Contents: Electron configuration; Tight binding; Nearly free electron model; Hartree-Fock method; Modern valence bond; Generalized valence bond; Moller-Plesset perturbation theory; Configuration interaction; Coupled cluster; etc. (7456 views)
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- The authors model a two-dimensional honeycomb lattice of traps created by the interference of three laser beams. They then carry out tight-binding calculations of the band structure to show that a signature of graphene—transport of massless excitations—could indeed exist in this analogous system.
- F. Bresme and A. Wynveen, Interactions of polarizable media in water and the hydrophobic interaction, in "Aspects of Physical Biology: Biological Water, Protein Solutions, Transport and Replication; Lecture Notes in Physics", vol. 752, pp. 43-62, edited by G. Franzese and M. Rubi (Springer-Verlag, Berlin, 2008)
Lecture 9 Phys 446 Solid State Physics Lecture 9 Nov 9, 2007 (Ch. 6.1-6.5) ... Tight binding model – strong crystal potential, weak overlap.
- The tight-binding theory is widely used to describe the low-energy bands in graphitic materials. In the case of graphite, a set of tight-binding parameters, known as the Slonczewski-Weiss-McClure SWMcC model,23,24 was very successful in describing quantitatively the de Haas–van Al-phen effect and optical spectra.25 Therefore, one can expect
Quantum Transverse Field Ising Model (Jordan-Wigner in 1d) Second quantization for non-relatvistic Bosons/Fermions (revisited) Weakly Interacting Bosons; Superfluidity and Symmetry breaking; Non-relativistic Fermi gas (continuum and tight-binding model) Quantized Electromagnetic field; Dirac Theory in 1d, 2d and 3d
- model, exists, whereas the underlying theory for higher energies is unknown. In solid state physics, the situation is reversed. The Hamiltonian (1) describes the known 'high-energy' physics (on the energy scale of Hartree), and one aims at describing the low-energy properties using re-duced (e ective, phenomenological) theories.
The nearly free electron model (the topic of this lecture) helps to understand the relation between tight-binding and free electron models. It describes the properties of metals. These different models can be organized as a function of the strength of the lattice potential V (x):
- Second quantization and tight binding models: simplified model to study band structures (9/20/2012) Tight binding models part II: an example with two bands (9/25/2012) Tight binding models part III: a topologically nontrivial example (9/27/2012) The model of Haldane: Dirac points and Chern insulators. (10/2/2012 and 10/4/2012)
Lecture notes. Lecture 2 notes, 2013. LectureSST2_notes2011 We also left out some algebra regarding the one-dimensional transfer matrix technique for Schrödinger equation and the formal proof for Bloch's theorem. You can find omitted details in Appendicies A and B Lecture2_band_struct_ABC.pdf. Links
- 2 PHY392T (Topological phases of matter) Lecture Notes Lecture 1.: 8/29/19 Lecture 2. Second quantization: 9/3/19 ... Example 2.21 (1d tight binding model). Let’s ...
Tight Binding and The Hubbard Model Everything should be made as simple as possible, but no simpler A. Einstein 1 Introduction The Hubbard Hamiltonian (HH) o ers one of the most simple ways to get insight into how the interactions between electrons give rise to insulating, magnetic, and even novel superconducting e ects in a solid.
- The model was parameterized for AM1, PM3, PM5 and RM1 to reproduce the free energy of hydration. These parametrizations were tested for a set of 507 neutral and 99 ionic molecules resulting in AUE for neutral molecules of 0.64, 0.66, 0.73, and 0.71 kcal mol-1 for AM1, PM3, PM5, and RM1 models, respectively.
It will consist of a short in-class part (~20 min) and a take home exam due on Nov. 9. The in-class part is closed notes, closed books. Midterm covers all the material discussed in class (including reading assignments) up to and including the tight-binding model. Final exam will take place on Dec. 14 at noon.