Electrical resistivity in 2d Kondo lattice systems

TL;DR

This paper extends resistivity calculations in Kondo lattice systems from 3D to 2D, revealing different temperature-dependent behaviors in resistivity at low and high temperatures.

Contribution

It introduces a 2D analysis of resistivity in Kondo lattice systems, highlighting differences from 3D results and computing the memory function for the 2D case.

Findings

In 2D, resistivity follows a 1/T power law at low temperatures.

In 2D, resistivity varies linearly with temperature at high temperatures.

Results differ from 3D systems, which show different temperature dependencies.

Abstract

I extend the calculations represented in \cite{konav} regarding the resistivity in Kondo lattice materials from $3d$ syatem to $2d$ systems. In the present work I consider a 2d system, and memory function is computed. However, results found in 2d case are different from 3d system . I find that in $2d$ in low temperature regime($ k_{B}T\ll \mu_d$) resistivity shows power law($\frac{1}{T}$) behaviour and in the high temeprature regime($ k_{B}T\gg\mu_d$) resistivity varies linearly with temperature. In $3d$ these behaviours are as $\frac{1}{T}$ and as $T^{\frac{3}{2}}$ respectively.