Piezoelectricity and topological quantum phase transitions in two-dimensional spin-orbit coupled crystals with time-reversal symmetry
Abstract
Abstract Finding new physical responses that signal topological quantum phase transitions is of both theoretical and experimental importance. Here, we demonstrate that the piezoelectric response can change discontinuously across a topological quantum phase transition in two-dimensional time-reversal invariant systems with spin-orbit coupling, thus serving as a direct probe of the transition. We study all gap closing cases for all 7 plane groups that allow non-vanishing piezoelectricity, and find that any gap closing with 1 fine-tuning parameter between two gapped states changes either the Z 2 invariant or the locally stable valley Chern number. 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 provides a general theoretical framework to classify topological quantum phase transitions, and reveals their ubiquitous relation to the piezoelectric response.
- Authors:
- Publication Date:
- Research Org.:
- Pennsylvania State Univ., University Park, PA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1782247
- Alternate Identifier(s):
- OSTI ID: 1803538
- Grant/Contract Number:
- DESC0019064; SC0019064
- Resource Type:
- Published Article
- Journal Name:
- Nature Communications
- Additional Journal Information:
- Journal Name: Nature Communications Journal Volume: 11 Journal Issue: 1; Journal ID: ISSN 2041-1723
- Publisher:
- Nature Publishing Group
- Country of Publication:
- United Kingdom
- Language:
- English
- Subject:
- 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; Science & Technology - Other Topics
Citation Formats
Yu, Jiabin, and Liu, Chao-Xing. Piezoelectricity and topological quantum phase transitions in two-dimensional spin-orbit coupled crystals with time-reversal symmetry. United Kingdom: N. p., 2020.
Web. doi:10.1038/s41467-020-16058-2.
Yu, Jiabin, & Liu, Chao-Xing. Piezoelectricity and topological quantum phase transitions in two-dimensional spin-orbit coupled crystals with time-reversal symmetry. United Kingdom. https://doi.org/10.1038/s41467-020-16058-2
Yu, Jiabin, and Liu, Chao-Xing. Fri .
"Piezoelectricity and topological quantum phase transitions in two-dimensional spin-orbit coupled crystals with time-reversal symmetry". United Kingdom. https://doi.org/10.1038/s41467-020-16058-2.
@article{osti_1782247,
title = {Piezoelectricity and topological quantum phase transitions in two-dimensional spin-orbit coupled crystals with time-reversal symmetry},
author = {Yu, Jiabin and Liu, Chao-Xing},
abstractNote = {Abstract Finding new physical responses that signal topological quantum phase transitions is of both theoretical and experimental importance. Here, we demonstrate that the piezoelectric response can change discontinuously across a topological quantum phase transition in two-dimensional time-reversal invariant systems with spin-orbit coupling, thus serving as a direct probe of the transition. We study all gap closing cases for all 7 plane groups that allow non-vanishing piezoelectricity, and find that any gap closing with 1 fine-tuning parameter between two gapped states changes either the Z 2 invariant or the locally stable valley Chern number. 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 provides a general theoretical framework to classify topological quantum phase transitions, and reveals their ubiquitous relation to the piezoelectric response.},
doi = {10.1038/s41467-020-16058-2},
journal = {Nature Communications},
number = 1,
volume = 11,
place = {United Kingdom},
year = {Fri May 08 00:00:00 EDT 2020},
month = {Fri May 08 00:00:00 EDT 2020}
}
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Works referenced in this record:
Topological insulators and superconductors
journal, October 2011
- Qi, Xiao-Liang; Zhang, Shou-Cheng
- Reviews of Modern Physics, Vol. 83, Issue 4
The 17 Plane Symmetry Groups
journal, June 1974
- Schwarzenberger, R. L. E.
- The Mathematical Gazette, Vol. 58, Issue 404
Gauge fields in graphene
journal, November 2010
- Vozmediano, M. A. H.; Katsnelson, M. I.; Guinea, F.
