Trion polaron problem in bulk and two-dimensional materials

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Main Authors: Shahnazaryan, V., Kudlis, A., Varga, K., Shelykh, I. A., Tokatly, I. V.
Format: Preprint
Published: 2025
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author Shahnazaryan, V.
Kudlis, A.
Varga, K.
Shelykh, I. A.
Tokatly, I. V.
author_facet Shahnazaryan, V.
Kudlis, A.
Varga, K.
Shelykh, I. A.
Tokatly, I. V.
contents We develop a microscopic theoryof the trion polaron: a bound state of two electrons and one hole, dressed by longitudinal optical (LO) phonons. Starting from the Frohlich Hamiltonian, which describes the interaction of charged particles with LO phonons in three-dimensional (bulk) and two-dimensional (monolayer) polar crystals, we adopt the intermediate coupling variational approximation of Lee, Low, and Pines, and generalize it for the three-body problem. This yields an effective three-particle Hamiltonian with renormalized electron-electron and electron-hole interactions, similar to those obtained for exciton polaron and bipolaron problems. We compute the binding energies for a family of bulk perovskite materials and several atomic monolayer materials characterized by pronounced polar effects, providing quantitative benchmarks for spectroscopic measurements.
format Preprint
id arxiv_https___arxiv_org_abs_2508_14756
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Trion polaron problem in bulk and two-dimensional materials
Shahnazaryan, V.
Kudlis, A.
Varga, K.
Shelykh, I. A.
Tokatly, I. V.
Materials Science
Mesoscale and Nanoscale Physics
We develop a microscopic theoryof the trion polaron: a bound state of two electrons and one hole, dressed by longitudinal optical (LO) phonons. Starting from the Frohlich Hamiltonian, which describes the interaction of charged particles with LO phonons in three-dimensional (bulk) and two-dimensional (monolayer) polar crystals, we adopt the intermediate coupling variational approximation of Lee, Low, and Pines, and generalize it for the three-body problem. This yields an effective three-particle Hamiltonian with renormalized electron-electron and electron-hole interactions, similar to those obtained for exciton polaron and bipolaron problems. We compute the binding energies for a family of bulk perovskite materials and several atomic monolayer materials characterized by pronounced polar effects, providing quantitative benchmarks for spectroscopic measurements.
title Trion polaron problem in bulk and two-dimensional materials
topic Materials Science
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2508.14756