Pith. sign in

REVIEW 3 cited by

Local basis for interacting topological bands

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 2503.24344 v1 pith:QA73KNPB submitted 2025-03-31 cond-mat.str-el

Nishchhal Verma , Raquel Queiroz This is my paper · ORCID
classification cond-mat.str-el
keywords basislocalstatestopologicalextendedinteractinginteractioninteractions
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

The discovery of correlated states in moire materials has challenged the established methods of projecting interactions into a local Wannier basis due to topological obstructions that manifest in extended interactions. This difficulty can sometimes be evaded by decomposing the band into a basis of extended itinerant states and a lattice of local states, using the heavy fermion prescription. We revisit this framework by systematically identifying the dominant interaction channels guided by the eigenvalues of the projected density operator. This approach can be applied both to tight-binding and continuum models, allowing us to identify a hierarchy in interaction scales that can be universally used to reduce the Hilbert space dimension and determine an appropriate local basis for modeling electronic correlations in interacting topological materials.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 3 Pith papers

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

  1. Trion Excitations in Twisted Bilayer Graphene: A Quantum Monte Carlo Study

    cond-mat.str-el 2026-07 conditional novelty 7.0 of 10

    Finite-temperature QMC of twisted bilayer graphene finds gapless 'Dirac trion' three-particle excitations in the normal state, exactly orthogonal to electrons at the Γ point.

  2. Relative hybridization textures as local coordinates for band geometry and topology

    cond-mat.mes-hall 2026-07 accept novelty 6.0 of 10

    A sector-resolved projector coordinate Z reconstructs the occupied-band subspace locally, and the winding of its rank-drop defects gives the first Chern number.

  3. Characterizing Mott Insulators in the Interacting One-Body Picture

    cond-mat.str-el 2025-11 conditional novelty 5.0 of 10

    The one-body density-matrix purity is shown to jump at the Mott-to-spin-orbit-insulator transitions of the Hubbard diamond chain, offering a single-particle diagnostic for distinguishing correlated insulating phases.

Pith tools