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Tagged with berry-pancharatnam-phase curvature
18
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Berry Curvature and Curvature Tensor
When the curvature tensor (from Einstein's theory) has a non-zero torsion, it is said to be an antisymmetric tensor in the last two indices composed of the connections of the field. Alternatively, the ...
- 606
8
votes
1
answer
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Derivation of expression for Berry curvature
Many texts quote the expression for the Berry curvature for a two-level system, with Hamiltonian $\mathbf{h}(\mathbf{k})=(h_x,h_y,h_z)$ in terms of $\mathbf{k}=(k_x,k_y)$, as something like
\begin{...
- 419
7
votes
1
answer
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Detail of deriving Berry Curvature From Berry Connection
The Berry curvature of the $n^{\mathrm{th}}$ eigenstate of Hamiltonian $H$ for the vector of external parameters $\vec{R}$ can be derived in part by writing the following two lines:
$$
B^n(\vec{R}) \...
- 101