- Physics Reports, Vol. 496, Issue 4-5
Tight-binding piezoelectric theory and electromechanical coupling correlations for transition metal dichalcogenide monolayers
journal, September 2018
- Wang, Yunhua; Wang, Zongtan; Li, Jie
- Physical Review B, Vol. 98, Issue 12
Time reversal polarization and a adiabatic spin pump
journal, November 2006
- Fu, Liang; Kane, C. L.
- Physical Review B, Vol. 74, Issue 19
Classification of accidental band crossings and emergent semimetals in two-dimensional noncentrosymmetric systems
journal, September 2017
- Park, Sungjoon; Yang, Bohm-Jung
- Physical Review B, Vol. 96, Issue 12
Higher-order topological insulators
journal, June 2018
- Schindler, Frank; Cook, Ashley M.; Vergniory, Maia G.
- Science Advances, Vol. 4, Issue 6
Quantum Spin Hall Insulator State in HgTe Quantum Wells
journal, November 2007
- Konig, M.; Wiedmann, S.; Brune, C.
- Science, Vol. 318, Issue 5851, p. 766-770
Giant piezoelectricity of monolayer group IV monochalcogenides: SnSe, SnS, GeSe, and GeS
journal, October 2015
- Fei, Ruixiang; Li, Wenbin; Li, Ju
- Applied Physics Letters, Vol. 107, Issue 17
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
journal, December 2006
- Bernevig, B. A.; Hughes, T. L.; Zhang, S.-C.
- Science, Vol. 314, Issue 5806, p. 1757-1761
Magnetic resonance induced pseudoelectric field and giant current response in axion insulators
journal, August 2019
- Yu, Jiabin; Zang, Jiadong; Liu, Chao-Xing
- Physical Review B, Vol. 100, Issue 7
Piezoelectricity and valley chern number in inhomogeneous hexagonal 2D crystals
journal, May 2018
- Rostami, Habib; Guinea, Francisco; Polini, Marco
- npj 2D Materials and Applications, Vol. 2, Issue 1
Electric field driven quantum phase transition between band insulator and topological insulator
journal, November 2009
- Li, Jun; Chang, Kai
- Applied Physics Letters, Vol. 95, Issue 22
Fragile Topology and Wannier Obstructions
journal, September 2018
- Po, Hoi Chun; Watanabe, Haruki; Vishwanath, Ashvin
- Physical Review Letters, Vol. 121, Issue 12
Classification of topological quantum matter with symmetries
journal, August 2016
- Chiu, Ching-Kai; Teo, Jeffrey C. Y.; Schnyder, Andreas P.
- Reviews of Modern Physics, Vol. 88, Issue 3
Symmetry-based indicators of band topology in the 230 space groups
journal, June 2017
- Po, Hoi Chun; Vishwanath, Ashvin; Watanabe, Haruki
- Nature Communications, Vol. 8, Issue 1
Observation of piezoelectricity in free-standing monolayer MoS2
journal, December 2014
- Zhu, Hanyu; Wang, Yuan; Xiao, Jun
- Nature Nanotechnology, Vol. 10, Issue 2
Disconnected elementary band representations, fragile topology, and Wilson loops as topological indices: An example on the triangular lattice
journal, January 2019
- Bradlyn, Barry; Wang, Zhijun; Cano, Jennifer
- Physical Review B, Vol. 99, Issue 4
Building blocks of topological quantum chemistry: Elementary band representations
journal, January 2018
- Cano, Jennifer; Bradlyn, Barry; Wang, Zhijun
- Physical Review B, Vol. 97, Issue 3
Topological field theory of time-reversal invariant insulators
journal, November 2008
- Qi, Xiao-Liang; Hughes, Taylor L.; Zhang, Shou-Cheng
- Physical Review B, Vol. 78, Issue 19, Article No. 195424
Spin–orbit-driven band inversion in bilayer graphene by the van der Waals proximity effect
journal, June 2019
- Island, J. O.; Cui, X.; Lewandowski, C.
