Hole crystallization in semiconductors
M. Bonitz, V.S. Filinov, V.E. Fortov, P.R. Levashov, and H. Fehske

TL;DR
This paper predicts that in semiconductors with flat valence bands, holes can spontaneously form a regular lattice structure, indicating a new phase transition driven by effective mass ratios.
Contribution
It introduces the concept of hole crystallization in semiconductors and identifies the critical effective mass ratio for this phase transition.
Findings
Holes can order into a lattice in certain semiconductors.
Critical hole to electron effective mass ratio is approximately 80.
Predicts a new phase transition in semiconductor physics.
Abstract
When electrons in a solid are excited to a higher energy band they leave behind a vacancy (hole) in the original band which behaves like a positively charged particle. Here we predict that holes can spontaneously order into a regular lattice in semiconductors with sufficiently flat valence bands. The critical hole to electron effective mass ratio required for this phase transition is found to be of the order of 80.
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