Thermoelectric effects in selfsimilar multibarrier structure based on monolayer graphene

TL;DR

This paper investigates selfsimilar patterns in the thermoelectric properties of monolayer graphene-based structures using quantum relativistic equations, revealing scale invariances and selfsimilarity that could inform thermoelectric device development.

Contribution

It introduces a novel analytical demonstration of selfsimilarity in thermoelectric effects of graphene structures and establishes general scaling rules based on these invariances.

Findings

Discovery of selfsimilar behavior in thermoelectric properties

Identification of scale factors between generations

Analytical demonstration of selfsimilarity in Seebeck coefficient

Abstract

Thermoelectric effects have attracted wide attention in recent years from physicists and engineers. In this work, we explore the selfsimilar patterns in the thermoelectric effects of monolayer graphene based structures, by using the quantum relativistic Dirac equation. The transfer matrix method has been used to calculate the transmission coefficient. The Landauer Buttiker formalism and the Cutler Mott formula were used to calculate the conductance, the Seebeck coefficient, and the power factor. We find selfsimilar behavior and the scale factors between generations in the transport and thermoelectric properties. Furthermore, we implement these scale invariances as general scaling rules. We present a new analytical demonstration of selfsimilarity in the Seebeck coefficient. These findings can open outstanding perspectives for experimentalists to develop thermoelectric devices.