# Questions tagged [berry-pancharatnam-phase]

The phase difference acquired over the course of a closed loop which results from the geometrical properties of the parameter space of the Hamiltonian.

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### Quaternion formulation for parallel transport along a curve on a 2-sphere

One image that is often used to illustrate curvature in general relativity is the triangle on a 2-sphere, made out of great circle arcs. At the end of a geodesic transport along this triangle, the ...
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### Berry flux of magnetic monopole

I am sorry if it looks stupid question. I want to ask how sin is transferred back from spherical to Cartesian and how $F_{ij}$ tells us about magnetic monopole in magnetic field. $F_{ij}$ is berry ...
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### Would there be plateaus in IQHE in haldane graphene model

It's my understanding that the plateaus observed in the integer quantum hall effect are due to scattering due to impurities in the material. The haldane model for graphene does not include a model for ...
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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 ...
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### Numerically calculating the berry curvature for graphene

i'm trying to reproduce this density plot for the Berry curvature in the Brillouin zone of graphene from this website. In order to do this I am attempting to use this equation for the berry curvature ...
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### How to derive Dirac's quantization of electric and magnetic charge from Berry's phase?

I have seen two ways of deriving Dirac's quantization of electric and magnetic charge using Berry's phase, one from Sakurai's book Modern Quantum Mechanics P354~355 and the other from David Tong's ...
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### Deriving the Berry phase from the Schroedinger equation

Let $|n(\mathbf{R})\rangle$ be eigenstates of the snapshot Hamiltonian $H|\mathbf{R} \rangle$, of eigenvalues $E_n(\mathbf{R})$. The vector $\mathbf{R}$ contains the parameters upon which the system ...
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