English

General solution to the Kohn-Luttinger nonconvergence problem

Statistical Mechanics 2022-06-16 v3 Quantum Physics

Abstract

A simple, but general solution is proposed for the Kohn-Luttinger problem, i.e., the nonconvergence of the finite-temperature many-body perturbation theory with its zero-temperature counterpart as temperature is lowered to zero under some circumstances. How this nonconvergence can be avoided by altering the reference wave function is illustrated numerically by using up to the fifth order of the perturbation theory.

Keywords

Cite

@article{arxiv.2201.04839,
  title  = {General solution to the Kohn-Luttinger nonconvergence problem},
  author = {So Hirata},
  journal= {arXiv preprint arXiv:2201.04839},
  year   = {2022}
}
R2 v1 2026-06-24T08:48:36.839Z