Pith. sign in

REVIEW 2 cited by

Construction and classification of crystalline topological superconductor and insulators in three-dimensional interacting fermion systems

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 2204.13558 v2 pith:5K7GCF35 submitted 2022-04-28 cond-mat.str-el hep-thmath-phmath.MP

Jian-Hao Zhang , Shang-Qiang Ning , Yang Qi , Zheng-Cheng Gu This is my paper · ORCID
classification cond-mat.str-elhep-thmath-phmath.MP
keywords topologicalcrystallineinteractingsystemsfermionhigher-orderinsulatorsphases
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

The natural existence of crystalline symmetry in real materials manifests the importance of understanding crystalline symmetry-protected topological (SPT) phases, especially for interacting systems. In this paper, we systematically construct and classify all the crystalline topological superconductors and insulators in three-dimensional (3D) interacting fermion systems using the novel concept of topological crystal. The corresponding higher-order topological surface theory can also be systematically studied via higher-order bulk-boundary correspondence. In particular, we discover an intriguing fact that almost all topological crystals with nontrivial 2D block states are intrinsically interacting topological phases that cannot be realized in any free-fermion systems. Moreover, the crystalline equivalence principle for 3D interacting fermionic systems is also verified, with an additional subtle "twist" on the spin of fermions.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

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

  1. Interacting Electronic Topology of Nonlocal Crystals

    cond-mat.str-el 2025-06 conditional novelty 7.0 of 10

    An exactly solvable 1D model with infinite-range Hatsugai-Kohmoto interactions realizes a topological phase with a size-independent inversion eigenvalue -1 and an odd quantized charge pump, impossible in local models.

  2. Discrete Shift and Polarization from Response to Symmetry Defects in Interacting Topological Phases

    cond-mat.str-el 2025-10 conditional novelty 6.0 of 10

    DMRG simulations of an interacting Hofstadter model show quantized defect-bound charges, yielding discrete shift 1/2 and polarization 1/2 in the Chern phase, and shift 1 in the CDW phase.

Pith tools