Spectral engineering and tunable thermoelectric behavior in a quasiperiodic ladder network

TL;DR

This paper investigates how spectral properties and thermoelectric behavior in a quasiperiodic copper mean ladder network can be engineered through parameter correlations, leading to tunable and potentially highly efficient thermoelectric devices.

Contribution

It demonstrates that specific parameter correlations in a quasiperiodic ladder can modify the spectral nature and thermoelectric properties, enabling deliberate engineering of energy bands and transport characteristics.

Findings

Spectral nature can be modified to produce absolutely continuous energy spectra.

Atypical extended states with large localization lengths are observed.

Thermoelectric coefficients can be tuned via parameter correlations.

Abstract

Double stranded quasiperiodic copper mean arrangement has been studied in respect of their electronic property and thermoelectric signature. The two-arm network is demonstrated by a tight binding Hamiltonian. The eigenspectrum of such aperiodic mesh that does not convey translational invariance, is significantly dependent on the parameters of the Hamiltonian. It is observed that specific correlation between the parameters obtained from the commutation relation between the on-site energy and overlap integral matrices can eventually modify the spectral nature and generate absolutely continuous energy spectrum. This part is populated by atypical extended states that has a large localization length substantiated by the flow of the hopping integral under successive real space renormalization group method steps. This sounds delocalization of single particle energy states in such nontranslationally invariant networks. Further this can be engineered at will by selective choice of the relative strengths of the parameters. This precise correlation has a crucial impact on the thermoelectric behavior. Anomalous nature of thermoelectric coefficient may inspire the experimentalists to frame tunable thermodevices. Specific correlations can help us to tune the continuous band and determine the band position at will.