Pith. sign in

REVIEW 1 cited by

Polarization fluctuations in insulators and metals: New and old theories merge

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 cond-mat/0512247 v2 pith:MMTUA5OM submitted 2005-12-12 cond-mat.mtrl-sci cond-mat.other

R. Resta This is my paper
classification cond-mat.mtrl-scicond-mat.other
keywords metalsrulefinitefluctuationfluctuationsgeneralizedinsulatorspolarization
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

The ground-state fluctuation of polarization P is finite in insulators and divergent in metals, owing to the SWM sum rule [I. Souza, T. Wilkens, and R. M. Martin, Phys. Rev. B 62, 1666 (2000)]. This is a virtue of periodic (i.e. transverse) BCs. I show that within any other boundary conditions the P fluctuation is finite even in metals, and a generalized sum rule applies. The boundary-condition dependence is a pure correlation effect, not present at the independent-particle level. In the longitudinal case div P = -rho, and one equivalently addresses charge fluctuations: the generalized sum rule reduces then to a well known result of many-body theory.

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

  1. Quantum Geometry in the NbSe$_2$ Family I: Obstructed Compact Wannier Function and New Perturbation Theory

    cond-mat.mes-hall 2025-07 conditional novelty 6.0 of 10

    Monolayer NbSe2's Fermi-level flat band is an obstructed atomic band whose Wannier function is 94% reproduced by a compact three-site orbital, and its minimal model has next-nearest-neighbor hopping larger than neares...

Pith tools