Ground state properties of multi-polaron systems

2012/09/17 by Frank, Rupert L., Lieb, Elliott H., Seiringer, Robert +1
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Strongly Correlated Electrons (cond-mat.str-el)

paper · doi:10.48550/arxiv.1209.3717

Abstract

We summarize our recent results on the ground state energy of multi-polaron systems. In particular, we discuss stability and existence of the thermodynamic limit, and we discuss the absence of binding in the case of large Coulomb repulsion and the corresponding binding-unbinding transition. We also consider the Pekar-Tomasevich approximation to the ground state energy and we study radial symmetry of the ground state density.

Related

• On the Strong Coupling Limit of Many-Polaron Systems in Electromagnetic\n Fields
• The ground state energy of a polaron in a strong magnetic field
• Weak coupling limit for the ground state energy of the 2D Fermi polaron
• The breakdown of adiabatic polaron theory in one, two, and three dimensions and the reformation of the large polaron concept
• Pekar's Ansatz and the Ground-State Symmetry of a Bound Polaron