Next-generation Codes for Excited States and Response Functions Real-space and Real-time
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Next-generation Codes for Excited States and Response Functions Real-space and Real-time J. J. Rehr Department of Physics, University of Washington Seattle, WA, USA *Supported by the DOE and the DOE CMSN Code Development Goals • Predict excited state and response properties over the full spectrum of energies, length, & time scales: X-ray spectra, optical response, vibrations, time-dependent phenomena, transport, … • Key issues: Physics beyond independent particle approximation in real-space, real-time, finite-temperature … Excitation spectra: inelastic losses, satellite, multiplets, … Strategy • Develop user-friendly theoretical tools linking Excited state properties to existing ground state codes DFT + GW- BSE, RT-TDDFT, DFT/MD, … • Applications – – – – X-ray Spectroscopies (XAS, EXAFS, XES, RIXS, XMCD, …) Optical response Relativistic Electron Energy Loss Spectra (EELS) Real-time linear and non-linear response No single code has these capabilities! Linked-codes FEFF9 + ABINIT , GAUSSIAN , VASP , ORCA • → → → → Real-space Green’s function code – full spectrum response X-ray Spectra: XAS, EELS, NRIXS, XMCD, Optical constants, scattering factors ... Real-time: DFT/MD, ab initio Debye-Waller factors • AI2NBSE / OCEAN (NBSE + ABINIT + MPSE) → User-friendly GW/BSE code for optical / core response • TD-SIESTA ( Crank-Nicolson + SIESTA ) Real-time TDDFT → linear & non-linear response FEFF9 Parameter free RSGF theory JJR et al., Comptes Rendus Physique 10, 548 (2009) in Theoretical Spectroscopy L. Reining (Ed) (2009) JFEFF – JAVA GUI Ex post facto self-energy corrections OCEAN + MPSE PARATEC + MPSE X-ray-Optical Absorption Spectra (XAS) fcc Al arXiv:cond-mat/0601242 http://leonardo.phys.washington.edu/feff/opcons UV X-ray Photon energy (eV) Excitations in Condensed Matter: From Basic Concepts to Real Materials Real-time approaches for linear and nonlinear optical & xray response J. J. Rehr, Y.Takimoto, and F. Vila Department of Physics University of Washington Seattle, WA USA Time (s) FEFF + DFT/MD RT - SIESTA KITP, UCSB November 17, 2009 That’s all folks! NRIXS and EELS S(q,ω) FEFF8-NRIXS J.A.Soininen, A.L. Ankudinov, JJR Phys. Rev. B 72, 045136 (2005) Finite q No selection rules – need all multipoles! Expt BSE* feff(q) * back Electron energy loss spectra (EELS) -Im ε-1 fcc Al UV X-ray Photon energy (eV) FEFF + ABINIT F. Vila (UW) Phonons + IR 2 i 0 coth D jl , j 'l ' 2 2 2 2 Q D Qi i d 1 2E m j m j ' 1 2 u jl u j 'l ' 6 step Lanczos recursion Dynamical Matrix from ABINIT/Gau ssian03