Anderson localization of polaron states

Abstract

Using the vanishing of the typical polaron tunneling rate as an indicator of the breakdown of itinerancy, we study the localization of polaron states in a generic model for a disordered polaronic material. We find that extremely small disorder causes an Anderson localization of small polaron states. However, the ratio between the critical disorder strength needed to localize all states in the polaron band and the renormalized bandwidth is not necessarily smaller than for a bare electron.

4 pages, 3 figures

References in corpus (1)

• Dynamics of a single electron in the disordered Holstein model

Cited by in corpus (18)

• Distribution of the local density of states as a criterion for Anderson localization: Numerically exact results for various lattices in two and three dimensions
• Polarons and slow quantum phonons
• Trapping of three-dimensional Holstein polarons by various impurities
• Unusual localisation effects in quantum percolation
• Localization of Large Polarons in the Disordered Holstein Model
• Holstein polaron in the presence of disorder
• Trapping of lattice polarons by impurities
• Metal-Insulator Transition and Emergent Gapped Phase in the Surface-Doped 2D Semiconductor 2H-MoTe${}_2$
• Charge Density Wave and Superconductivity in the Disordered Holstein Model
• Phonon affected transport through molecular quantum dots
• Comparative numerical study of Anderson localization in disordered electron systems
• Anderson localization versus charge-density-wave formation in disordered electron systems
• A perturbational study of the lifetime of a Holstein polaron in the presence of weak disorder
• Thermodynamic properties of Holstein polarons and the effects of disorder
• Diffusion and localization in quantum random resistor networks
• Effect of different site energies on polaronic properties
• Electron transport in the Anderson model
• Disorder Suppression of Charge Density Waves in the Honeycomb Holstein Model