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  2. DFTB - Wikipedia

    en.wikipedia.org/wiki/DFTB

    The Density Functional Based Tight Binding method is an approximation to density functional theory, which reduces the Kohn-Sham equations to a form of tight binding related to the Harris functional. The original [ 1 ] approximation limits interactions to a non-self-consistent two center hamiltonian between confined atomic states.

  3. Tight binding - Wikipedia

    en.wikipedia.org/wiki/Tight_binding

    A much simpler interpolation scheme for approximating the electronic band structure, especially for the d-bands of transition metals, is the parameterized tight-binding method conceived in 1954 by John Clarke Slater and George Fred Koster, [1] sometimes referred to as the SK tight-binding method. With the SK tight-binding method, electronic ...

  4. GW approximation - Wikipedia

    en.wikipedia.org/wiki/GW_approximation

    Density functional theory; Time-dependent density functional theory Thomas–Fermi model Orbital-free density functional theory Linearized augmented-plane-wave method Projector augmented wave method: Electronic band structure; Nearly free electron model Tight binding Muffin-tin approximation k·p perturbation theory Empty lattice approximation ...

  5. Embedded atom model - Wikipedia

    en.wikipedia.org/wiki/Embedded_atom_model

    In a simulation, the potential energy of an atom, , is given by [3] = (()) + (), where is the distance between atoms and , is a pair-wise potential function, is the contribution to the electron charge density from atom of type at the location of atom , and is an embedding function that represents the energy required to place atom of type into the electron cloud.

  6. Configuration interaction - Wikipedia

    en.wikipedia.org/wiki/Configuration_interaction

    Orbital-free density functional theory Adiabatic connection fluctuation dissipation theorem Linearized augmented-plane-wave method Projector augmented wave method: Electronic band structure; Nearly free electron model Tight binding Muffin-tin approximation k·p perturbation theory Empty lattice approximation GW approximation Korringa–Kohn ...

  7. Hubbard model - Wikipedia

    en.wikipedia.org/wiki/Hubbard_model

    When the interaction between electrons is strong, the behavior of the Hubbard model can be qualitatively different from a tight-binding model. For example, the Hubbard model correctly predicts the existence of Mott insulators: materials that are insulating due to the strong repulsion between electrons, even though they satisfy the usual ...

  8. Time-dependent density functional theory - Wikipedia

    en.wikipedia.org/wiki/Time-dependent_density...

    The formal foundation of TDDFT is the Runge–Gross (RG) theorem (1984) [1] – the time-dependent analogue of the Hohenberg–Kohn (HK) theorem (1964). [2] The RG theorem shows that, for a given initial wavefunction, there is a unique mapping between the time-dependent external potential of a system and its time-dependent density.

  9. Amsterdam Density Functional - Wikipedia

    en.wikipedia.org/wiki/Amsterdam_Density_Functional

    Amsterdam Density Functional (ADF) is a program for first-principles electronic structure calculations that makes use of density functional theory (DFT). [1] ADF was first developed in the early seventies by the group of E. J. Baerends from the Vrije Universiteit in Amsterdam, and by the group of T. Ziegler from the University of Calgary.