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Sachdev-Ye-Kitaev Model and Thermalization on the Boundary of Many-Body Localized Fermionic Symmetry Protected Topological States | | Yi-Zhuang You
; Andreas W. W. Ludwig
; Cenke Xu
; | | Date: |
22 Feb 2016 | | Abstract: | We consider the Sachdev-Ye-Kitaev (SYK) model as an effective theory arising
on the 0D boundary of an interacting 1D many-body localized, fermionic symmetry
protected topological (SPT) phase. We find that the boundary is thermalized and
investigate how its boundary anomaly, encoding the topological information of
the bulk SPT state, is reflected in the (quantum chaotic) eigenspectrum of the
SYK model. We show that the many-body level statistics varies among the three
different Wigner-Dyson statistics with a periodicity that matches the
interaction-reduced classification of the bulk SPT states. We consider all
three symmetry classes BDI, AIII, and CII, whose SPT phases are classified by
$mathbb{Z}$ in the absence of interactions. For symmetry class BDI, we derive
the periodicity of the Wigner-Dyson statistics by using Clifford algebras. | | Source: | arXiv, 1602.6964 | | Services: | Forum | Review | PDF | Favorites | |
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