Foliated fracton order in the Majorana checkerboard model

Taige Wang; Wilbur Shirley; Xie Chen

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Foliated fracton order in the Majorana checkerboard model

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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

classification cond-mat.str-elquant-ph

keywords modelcheckerboardentanglementfoliatedfractonmajoranaorderx-cube

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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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