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arXiv · 2010.11129

Deconfined Quantum Phase Transition of a Higher-Order Symmetry-Protected Topological State

Chen Peng·Long Zhang·Zhong-Yi Lu
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Abstract

A higher-order (HO) symmetry-protected topological (SPT) state can be realized in a plaquette-modulated square lattice antiferromagnet, which hosts a spin-$1/2$ degenerate mode on each corner of the lattice with open boundaries. In this work, we show with the field-theoretic analysis and quantum Monte Carlo simulations that the plaquette modulation can drive a direct topological quantum phase transition from the HOSPT to a trivial disordered phase across the deconfined quantum critical point (DQCP) between the antiferromagnetic (AF) order and the valence bond solid (VBS) order, thus the DQCP is a multicritical point bridging both the AF-VBS transition and the topological transition of the HOSPT phase. Our work thus reveals the ubiquitous duality between topological transitions of SPT phases and DQCPs.

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Chen Peng, Long Zhang, Zhong-Yi Lu. 2020-10-21. Deconfined Quantum Phase Transition of a Higher-Order Symmetry-Protected Topological State. https://doi.org/10.1103/physrevb.104.075112

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