Polarons and Bipolarons: An Introduction

BASIC POLARON CONCEPTS. Qualitative Picture. CONTINUUM POLARON. The Frohlich Hamiltonian. Exactly Soluble Polaron Models. Weak and Intermediate Coupling Solutions of the Frohlich Hamiltonian. Strong-Coupling Solutions of the Frohlich Hamiltonian. Path Integral Solutions of the Frohlich Hamiltonian. Green Function Theories for the Frohlich Polaron. Optical Absorption by Polarons. The Bound Polaron Problem. Polarons at Finite Temperature. Magneto-Optics of Polarons. Instabilities in the Polaron Models. The Acoustic Polaron. The Piezoelectric Polaron. Optical Bipolarons. POLARONS IN ARBITRARY DIMENSIONS AND IN CONFINED SYSTEMS. Polarons in Two Dimensions and at Surfaces. Multi-Dimensional Polarons and Bipolarons. Polarons in Confined Geometries. Polarons in a Quantum Dot in the Presence of a Magnetic Field. Bipolarons in Quantum Dots and Wires. Luttinger Liquid with Polaronic Interactions. POLARON IN TIGHT-BINDING MODELS. Small Polaron. Polaron in a Single-Impurity Anderson-Holstein Model. A Few More Polaron Models of Interest.