Symmetry-protected topological phase transitions and robust chiral order on a tunable zigzag lattice

• URL: http://arxiv.org/abs/2011.06556v1
• Date: Thu, 12 Nov 2020 18:20:24 GMT
• Title: Symmetry-protected topological phase transitions and robust chiral order on a tunable zigzag lattice
• Authors: Qibin Zheng, Xing Li, Haiyuan Zou
• Abstract summary: We show that the setup in a zigzag optical lattice provides a perfect platform to realize symmetry-protected topological phase transitions. By using infinite time-evolving block decimation, we obtain the phase diagram in a large parameter regions. We find another scheme to realize the long-sought vector chiral phase, which is robust from quantum fluctuations.
• Score: 8.870994254107801
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Symmetry fractionalization, generating a large amount of symmetry-protected topological phases, provides scenarios for continuous phase transitions different from spontaneous symmetry breaking. However, it is hard to detect these symmetry-protected topological phase transitions experimentally. Motivated by the recent development of highly tunable ultracold polar molecules, we show that the setup in a zigzag optical lattice of this system provides a perfect platform to realize symmetry-protected topological phase transitions. By using infinite time-evolving block decimation, we obtain the phase diagram in a large parameter regions and find another scheme to realize the long-sought vector chiral phase, which is robust from quantum fluctuations. We discuss the existence of the chiral phase by an effective field analysis.

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