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Advanced Electronic Structure: Response to Time-Dependent Fields

Lecture 7.1 delves into the intricacies of time-dependent density functional theory (TD-DFT) and its application to linear response in various magnetic fields. It presents the mathematical foundations of dynamical susceptibilities and explores the optical properties of metals, including Fe, Ni, and Cr. Special emphasis is placed on the interaction with electromagnetic fields and the impacts on optical conductivity and reflectivity. Key concepts include response to electric fields, adiabatic local density approximations, and variations in linear response theory, with a focus on real-world applications in advanced materials.

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Advanced Electronic Structure: Response to Time-Dependent Fields

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  1. Physics 250-06 “Advanced Electronic Structure” Lecture 7.1. Response to Time-Dependent Fields Contents: 1. Time-Dependent DFT and Linear Response. 2. Response to Magnetic Fields and Dynamical Susceptibilities 3. Applications to Fe, Ni, Cr 4. Response to electromagnetic fields: optical properties 5. Optical Properties of Metals and HTSCs

  2. TD-DFT.

  3. TD-DFT.

  4. TD-DFT.

  5. Linear Response Theory within TD-DFT.

  6. Linear Response Theory within TD-DFT.

  7. Adiabatic LDA.

  8. Response to Time Dependent Magnetic Field.

  9. Variational Linear Rsponse.

  10. Variational Linear Response.

  11. Sternheimer Equations.

  12. Dynamical Spin Susceptibility of Fe.

  13. Dynamical Spin Susceptibility of Ni.

  14. Dynamical Spin Susceptibility of Cr.

  15. Response to Electric Fields. Similar Discussion can be consdered: General Difficulty: non-periodic potential, when q->0 it produces infinite field. Static limit in insulators determines static dielectric constant e0.

  16. Response to Electromagnetic Fields. Transverse response to Transverse dielectric function is determined as follows Dispersion relations for the photon in the media

  17. Response to Electromagnetic Fields. Optical Response Functions Optical Conductivity Reflectivity

  18. Optical Properties (Maximov et.al, 1988)

  19. Local Field Effects.

  20. Intraband and Interband Transitions.

  21. Sum Rules.

  22. Optical Properties of Metals.

  23. Optical Properties of Metals: Al and Pd

  24. Optical Properties of Metals: Rh and Mo

  25. Optical Properties of Metals: Nb and Zr

  26. Optical Properties of Metals: Y and Rt

  27. Optical Properties of Metals: Tc and Cr

  28. Optical Properties of Metals: V and Ag

  29. Optical Properties of Metals: Cu and Cd

  30. Optical Properties of Metals.

  31. Optical Properties of Metals.

  32. Optical Properties of YBCO.

  33. Optical Properties of YBCO.

  34. Optical Properties of Metals.

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