Verified Commit c7ce0e0f authored by Anton Akhmerov's avatar Anton Akhmerov
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fix remaining titles

parent a9c9cf41
......@@ -11,7 +11,7 @@ kernelspec:
name: python3
---
# TODO FIX ME
# Tight-binding models in a magnetic field: Peierls substitution
```{code-cell} ipython3
:tags: [remove-cell]
......@@ -19,8 +19,6 @@ kernelspec:
# This first cell will be removed by the converter.
```
## Tight-binding models in a magnetic field: Peierls substitution
To understand how the vector potential enters a tight-binding model by the so-called Peierls substitution, let us remind ourselves that the gauge-invariance of the Schrodinger equation requires us to transform the wave-function amplitude or equivalently the creation operator of an electron at a site as
$$
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......@@ -11,11 +11,7 @@ kernelspec:
name: python3
---
# TODO FIX ME
+++
## Additional notes on computing Chern number
# Additional notes on computing Chern number
Computing the Chern number from the Berry connection $\bf{a}(\bf {k})=i\langle u(\bf{k})|\bf{\nabla}(|u(\bf{k})\rangle)$ is annoying because one needs to find a gauge where the Bloch wave-functions $u_n({\bf k})$ are continuous.
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