Polaron catastrophe within quantum acoustics

Fuente: arXiv
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Autores principales: Aydin, Alhun, Keski-Rahkonen, Joonas, Graf, Anton M., Yuan, Shaobing, Ouyang, Xiao-Yu, Müstecaplıoğlu, Özgür E., Heller, Eric J.
Formato: Preprint
Publicado: 2024
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author Aydin, Alhun
Keski-Rahkonen, Joonas
Graf, Anton M.
Yuan, Shaobing
Ouyang, Xiao-Yu
Müstecaplıoğlu, Özgür E.
Heller, Eric J.
author_facet Aydin, Alhun
Keski-Rahkonen, Joonas
Graf, Anton M.
Yuan, Shaobing
Ouyang, Xiao-Yu
Müstecaplıoğlu, Özgür E.
Heller, Eric J.
contents The quantum acoustic framework has recently emerged as a non-perturbative, coherent approach to electron-lattice interactions, uncovering rich physics often obscured by perturbative methods with incoherent scattering events. Here, we model the strongly coupled dynamics of electrons and acoustic lattice vibrations within this framework, representing lattice vibrations as coherent states and electrons as quantum wavepackets, in a manner distinctively different from tight-binding or discrete hopping-based approaches. We derive and numerically implement electron backaction on the lattice, providing both visual and quantitative insights into electron wavepacket evolution and the formation of acoustic polarons. We investigate polaron binding energies across varying material parameters and compute key observables, including mean square displacement, kinetic energy, potential energy, and vibrational energy. over time. Our findings reveal the conditions that favor polaron formation, which is enhanced by low temperatures, high deformation potential constants, slow sound velocities, and high effective masses. Additionally, we explore the impact of external electric and magnetic fields, showing that while polaron formation remains robust under moderate fields, it is weakly suppressed at higher field strengths. These results deepen our understanding of polaron dynamics and pave the way for future studies into non-trivial transport behavior in quantum materials.
format Preprint
id arxiv_https___arxiv_org_abs_2411_19788
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Polaron catastrophe within quantum acoustics
Aydin, Alhun
Keski-Rahkonen, Joonas
Graf, Anton M.
Yuan, Shaobing
Ouyang, Xiao-Yu
Müstecaplıoğlu, Özgür E.
Heller, Eric J.
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
The quantum acoustic framework has recently emerged as a non-perturbative, coherent approach to electron-lattice interactions, uncovering rich physics often obscured by perturbative methods with incoherent scattering events. Here, we model the strongly coupled dynamics of electrons and acoustic lattice vibrations within this framework, representing lattice vibrations as coherent states and electrons as quantum wavepackets, in a manner distinctively different from tight-binding or discrete hopping-based approaches. We derive and numerically implement electron backaction on the lattice, providing both visual and quantitative insights into electron wavepacket evolution and the formation of acoustic polarons. We investigate polaron binding energies across varying material parameters and compute key observables, including mean square displacement, kinetic energy, potential energy, and vibrational energy. over time. Our findings reveal the conditions that favor polaron formation, which is enhanced by low temperatures, high deformation potential constants, slow sound velocities, and high effective masses. Additionally, we explore the impact of external electric and magnetic fields, showing that while polaron formation remains robust under moderate fields, it is weakly suppressed at higher field strengths. These results deepen our understanding of polaron dynamics and pave the way for future studies into non-trivial transport behavior in quantum materials.
title Polaron catastrophe within quantum acoustics
topic Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
url https://arxiv.org/abs/2411.19788