# Pattern Formation as a Signature of Quantum Degeneracy in a Cold Exciton System

Source: [Pattern Formation as a Signature of Quantum Degeneracy in a Cold Exciton System](<https://www.sota2.com/research/paper/68fa21907a2b558e29337e94>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T01:31:57.920Z

Authors: L. S. Levitov, B. D. Simons, L. V. Butov

Published: 2004-03-16T20:21:04.000Z

## Abstract

The development of a Turing instability to a spatially modulated state in a photoexcited electron-hole system is proposed as a novel signature of exciton Bose statistics. We show that such an instability, which is driven by kinetics of exciton formation, can result from stimulated processes that build up near quantum degeneracy. In the spatially uniform 2d electron-hole system, the instability leads to a triangular lattice pattern while, at an electron-hole interface, a periodic 1d pattern develops. We analyze the mechanism of wavelength selection, and show that the transition is abrupt (type I) for the uniform 2d system, and continuous (type II) for the electron-hole interface.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0403377>)

[PDF](<https://arxiv.org/pdf/cond-mat/0403377.pdf>)