Polaron with quadratic electron-phonon interaction

Stefano Ragni, Thomas Hahn, Zhongjin Zhang, Nikolay Prokof'ev, Anatoly Kuklov, Serghei Klimin, Matthew Houtput, Boris Svistunov, Jacques Tempere, Naoto Nagaosa, Cesare Franchini, Andrey S. Mishchenko

Publications: Contribution to journalArticlePeer Reviewed

Abstract

We present a numerically exact study of a polaron with quadratic coupling to the oscillator displacement, or X2 polaron, using two alternative methodological developments. Our results cover both antiadiabatic and adiabatic regimes and the entire range of electron-phonon coupling g2, from the system's stability threshold at attractive g2=-1 to arbitrary strong repulsion at g2≫1. The key properties of X2 polarons prove dramatically different from their linear counterparts. They (i) are insensitive even to large quadratic coupling except in the antiadiabatic limit near the threshold of instability at attraction, (ii) depend only on the adiabatic ratio but are insensitive to the electron dispersion and dimension of space, and (iii) feature weak lattice deformations even at the instability point. Our results are of direct relevance to the properties of electrons at low densities in polar materials, including recent proposals for their superconducting states.
Original languageEnglish
Article numberL121109
Number of pages5
JournalPhysical Review B
Volume107
Issue number12
DOIs
Publication statusPublished - 15 Mar 2023

Austrian Fields of Science 2012

  • 103015 Condensed matter
  • 103018 Materials physics

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