Majorana approach to the stochastic theory of line shapes

Yashar Komijani and Piers Coleman
Phys. Rev. B 94, 085113 – Published 8 August 2016

Abstract

Motivated by recent Mössbauer experiments on strongly correlated mixed-valence systems, we revisit the Kubo-Anderson stochastic theory of spectral line shapes. Using a Majorana representation for the nuclear spin we demonstrate how to recast the classic line-shape theory in a field-theoretic and diagrammatic language. We show that the leading contribution to the self-energy can reproduce most of the observed line-shape features including splitting and line-shape narrowing, while the vertex and the self-consistency corrections can be systematically included in the calculation. This approach permits us to predict the line shape produced by an arbitrary bulk charge fluctuation spectrum providing a model-independent way to extract the local charge fluctuation spectrum of the surrounding medium. We also derive an inverse formula to extract the charge fluctuation from the measured line shape.

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  • Received 18 April 2016
  • Revised 11 July 2016

DOI:https://doi.org/10.1103/PhysRevB.94.085113

©2016 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Yashar Komijani* and Piers Coleman

  • Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854, USA

  • *komijani@physics.rutgers.edu

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Issue

Vol. 94, Iss. 8 — 15 August 2016

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