Symmetry protected topological phases in spin-1 ladders and their phase transitions |
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Authors: | Ji-Yao Chen Zheng-Xin Liu |
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Institution: | 1. State Key Laboratory of Low Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing, 100084, PR China;2. Institute for Advanced Study, Tsinghua University, Beijing, 100084, PR China |
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Abstract: | We study two-legged spin-1 ladder systems with D2×σ symmetry group, where D2 is discrete spin rotational symmetry and σ means interchain reflection symmetry. The system has one trivial phase and seven nontrivial symmetry protected topological (SPT) phases. We construct Hamiltonians to realize all of these SPT phases and study the phase transitions between them. Our numerical results indicate that there is no direct continuous transition between any two SPT phases we studied. We interpret our results via topological nonlinear sigma model effective field theory, and further conjecture that generally there is no direct continuous transition between two SPT phases in one dimension if the symmetry group is discrete at all length scales. |
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Keywords: | Symmetry protected topological phase Phase transition |
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