Thermal correction to resistivity in dilute 2D systems

TL;DR

This paper calculates the temperature-dependent resistivity of dilute 2D electron systems, revealing its universal behavior and linking giant magnetoresistance to spin and valley splitting, with implications for the metal-insulator transition.

Contribution

It introduces a comprehensive model including thermal effects and degeneracy, providing new insights into resistivity behavior and the thermodynamic nature of the metal-insulator transition in 2D systems.

Findings

Resistivity is a universal function of temperature in 2D systems.

Giant magnetoresistance arises from spin and valley splitting.

Thermodynamic analysis suggests a thermodynamic nature of the metal-insulator transition.

Abstract

We calculate the resistivity of 2D electron (hole) gas, taking into account the degeneracy and the thermal correction due to the combined Peltier and Seebeck effects. The resistivity is found to be universal function of temperature, expressed in units of $\frac{h}{e^{2}} (k_{F}l)^{-1}$. The giant parallel magnetiresistivity found to result from the spin and, if exists, valley splitting of the energy spectrum. Our analysis of compressibility and thermopower points to thermodynamic nature of metal-insulator transition in 2D systems.