Pith. sign in

REVIEW 3 cited by

Foliated fracton order in the Majorana checkerboard model

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 1904.01111 v1 pith:JZNDDSKH submitted 2019-04-01 cond-mat.str-el quant-ph

Taige Wang , Wilbur Shirley , Xie Chen This is my paper · ORCID
classification cond-mat.str-elquant-ph
keywords modelcheckerboardentanglementfoliatedfractonmajoranaorderx-cube
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We establish the presence of foliated fracton order in the Majorana checkerboard model. In particular, we describe an entanglement renormalization group transformation which utilizes toric code layers as resources of entanglement, and furthermore discuss entanglement signatures and fractional excitations of the model. In fact, we give an exact local unitary equivalence between the Majorana checkerboard model and the semionic X-cube model augmented with decoupled fermionic modes. This mapping demonstrates that the model lies within the X-cube foliated fracton phase.

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. Electric Circuit Realizations of Fracton Physics

    cond-mat.str-el 2019-08 conditional novelty 7.0 of 10

    Networks of capacitors connected by ideal transformers conserve dipole moment, making electric charge immobile like fractons, with a linear steady-state charge profile.

  2. Sorting topological stabilizer models in three dimensions

    quant-ph 2019-08 conditional novelty 7.0 of 10

    New bulk commutation diagnostics coarsely sort translation invariant 3D stabilizer codes into TQFT, foliated type-I, fractal type-I, or type-II topological order.

  3. Anisotropic layer construction of anisotropic fracton models

    cond-mat.str-el 2019-08 accept novelty 5.0 of 10

    A coupled-layer construction from stacked 2D toric codes produces an exactly solvable anisotropic fracton model with lineon and planon excitations.

Pith tools