Polaron catastrophe within quantum acoustics
arXiv:2411.19788 · doi:10.1073/pnas.2426518122
Abstract
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.
13 pages, 5 figures
References in corpus (39)
- The transient localization scenario for charge transport in crystalline organic materials
- Froehlich Polaron and Bipolaron: Recent Developments
- Universal -linear resistivity and Planckian limit in overdoped cuprates
- Transient localization in crystalline organic semiconductors
- Non-equilibrium quantum dynamics and formation of the Bose polaron
- Constant effective mass across the phase diagram of high-T cuprates
- Variational Study of Fermionic and Bosonic Systems with Non-Gaussian States: Theory and Applications
- Light Bipolarons Stabilized by Peierls Electron-Phonon Coupling
- Quantum interference and phonon-mediated back-action in lateral quantum dot circuits
- Polarons in two-dimensional atomic crystals
- Quantum Lissajous Scars
- Branched Flow
- Theory of excitonic polarons: From models to first-principles calculations
- Dynamical variational approach to Bose polarons at finite temperatures
- Room temperature wavelike exciton transport in a van der Waals superatomic semiconductor
- Controllable quantum scars in semiconductor quantum dots
- From Efimov Physics to the Bose Polaron using Gaussian States
- Thermal Diffusivity Above Mott-Ioffe-Regel Limit
- An all-coupling theory for the Fröhlich polaron
- Phonon-mediated non-equilibrium interaction between nanoscale devices
- Spatiotemporal evolution of polaronic states in finite quantum systems
- Polaron formation: Ehrenfest dynamics vs. exact results
- Phonon-mediated repulsion, sharp transitions and (quasi)self-trapping in the extended Peierls-Hubbard model
- On the dynamics of polarons in the strong-coupling limit
- Fröhlich polaron effective mass and localization length in cubic materials: degenerate and anisotropic electronic bands
- Peierls versus Holstein models for describing electron-phonon coupling in perovskites
- Numerically Exact Generalized Green's Function Cluster Expansions for Electron-Phonon Problems
- Low temperature acoustic polaron localization
- Coherent charge carrier dynamics in the presence of thermal lattice vibrations
- Transient localization from the interaction with quantum bosons
- Landau-Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron
- Phase diagram for strong-coupling Bose polarons
- Variational approaches to quantum impurities: from the Fröhlich polaron to the angulon
- Derivation of the Landau-Pekar equations in a many-body mean-field limit
- Quantum-Acoustical Drude Peak Shift
- Quantum acoustics unravels Planckian resistivity
- Schroedinger Correspondence Applied to Crystals
- Chaos-Assisted Dynamical Tunneling in Flat Band Superwires
- Rise and Fall of Anderson Localization by Lattice Vibrations: A Time-Dependent Machine Learning Approach