Floquet theory for the electronic stopping of projectiles in solids
作者： Emilio Artacho , Nicolò Forcellini
DOI: 10.1103/PHYSREVRESEARCH.2.033151
关键词: Jellium 、 Materials science 、 Classical mechanics 、 Homogeneous space 、 Ideal (order theory) 、 Particle 、 Projectile 、 Trajectory 、 Floquet theory 、 Diagonal
摘要: A general theoretical framework for the study of electronic stopping particle projectiles in crystalline solids is proposed. It neither relies on perturbative or linear response approximations, nor an ideal metal host. Instead, it exploits discrete translational symmetries a space-time diagonal determined by projectile with constant velocity moving along trajectory periodicity. This allows characterisation (stroboscopically) stationary solutions, means Floquet theory time-periodic systems. Previous and non-linear jellium models are recovered from this theory. An analysis threshold effect insulators presented based quasi-energy conservation.
arxiv.org
sci-hub.st 参考文章(58)
Peter Sigmund, Particle Penetration and Radiation Effects ,(2006)
Eleftherios N. Economou, Green's functions in quantum physics ,(1979)
C P Race, D R Mason, M H F Foo, W M C Foulkes, A P Horsfield, A P Sutton, Quantum-classical simulations of the electronic stopping force and charge on slow heavy channelling ions in metals. Journal of Physics: Condensed Matter. ,vol. 25, pp. 125501- ,(2013) , 10.1088/0953-8984/25/12/125501
Milena Grifoni, Peter Hänggi, Driven quantum tunneling Physics Reports. ,vol. 304, pp. 229- 354 ,(1998) , 10.1016/S0370-1573(98)00022-2
V. U. Nazarov, J. M. Pitarke, Y. Takada, G. Vignale, Y.-C. Chang, Including nonlocality in the exchange-correlation kernel from time-dependent current density functional theory: Application to the stopping power of electron liquids Physical Review B. ,vol. 76, pp. 205103- ,(2007) , 10.1103/PHYSREVB.76.205103
M. Ahsan Zeb, J. Kohanoff, D. Sánchez-Portal, A. Arnau, J. I. Juaristi, Emilio Artacho, Electronic Stopping Power in Gold: The Role of d Electrons and the H/He Anomaly Physical Review Letters. ,vol. 108, pp. 225504- ,(2012) , 10.1103/PHYSREVLETT.108.225504
J. M. Pruneda, D. Sánchez-Portal, A. Arnau, J. I. Juaristi, Emilio Artacho, Electronic Stopping Power in LiF from First Principles Physical Review Letters. ,vol. 99, pp. 235501- ,(2007) , 10.1103/PHYSREVLETT.99.235501
P.M. Echenique, R.M. Nieminen, R.H. Ritchie, Density functional calculation of stopping power of an electron gas for slow ions Solid State Communications. ,vol. 37, pp. 779- 781 ,(1981) , 10.1016/0038-1098(81)91173-X
K. Schönhammer, Nonlinear friction in a homogenous electron gas: Exact results. Physical Review B. ,vol. 37, pp. 7735- 7737 ,(1988) , 10.1103/PHYSREVB.37.7735
L. Bönig, K. Schönhammer, Time-dependent local perturbation in a free-electron gas: Exact results Physical Review B. ,vol. 39, pp. 7413- 7423 ,(1989) , 10.1103/PHYSREVB.39.7413