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
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Physics 250-06 “Advanced Electronic Structure” Lecture 7.1. Response to Time-Dependent Fields Contents: 1. Time-Dependent DFT and Linear Response. 2. Response.
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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
TD-DFT.
TD-DFT.
TD-DFT.
Linear Response Theory within TD-DFT.
Linear Response Theory within TD-DFT.
Adiabatic LDA.
Response to Time Dependent Magnetic Field.
Variational Linear Rsponse.
Variational Linear Response.
Sternheimer Equations.
Dynamical Spin Susceptibility of Fe.
Dynamical Spin Susceptibility of Ni.
Dynamical Spin Susceptibility of Cr.
Response to Electric Fields.
Similar Discussion can be consdered:
General Difficulty: non-periodic potential, when q->0 itproduces infinite field.
Static limit in insulators determines static dielectric constant 0.
Response to Electromagnetic Fields.
Transverse response to
0
0
( , ) exp( )
( , ) exp( )
E r t E ikr t
B r t B ikr t
Transverse dielectric function is determined as follows