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Updated: Jun 8, 2026

Probe Type II Band Alignment in One-Dimensional Van Der Waals Heterostructures Using First-Principles Calculations
Published on: October 12, 2019
Bipolaron and N-polaron binding energies
Rupert L Frank1, Elliott H Lieb, Robert Seiringer
1Department of Mathematics, Princeton University, Washington Road, Princeton, New Jersey 08544, USA. rlfrank@math.princeton.edu
Abstract:
The binding of polarons, or its absence, is an old and subtle topic. Here we prove two things rigorously. First, the transition from many-body collapse to the existence of a thermodynamic limit for N polarons occurs precisely at U=2α, where U is the electronic Coulomb repulsion and α is the polaron coupling constant. Second, if U is large enough, there is no multipolaron binding of any kind. Considering the known fact that there is binding for some U>2α, these conclusions are not obvious and their proof has been an open problem for some time.
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