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SOC Matrix Element in DFT
3 minute read
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SOC in DFT
We start from this formula of SOC expression in DFT: \(H_{SOC}=\sum_i\xi_i(r)\vec{L}_i\cdot\vec{S}_i\)
notes on Large Deviation Principle
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Large Deviation Principle
Definition:
The large deviation principle defines a rate function $I(\mathbf{x})$ that: \(\lim_{n\to\infty}-\frac{1}{n}\ln p(\mathbf{x})=I(\mathbf{x})\)
Hubbard Model and Gutzwiller
less than 1 minute read
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Hubbard Model
The one-band Hubbard Model is the simplest model for the interactive electrons in solid.
notes on Wannier Tight-Binding Method
1 minute read
Published:
The Wannier Function is the Fourier transform of the bloch functions. Since bloch function have a gauge freedom, that one can choose a phase function that is periodic in K space and won’t change the bloch function’s functionality, so the wanneir function can be formed in varies ways.