstrating its potential as a molecular transistor, with detailed analysis of conductance, reflection, and current-voltage characteristics influenced by magnetic flux and coupling.

Contribution

It introduces the concept of a molecular transistor based on a benzene molecule with three terminals, analyzed through a tight-binding model and Green's function formalism.

Findings

Benzene molecule can function as a transistor in a three-terminal setup.

Transport properties depend on molecular coupling strength and magnetic flux.

The study provides a framework for electron transport in complex multi-terminal quantum systems.

Abstract

We explore multi-terminal quantum transport through a benzene molecule threaded by an Aharonov-Bohm flux $\phi$. A simple tight-binding model is used to describe the system and all the calculations are done based on the Green's function formalism. With a brief description of two-terminal quantum transport, we present a detailed study of three-terminal transport properties through the benzene molecule to reveal the actual mechanism of electron transport. Here we numerically compute the multi-terminal conductances, reflection probabilities and current-voltage characteristics in the aspects of molecular coupling strength and magnetic flux $\phi$. Most significantly we observe that, the molecular system where the benzene molecule is attached to three terminals can be operated as a transistor, and we call it a molecular transistor. This aspect can be utilized in designing nano-electronic circuits and our investigation may provide a basic framework to study electron transport in any complicated multi-terminal quantum system.