Thermal and electrical properties of a solid through Fibonacci oscillators

TL;DR

This paper explores how q-deformed Fibonacci oscillators can model the impact of disorder and impurities on the thermal and electrical properties of crystalline solids, using Einstein and Debye models.

Contribution

It introduces a novel q-deformed algebra approach with two parameters to describe the effects of disorder and impurities on solid properties.

Findings

q-deformation modifies thermal and electrical conductivities

Adjusting deformation parameters models impurity effects

Potential to tailor material properties via deformation parameters

Abstract

We investigate the thermodynamics of a crystalline solid applying q-deformed algebra of Fibonacci oscillators through the generalized Fibonacci sequence of two real and independent deformation parameters q1 and q2. We based part of our study on both Einstein and Debye models, exploring primarily (q1,q2)-deformed thermal and electric conductivities as a function of Debye specific heat. The results revealed that q-deformation acts as a factor of disorder or impurity, modifying the characteristics of a crystalline structure. Specially, one may find the possibility of adjusting the Fibonacci oscillators to describe the change of thermal and electrical conductivities of a given element as one inserts impurities. Each parameter can be associated to different types of deformations such as disorders and impurities.