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Piezoelectricity and Topological Quantum Phase Transitions in Two-Dimensional Spin-orbit Coupled Crystals with Time-Reversal Symmetry | | Jiabin Yu
; Chao-Xing Liu
; | | Date: |
17 Oct 2019 | | Abstract: | Topological quantum phase transitions can be reflected by the sudden jump of
certain physical response functions. Typical examples include the plateau
transition in the integer quantum Hall systems accompanied by the jump of Hall
conductance and the transition between quantum spin Hall state and normal
insulator state featured by the jump of the two-terminal conductance. In this
work, we demonstrate that the piezoelectric response can also change
discontinuously across a topological quantum phase transition in
two-dimensional time-reversal invariant systems with spin-orbit coupling. We
study all 7 plane groups that allow non-vanishing piezoelectric tensor and find
that any gap closing with 1 fine-tuning parameter between two gapped states
changes either the $Z_2$ invariant (characterizing the quantum spin Hall phase)
or the "locally" stable valley Chern number (characterizing the valley Hall
phase). The jump of the piezoelectric response is found to exist for all these
transitions, and we propose the HgTe/CdTe quantum well and BaMnSb$_2$ as two
potential experimental platforms. Our work suggests a new experimental approach
to probe the topological quantum phase transition and understand its universal
behavior. | | Source: | arXiv, 1910.8050 | | Services: | Forum | Review | PDF | Favorites | |
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