> For the complete documentation index, see [llms.txt](https://via-dean.gitbook.io/all/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://via-dean.gitbook.io/all/multifaceted-viewpoint/mathematical-structures-underlying-physical-laws/animated-results/fermi-surface-from-3d-spheres-to-quasi-2d-corrugated-cylinders-and-2d-honeycomb-pockets.md).

# Fermi Surface From 3D Spheres to Quasi-2D Corrugated Cylinders and 2D Honeycomb Pockets

> Explore how sharp Fermi surface boundaries drive Friedel oscillations and how 2D graphene lattices deform Fermi pockets through trigonal warping.

{% embed url="<https://youtu.be/f4ZH1OKtP14>" %}

### Deliverables

{% embed url="<https://payhip.com/b/BacMg>" %}

### Quantum Reality and Screening Behavior of the Fermi Sphere

Discover how Pauli exclusion forms the sharp Fermi sphere in metals and transforms into gate-tunable Fermi pockets in 2D lattices.

<figure><img src="https://2907506351-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FcRbkePFdnJDPsCNQ6qJj%2Fuploads%2FRGc0t9pNB6L1SxnZzITU%2FQuantum%20Reality%20and%20Screening%20Behavior%20of%20the%20Fermi%20Sphere%20(1).png?alt=media&amp;token=aa203491-ad8d-4daa-beda-20d49981fdd2" alt=""><figcaption></figcaption></figure>

### Related

{% content-ref url="/pages/yyBRfOx4QhNwtOeV7w5z" %}
[Analyze Flux and Laplacian of The Yukawa Potential](/all/multifaceted-viewpoint/mathematical-structures-underlying-physical-laws/proof-and-derivation/analyze-flux-and-laplacian-of-the-yukawa-potential.md)
{% endcontent-ref %}