Optimized Peltier cooling via an array of quantum dots with stair-like ground-state energy configuration

TL;DR

This paper proposes an optimized Peltier cooling method using an array of quantum dots with stair-like energy levels, enhancing cooling efficiency by tuning the number of stages and matching phonon energies.

Contribution

It introduces a novel quantum dot array configuration with stair-like energy levels for improved thermoelectric cooling performance.

Findings

Maximum cooling power is optimized by adjusting the number of quantum dot stages.

Optimal cooling power is relatively insensitive to phonon energy and stage number when phonon energy is below kT.

The concept can be extended to 2D or bulk structures with stair-like energy configurations.

Abstract

With the advancement in fabrication and scaling technology, the rising temperature in nano devices has attracted special attention towards thermoelectric or Peltier cooling. In this paper, I propose optimum Peltier cooling by employing an array of connected quantum dots with stair-like ground-state eigen energy configuration. The difference in ground state eigen energy between two adjacent quantum dots in the stair-like configuration is chosen to be identical with the optical phonon energy for efficient absorption of lattice heat. I show that in the proposed configuration, for a given optical phonon energy, one can optimize the cooling power by tuning the number of stages in the array of quantum dots. A further analysis demonstrates that the maximum cooling power at a given potential bias under optimal conditions doesnot depend strongly on the optical phonon energy or the number of stages at which the maximum cooling power is achieved, provided that the optical phonon energy is less than $kT$. The proposed concept can also be applied to $2-D$ or bulk resonant tunnel and superlattice structures with stair-like resonant energy configuration.