- Nature, Vol. 571, Issue 7763
New classes of three-dimensional topological crystalline insulators: Nonsymmorphic and magnetic
journal, April 2015
- Fang, Chen; Fu, Liang
- Physical Review B, Vol. 91, Issue 16
Theory of polarization of crystalline solids
journal, January 1993
- King-Smith, R. D.; Vanderbilt, David
- Physical Review B, Vol. 47, Issue 3
Band structure of semimagnetic quantum wells
journal, July 2005
- Novik, E. G.; Pfeuffer-Jeschke, A.; Jungwirth, T.
- Physical Review B, Vol. 72, Issue 3
Evidence for Helical Edge Modes in Inverted Quantum Wells
journal, September 2011
- Knez, Ivan; Du, Rui-Rui; Sullivan, Gerard
- Physical Review Letters, Vol. 107, Issue 13
Strong and fragile topological Dirac semimetals with higher-order Fermi arcs
journal, January 2020
- Wieder, Benjamin J.; Wang, Zhijun; Cano, Jennifer
- Nature Communications, Vol. 11, Issue 1
Fingerprint of different spin–orbit terms for spin transport in HgTe quantum wells
journal, June 2010
- Rothe, D. G.; Reinthaler, R. W.; Liu, C-X
- New Journal of Physics, Vol. 12, Issue 6
Marginality of bulk-edge correspondence for single-valley Hamiltonians
journal, December 2010
- Li, Jian; Morpurgo, Alberto F.; Büttiker, Markus
- Physical Review B, Vol. 82, Issue 24
Electric Polarization in a Chern Insulator
journal, March 2009
- Coh, Sinisa; Vanderbilt, David
- Physical Review Letters, Vol. 102, Issue 10
Observation of the quantum spin Hall effect up to 100 kelvin in a monolayer crystal
journal, January 2018
- Wu, Sanfeng; Fatemi, Valla; Gibson, Quinn D.
- Science, Vol. 359, Issue 6371
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
journal, August 1982
- Thouless, D. J.; Kohmoto, M.; Nightingale, M. P.
- Physical Review Letters, Vol. 49, Issue 6
Topological electric current from time-dependent elastic deformations in graphene
journal, September 2013
- Vaezi, Abolhassan; Abedpour, Nima; Asgari, Reza
- Physical Review B, Vol. 88, Issue 12
Piezoelectricity of single-atomic-layer MoS2 for energy conversion and piezotronics
journal, October 2014
- Wu, Wenzhuo; Wang, Lei; Li, Yilei
- Nature, Vol. 514, Issue 7523
Topology of crystalline insulators and superconductors
journal, October 2014
- Shiozaki, Ken; Sato, Masatoshi
- Physical Review B, Vol. 90, Issue 16
Colloquium: Topological insulators
journal, November 2010
- Hasan, M. Z.; Kane, C. L.
- Reviews of Modern Physics, Vol. 82, Issue 4, p. 3045-3067
Structure and topology of band structures in the 1651 magnetic space groups
journal, August 2018
- Watanabe, Haruki; Po, Hoi Chun; Vishwanath, Ashvin
- Science Advances, Vol. 4, Issue 8
Dynamical Piezoelectric and Magnetopiezoelectric Effects in Polar Metals from Berry Phases and Orbital Moments
journal, December 2016
- Varjas, Dániel; Grushin, Adolfo G.; Ilan, Roni
- Physical Review Letters, Vol. 117, Issue 25
Quantitative mappings between symmetry and topology in solids
journal, August 2018
- Song, Zhida; Zhang, Tiantian; Fang, Zhong
- Nature Communications, Vol. 9, Issue 1
Realization of the Axion Insulator State in Quantum Anomalous Hall Sandwich Heterostructures
journal, January 2018
- Xiao, Di; Jiang, Jue; Shin, Jae-Ho
- Physical Review Letters, Vol. 120, Issue 5
Classification of topological crystalline insulators based on representation theory
journal, January 2016
- Dong, Xiao-Yu; Liu, Chao-Xing
- Physical Review B, Vol. 93, Issue 4
A valley valve and electron beam splitter
journal, December 2018
- Li, Jing; Zhang, Rui-Xing; Yin, Zhenxi
- Science, Vol. 362, Issue 6419
Electric polarization as a bulk quantity and its relation to surface charge
journal, August 1993
- Vanderbilt, David; King-Smith, R. D.
