Multiset Matrix Product State Calculations Reveal Mobile Franck-Condon Excitations Under Strong Holstein-Type Coupling

Benedikt Kloss, David R. Reichman, and Roel Tempelaar
Phys. Rev. Lett. 123, 126601 – Published 16 September 2019
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Abstract

We show that the dynamics of (vertical) Franck-Condon excitations in the regime where Holstein-coupled vibrational modes mix strongly with electronic degrees of freedom sharply contrasts with the known self-localized behavior of vibrationally relaxed excitations. Instead, the strongly coupled modes are found to periodically induce resonances between interacting electronic sites, during which effective excitation transfer occurs, allowing Franck-Condon excitations to attain substantial mean square displacements under conditions where relaxed excitations are essentially trapped to a single site. In demonstrating this behavior, we employ a multiset matrix product state formalism. We find this tensor network state method to be a remarkably efficient and accurate approach for the notoriously difficult problem posed by the Holstein model in the regime where the electronic coupling, the vibrational quantum, and the vibrational reorganization energy are comparable in magnitude.

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  • Received 20 December 2018

DOI:https://doi.org/10.1103/PhysRevLett.123.126601

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsAtomic, Molecular & Optical

Authors & Affiliations

Benedikt Kloss*, David R. Reichman, and Roel Tempelaar

  • Department of Chemistry, Columbia University, 3000 Broadway, New York, New York 10027, USA

  • *bk2576@columbia.edu
  • r.tempelaar@gmail.com

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Issue

Vol. 123, Iss. 12 — 20 September 2019

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