Solution of the Holstein polaron anisotropy problem
arXiv:0803.3425 · doi:10.1103/PhysRevB.78.165106
Abstract
We study Holstein polarons in three-dimensional anisotropic materials. Using a variational exact diagonalization technique we provide highly accurate results for the polaron mass and polaron radius. With these data we discuss the differences between polaron formation in dimension one and three, and at small and large phonon frequency. Varying the anisotropy we demonstrate how a polaron evolves from a one-dimensional to a three-dimensional quasiparticle. We thereby resolve the issue of polaron stability in quasi-one-dimensional substances and clarify to what extent such polarons can be described as one-dimensional objects. We finally show that even the local Holstein interaction leads to an enhancement of anisotropy in charge carrier motion.
6 pages, 7 figures; extended version accepted for publication in Phys. Rev. B
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- Particularities of polaron formation in the extended Holstein model with next nearest neighbor transfer
- Polarons with arbitrary nonlinear electron-phonon interaction
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