Disordered crystals from first principles II: Transport coefficients

T. D. Kühne, J. Heske, E. Prodan, Annals of Physics 421 (2020) 168290.

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Abstract
This is the second part of a project on the foundations of first-principle calculations of the electron transport in crystals at finite temperatures, aiming at a predictive first-principles platform that combines ab-initio molecular dynamics (AIMD) and a finite-temperature Kubo-formula with dissipation for thermally disordered crystalline phases. The latter are encoded in an ergodic dynamical system (Ω,G,dP), where Ω is the configuration space of the atomic degrees of freedom, G is the space group acting on Ω and dP is the ergodic Gibbs measure relative to the G-action. We first demonstrate how to pass from the continuum Kohn–Sham theory to a discrete atomic-orbitals based formalism without breaking the covariance of the physical observables w.r.t. (Ω,G,dP). Then we show how to implement the Kubo-formula, investigate its self-averaging property and derive an optimal finite-volume approximation for it. We also describe a numerical innovation that made possible AIMD simulations with longer orbits and elaborate on the details of our simulations. Lastly, we present numerical results on the transport coefficients of crystal silicon at different temperatures.
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Annals of Physics
Volume
421
Page
168290
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D. Kühne T, Heske J, Prodan E. Disordered crystals from first principles II: Transport coefficients. Annals of Physics. 2020;421:168290. doi:https://doi.org/10.1016/j.aop.2020.168290
D. Kühne, T., Heske, J., & Prodan, E. (2020). Disordered crystals from first principles II: Transport coefficients. Annals of Physics, 421, 168290. https://doi.org/10.1016/j.aop.2020.168290
@article{D. Kühne_Heske_Prodan_2020, title={Disordered crystals from first principles II: Transport coefficients}, volume={421}, DOI={https://doi.org/10.1016/j.aop.2020.168290}, journal={Annals of Physics}, author={D. Kühne, Thomas and Heske, Julian and Prodan, Emil}, year={2020}, pages={168290} }
D. Kühne, Thomas, Julian Heske, and Emil Prodan. “Disordered Crystals from First Principles II: Transport Coefficients.” Annals of Physics 421 (2020): 168290. https://doi.org/10.1016/j.aop.2020.168290.
T. D. Kühne, J. Heske, and E. Prodan, “Disordered crystals from first principles II: Transport coefficients,” Annals of Physics, vol. 421, p. 168290, 2020.
D. Kühne, Thomas, et al. “Disordered Crystals from First Principles II: Transport Coefficients.” Annals of Physics, vol. 421, 2020, p. 168290, doi:https://doi.org/10.1016/j.aop.2020.168290.

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