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The model gives good qualitative results in many cases and can be combined with other models that give better results where the tight-binding model fails. Though the tight-binding model is a one-electron model, the model also provides a basis for more advanced calculations like the calculation of surface states and application to various kinds ...
The Aubry–André model describes a one-dimensional lattice with hopping between nearest-neighbor sites and periodically varying onsite energies. It is a tight-binding (single-band) model with no interactions. The full Hamiltonian can be written as
Here we give a simple derivation of the Peierls substitution, which is based on The Feynman Lectures (Vol. III, Chapter 21). [3] This derivation postulates that magnetic fields are incorporated in the tight-binding model by adding a phase to the hopping terms and show that it is consistent with the continuum Hamiltonian.
In condensed matter physics, the Kitaev chain or Kitaev–Majorana chain is a simplified model for a topological superconductor. It models a one dimensional lattice featuring Majorana bound states. The Kitaev chain have been used as a toy model of semiconductor nanowires for the development of topological quantum computers.
The Hubbard model introduces short-range interactions between electrons to the tight-binding model, which only includes kinetic energy (a "hopping" term) and interactions with the atoms of the lattice (an "atomic" potential). When the interaction between electrons is strong, the behavior of the Hubbard model can be qualitatively different from ...
One can immediately find if is restricted to 1 only, the Hamiltonian reduces to conventional Heisenberg model. An important feature of the multipolar exchange Hamiltonian is its anisotropy. [ 21 ] The value of coupling constant C K i K j Q i Q j {\displaystyle C_{K_{i}K_{j}}^{Q{i}Q_{j}}} is usually very sensitive to the relative angle between ...
The motor size constant and motor velocity constant (, alternatively called the back EMF constant) are values used to describe characteristics of electrical motors. Motor constant [ edit ]
The tight-binding approximation significantly simplifies the second quantized Hamiltonian, though it introduces several limitations at the same time: For single-site states with several particles in a single state, the interactions may couple to higher Bloch bands, which contradicts base assumptions.
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