TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.14.3.051
TI  - On the intrinsic pinning and shape of charge-density waves in 1D Peierls systems
PY  - 2023/03/28
UR  - https://scipost.org/SciPostPhys.14.3.051
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 14
IS  - 3
SP  - 051
A1  - Cépas, Olivier
AU  - Quémerais, Pascal
AB  - Within the standard perturbative approach of Peierls, a charge-density wave is usually assumed to have a cosine shape of weak amplitude. In nonlinear physics, we know that waves can be deformed. What are the effects of the nonlinearities of the electron-lattice models in the physical properties of Peierls systems? We study in details a nonlinear discrete model, introduced by Brazovskii, Dzyaloshinskii and Krichever. First, we recall its exact analytical solution at integrable points. It is a cnoidal wave, with a continuous envelope, which may slide over the lattice potential at no energy cost, following Fröhlich's argument. Second, we show numerically that integrability-breaking terms modify some important physical properties. The envelope function may become discontinuous: electrons form stronger chemical bonds which are local dimers or oligomers. We show that an Aubry transition from the sliding phase to an insulating pinned phase occurs when the model is no longer integrable.
ER  -

@Article{10.21468/SciPostPhys.14.3.051,
	title={{On the intrinsic pinning and shape of charge-density waves in 1D Peierls systems}},
	author={Olivier Cépas and Pascal Quémerais},
	journal={SciPost Phys.},
	volume={14},
	pages={051},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.14.3.051},
	url={https://scipost.org/10.21468/SciPostPhys.14.3.051},
}