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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,742 papers · 148 categories

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3 results for “semimetals”

Cohomology of knotted semimetals in three dimensionsmath-ph

Researchers extend topological classification to knotted semimetals in 3D.

problem Classifying semimetals with knotted nodal lines.

method Using cohomology and Mayer-Vietoris sequence to account for nodal line semimetals with space-time inversion symmetry.

result Manifest proof of Weyl charge cancellation condition for Z_2 monopole charge.

topological classification semimetals nodal lines cohomology Mayer-Vietoris sequence

2023-12-04abs ↗pdf ↗

Differential topology of semimetalsmath-ph

The subtle interplay between local and global charges for topological semimetals exactly parallels that for singular vector fields. Part of this story is the relationship between cohomological semimetal invariants, Euler structures, and ambiguities in the torsion of manifolds. Dually, a topological semimetal can be rep…

2016-11-28abs ↗pdf ↗

Anyonic Topological Order in Twisted Equivariant Differential (TED) K-Theoryhep-th

New K-theory approach classifies anyonic topological phases in 2D semimetals.

problem Classifying interacting topological phases remains open.

method TED K-theory of configuration spaces of points in the Brillouin torus.

result Classifies su(2)-anyonic topological order in 2D semimetals.

K-theory topological order anyons twisted equivariant semimetals

2022-06-27abs ↗pdf ↗