First-principles generation of Stereographic Maps for high-field magnetoresistance in normal metals: an application to Au and Ag

TL;DR

This paper introduces a first-principles method to generate Stereographic Maps for high-field magnetoresistance in metals, enabling direct comparison between experimental data and theoretical predictions, demonstrated on Au and Ag.

Contribution

The paper develops a novel computational approach to produce Stereographic Maps from a metal's Fermi Surface using the Lifshitz model and recent mathematical advances.

Findings

Successfully generated Stereographic Maps for Au and Ag

Validated the method with a toy model

Provides a new tool for analyzing high-field magnetoresistance data

Abstract

About thirty high-field magnetoresistance Stereographic Maps have been measured for metals between Fifties and Seventies but no way was known till now to compare these complex experimental data with first-principles computations. We present here the method we developed to generate Stereographic Maps directly from a metal's Fermi Surface, based on the Lifshitz model and the recent advances by S.P. Novikov and his pupils. As an application, we test the method with an interesting toy model and then with Au and Ag.