The Effect of an Anisotropic Scattering Rate on the Magnetoresistance of a Metal: A Cuprate-Inspired Analysis

Giovanni Mirarchi; Sergio Caprara

doi:10.20944/preprints202410.0135.v1

Preprint Article Version 1 This version is not peer-reviewed

Version 1 : Received: 1 October 2024 / Approved: 2 October 2024 / Online: 2 October 2024 (11:08:30 CEST)

Inspired by the phenomenology of high-critical-temperature superconducting cuprates, we investigate the effect of an anisotropic scattering rate on the magnetoresistance of a metal, relying on Chambers’ solution to the Boltzmann equation. We find that if the scattering rate is enhanced near points of the Fermi surface with a locally higher density of states, an extended regime is found magnetoresistance that varies linearly with the magnetic field. We then apply our results to fit the experimental magnetoresistence of La1.6-xNd0.4SrxCuO4 and speculate about the possible source of anisotropic scattering.

Magnetoresistance; anomalous metals; high-critical-temperature superconducting cuprates

Physical Sciences, Condensed Matter Physics

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The Effect of an Anisotropic Scattering Rate on the Magnetoresistance of a Metal: A Cuprate-Inspired Analysis

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