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A Holographic Theory for the Phase Transitions Between Fermionic Symmetry-protected Topological States

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arxiv 1904.01544 v1 pith:3H6VVPH2 submitted 2019-04-02 cond-mat.str-el

A Holographic Theory for the Phase Transitions Between Fermionic Symmetry-protected Topological States

classification cond-mat.str-el
keywords phasefermionicholographicstatestheorytransitionssymmetrysymmetry-protected
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In an earlier work we developed a holographic theory for the phase transition between bosonic symmetry-protected topological (SPT) states. This paper is a continuation of it. Here we present the holographic theory for fermionic SPT phase transitions. We show that in any dimension $ d $, the critical states of fermionic SPT phase transitions has an emergent $Z_2^T$ symmetry and can be realized on the boundary of a $ d+1 $-dimensional bulk SPT with an extra $Z_2^T$ symmetry.

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