All Questions
Tagged with berry-pancharatnam-phase curvature
6
questions with no upvoted or accepted answers
2
votes
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answers
168
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How can i calculate the Berry Curvature for the Dirac points in Haldane graphene?
I want to calculate the berry curvature at the Dirac points in graphene with complex next nearest hopping (haldane model) in order to show that it is non-zero at the dirac points and use it to compute ...
1
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0
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87
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What is natural about the Berry connection?
So I asked a similar question here and even though I still believe it's a valid question, the formulation may have been a bit too complicated to pique people's interest, so let me try to break it up ...
- 2,123
1
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62
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Concise formulation of Berry phase as holonomy of "natural" connection
I've been trying to understand the Berry phase (abelian/non-abelian) as the holonomy of some "natural connection". I almost have all the pieces together, but there are a few parts that are a ...
- 2,123
1
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How does the fiber bundle perspective on geometric phase lead to a certain connection one-form?
I'm trying to understand why the relevant connection one-form when calculating geometric phase in quantum systems is
$$\mathcal{A}_\psi(X):=i \text{Im}\langle \psi | X\rangle.$$
Set-up: I'll set the ...
- 123
1
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394
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Why gauge-invariant Berry curvature commutator looks like torsion?
The Berry Curvature is defined as (for invariant gauge transformations)
$$F_{ij} = [\partial_i, A_j] - [\partial_j,A_i] + [A_i,A_j]$$
The gauge covariance satisfies the transformation
$$A_i \...
- 606
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Berry curvature vanishes in TRS system
In spin 1/2 system with TR symmetry , the Berry curvature must vanish. Because Berry curvature is odd. How to prove it?
\begin{equation}
\langle\partial_{-k_x}u^{I}(-k)|\partial_{-k_y}u^{I}(-k)\rangle-...
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