Kavli Affiliate: Long Zhang
| First 5 Authors: Hong-Hao Song, Hong-Hao Song, , ,
| Summary:
The one-dimensional (1D) domain wall of 2D $mathbbZ_2$ topological
orders is studied theoretically. The Ising domain wall model is shown to have
an emergent SU(2)$_1$ conformal symmetry because of a hidden nonsymmorphic
octahedral symmetry. While a weak magnetic field is an irrelevant perturbation
to the bulk topological orders, it induces a domain wall transition from the
Tomonaga-Luttinger liquid to a ferromagnetic order, which spontaneously breaks
the anomalous $mathbbZ_2$ symmetry and the time-reversal symmetry on the
domain wall. Moreover, the gapless domain wall state also realizes a 1D
topological quantum critical point between a
$mathbbZ_2^T$-symmetry-protected topological phase and a trivial phase,
thus demonstrating the holographic construction of topological transitions.
| Search Query: ArXiv Query: search_query=au:”Long Zhang”&id_list=&start=0&max_results=3