Diagrammatic Quantum Monte Carlo for Two-Body Problems: Applied to Excitons

Authors

E Burovski
A Mishchenko
Nikolai Prokof'ev, University of Massachusetts - AmherstFollow
B Svistunov

Publication Date

2001

Journal or Book Title

Physics Review Letters

Abstract

We present a novel method for the precise numeric solution of the irreducible two-body problem and apply it to excitons in solids. The approach is based on the Monte Carlo simulation of the two-body Green function specified by Feynman’s diagrammatic expansion. Our method does not rely on the specific form of the electron and hole dispersion laws and is valid for any attractive electron-hole potential. We establish limits of validity of the Wannier (large radius) and Frenkel (small radius) approximations, present accurate data for the intermediate radius excitons, and give evidence for the charge transfer nature of the monopolar exciton in mixed valence materials.

Comments

This is the pre-published version harvested from ArXiv. The published version is located at http://prl.aps.org/abstract/PRL/v87/i18/e186402

Volume

87

Issue

18

Recommended Citation

Burovski, E; Mishchenko, A; Prokof'ev, Nikolai; and Svistunov, B, "Diagrammatic Quantum Monte Carlo for Two-Body Problems: Applied to Excitons" (2001). Physics Review Letters. 1190.
Retrieved from https://scholarworks.umass.edu/physics_faculty_pubs/1190