- Physical Review B, Vol. 48, Issue 7
Topological quantum chemistry
journal, July 2017
- Bradlyn, Barry; Elcoro, L.; Cano, Jennifer
- Nature, Vol. 547, Issue 7663
Reflection-Symmetric Second-Order Topological Insulators and Superconductors
journal, December 2017
- Langbehn, Josias; Peng, Yang; Trifunovic, Luka
- Physical Review Letters, Vol. 119, Issue 24
-Dimensional Edge States of Rotation Symmetry Protected Topological States
journal, December 2017
- Song, Zhida; Fang, Zhong; Fang, Chen
- Physical Review Letters, Vol. 119, Issue 24
Edge conduction in monolayer WTe2
journal, April 2017
- Fei, Zaiyao; Palomaki, Tauno; Wu, Sanfeng
- Nature Physics, Vol. 13, Issue 7
Tailoring tricolor structure of magnetic topological insulator for robust axion insulator
journal, October 2017
- Mogi, Masataka; Kawamura, Minoru; Tsukazaki, Atsushi
- Science Advances, Vol. 3, Issue 10
Scaling theory of the integer quantum Hall effect
journal, April 1995
- Huckestein, Bodo
- Reviews of Modern Physics, Vol. 67, Issue 2
Topology of Disconnected Elementary Band Representations
journal, June 2018
- Cano, Jennifer; Bradlyn, Barry; Wang, Zhijun
- Physical Review Letters, Vol. 120, Issue 26
Quantum spin Hall effect in two-dimensional transition metal dichalcogenides
journal, November 2014
- Qian, X.; Liu, J.; Fu, L.
- Science, Vol. 346, Issue 6215
Piezoelectricity in planar boron nitride via a geometric phase
journal, August 2016
- Droth, Matthias; Burkard, Guido; Pereira, Vitor M.
- Physical Review B, Vol. 94, Issue 7
Berry-phase theory of proper piezoelectric response
journal, February 2000
- Vanderbilt, D.
- Journal of Physics and Chemistry of Solids, Vol. 61, Issue 2
Valley Chern numbers and boundary modes in gapped bilayer graphene
journal, June 2013
- Zhang, F.; MacDonald, A. H.; Mele, E. J.
- Proceedings of the National Academy of Sciences, Vol. 110, Issue 26
Quantized electric multipole insulators
journal, July 2017
- Benalcazar, Wladimir A.; Bernevig, B. Andrei; Hughes, Taylor L.
- Science, Vol. 357, Issue 6346
Topological invariants of time-reversal-invariant band structures
journal, March 2007
- Moore, J. E.; Balents, L.
- Physical Review B, Vol. 75, Issue 12, Article No. 121306(R)
Energy gaps and a zero-field quantum Hall effect in graphene by strain engineering
journal, September 2009
- Guinea, F.; Katsnelson, M. I.; Geim, A. K.
- Nature Physics, Vol. 6, Issue 1
Classification of topological insulators and superconductors in the presence of reflection symmetry
journal, August 2013
- Chiu, Ching-Kai; Yao, Hong; Ryu, Shinsei
- Physical Review B, Vol. 88, Issue 7
Tuning phase transition between quantum spin Hall and ordinary insulating phases
journal, November 2007
- Murakami, Shuichi; Iso, Satoshi; Avishai, Yshai
- Physical Review B, Vol. 76, Issue 20
Quantum spin Hall state in monolayer 1T'-WTe2
journal, June 2017
- Tang, Shujie; Zhang, Chaofan; Wong, Dillon
- Nature Physics, Vol. 13, Issue 7