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arXiv · 1904.01111

Foliated fracton order in the Majorana checkerboard model

Taige Wang·Wilbur Shirley·Xie Chen
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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.

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Taige Wang, Wilbur Shirley, Xie Chen. 2019-04-01. Foliated fracton order in the Majorana checkerboard model. https://doi.org/10.1103/physrevb.100.085127

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