Explicit Methods to Calculate Electronic Structures

Periodic Systems

Group Theory

LCAO, OPW and Mixed-Basis Approaches

Pseudopotential Approach

APW Method

KKR, LMTO and ASW Methods

Some General Remarks




Perturbation and Linear Response

Effective-Mass Tensor

Dielectric Response

Magnetic Susceptibility

Chemical Shift

Phonon Spectrum

Electrical Conductivity

Thermal Conductivity

Time-Dependent Density Functional Theory

Dynamical Mean Field Theory, Density Matrix Renormalization Theory, and Tensor Network




Ab Initio Molecular Dynamics

  • the Born–Oppenheimer (BO) adiabatic approximation

Car–Parrinello Method

Steepest Descent, Conjugate Gradient, and Block Davidson Methods

Formulation with Plane Wave Basis

Formulation with Other Bases

Application to Fullerene Systems

Application to Point Defects in Crystals

Application to Other Systems

Coherent Potential Approximation (CPA)




Quasiparticle Theory and Green’s Function Methods

Quasiparticle (QP) Theory

Green’s Function Formalism

GW Approximation

Exchange and Coulomb Holes

Vertex Correction

Inclusion of Ladder Diagrams

Further Remarks: Cusp Condition and Parquet Diagrams

 

 

 


Reference
  1. Thermodynamics
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