Spectral properties of the 2D Holstein polaron
H. Fehske, J. Loos, G. Wellein

TL;DR
This paper investigates the spectral properties of the 2D Holstein polaron using exact numerical methods and analytical calculations, providing insights into its band structure, quasiparticle weight, and optical response.
Contribution
It offers the first comprehensive numerical and analytical analysis of the 2D Holstein polaron's spectral features, including dispersion and optical properties.
Findings
Exact spectral functions for the 2D Holstein polaron
Derived polaron band dispersion from both numerical and analytical methods
Analyzed optical conductivity and quasiparticle weight
Abstract
The two-dimensional Holstein model is studied by means of direct Lanczos diagonalization preserving the full dynamics and quantum nature of phonons. We present numerical exact results for the single-particle spectral function, the polaronic quasiparticle weight, and the optical conductivity. The polaron band dispersion is derived both from exact diagonalization of small lattices and analytic calculation of the polaron self-energy.
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