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Dimensionality of an Electron Gas Is Determined by Fermi Surface Topology.md

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title tags id mtime ctime
Dimensionality of an electron gas is determined by Fermi Surface topology
anyons
2DEG
FQHE
3DQHE
8884ca0d-a2b7-4021-8668-a54d7a8267c8
20210701200715
20210601145636

After looking into the [[3D Quantum Hall Effect]] a little bit, it seems that physicists determine the dimensionality of an electron gas by looking at the topology of its [[Fermi Surface]] (what that is I don't yet know.)

Specifically, [@Tang2019] claims "quasi-2D and 3D systems are distinguished by their Fermi surface topology: whereas for quasi-2D systems the Fermi surface is open along the stacking direction, it is closed for 3D systems" when discussing whether two 2D QHE systems stacked on top of each other is the same as a 3D one.

[@Pavlosiuk2017] talks about the surface topology.