Analytical results in coherent quantum transport for periodic quantum dot

TL;DR

This paper provides an analytical study of electron transport in a periodic quantum dot system, deriving key properties like Green's function, density of states, and conductance, revealing how these depend on system parameters.

Contribution

It offers the first complete analytical calculations of Green's function, density of states, and conductance for a periodic quantum dot in ballistic transport regime.

Findings

Derived the Green's function and density of states analytically.

Calculated the conductance and its dependence on system parameters.

Identified the quasi gap and bound state energies in the system.

Abstract

In this paper we have calculated electron transport coefficient in ballistic regime through a periodic dot sandwiched between uniform leads. We have calculated the Green's function (GF), density of states (Dos) and the coherent transmission coefficient (conductance) fully analytically. The quasi gap, bound states energies, the energy and wire-length dependence of the GF and conductance for this system are also derived.