Low temperature acoustic polaron localization

Abstract

We calculate the low temperature properties of an acoustic polaron in three dimensions in thermal equilibrium at a given temperature using a specialized path integral Monte Carlo method. In particular we find numerical evidence that the chosen Hamiltonian for the acoustic polaron describes a phase transition from a localized state to an unlocalized state for the electron as the phonons-electron coupling constant decreases. The phase transition manifests itself with a jump discontinuity in the potential energy as a function of the coupling constant. In the weak coupling regime the electron is in an extended state whereas in the strong coupling regime it is found in a self-trapped state.

8 pages, 1 table, and 2 figures

References in corpus (3)

• Froehlich Polaron and Bipolaron: Recent Developments
• Feynman path-integral treatment of the BEC-impurity polaron
• Free energy of the Fröhlich polaron in two and three dimensions

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• Scaled Affine Quantization of Ultralocal ${\phi }_2^4$ a comparative Path Integral Monte Carlo study with Canonical Quantization
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• Continuum limit of the Green function in scaled affine ${\phi }_4^4$ quantum Euclidean covariant relativistic field theory
• Polaron catastrophe within quantum acoustics
• How should we choose the boundary conditions in a simulation which could detect anyons in one and two dimensions?
• Diagrammatic quantum Monte Carlo study of an acoustic lattice polaron
• Scaled Affine Quantization of ${\phi }_4^4$ in the Low Temperature Limit