Hall conductivity pump

Lev Spodyneiko

Hall conductivity pump

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2309.14332 v1 pith:DKX3HWZP submitted 2023-09-25 cond-mat.mes-hall cond-mat.str-elhep-th

Lev Spodyneiko This is my paper

classification cond-mat.mes-hallcond-mat.str-elhep-th

keywords pumpboundarieschargehallinvarianttopologicalanalogouschange

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original abstract

The Thouless charge pump represents a transfer of electric charge through a gapped one-dimensional system between its zero-dimensional boundaries under a periodic change of a parameter. The value of the passed charged during a single cycle is known to be a topological invariant. We construct an analogous topological invariant that measures a pump of Hall conductance inside of three-dimensional material between its two-dimensional boundaries.

Discussion (0). Sign in to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Space of conformal boundary conditions from the view of higher Berry phase: Flow of Berry curvature in parametrized BCFTs
hep-th 2025-07 conditional novelty 6.0 of 10

In a Dirac fermion BCFT with SU(2) conformal boundary conditions parametrized by a three-sphere, the filled Fermi sea carries a higher Berry curvature whose integral is quantized, realizing Berry curvature flow and Ch...

Pith tools