Phonon Helicity Induced by Electronic Berry Curvature in Dirac Materials

Hu, Lun-Hui; Yu, Jiabin; Garate, Ion; Liu, Chao-Xing

doi:10.1103/physrevlett.127.125901

Title: Phonon Helicity Induced by Electronic Berry Curvature in Dirac Materials

Journal Article · 15 September 2021 · Physical Review Letters

DOI: https://doi.org/10.1103/physrevlett.127.125901 · OSTI ID:1820690

^[1];

^[2]; Garate, Ion ^[3]; Liu, Chao-Xing ^[4]

Pennsylvania State Univ., University Park, PA (United States); Pennsylvania State University
Univ. of Maryland, College Park, MD (United States); Pennsylvania State Univ., University Park, PA (United States)
Univ. of Sherbrooke, QC (Canada)
Pennsylvania State Univ., University Park, PA (United States)

In two-dimensional insulators with time-reversal (TR) symmetry, a nonzero local Berry curvature of low-energy massive Dirac fermions can give rise to nontrivial spin and charge responses, even though the integral of the Berry curvature over all occupied states is zero. In this Letter, we present a new effect induced by the electronic Berry curvature. By studying electron-phonon interactions in BaMnSb2, a prototype two-dimensional Dirac material possessing two TR-related massive Dirac cones, we find that the nonzero local Berry curvature of electrons can induce a phonon angular momentum. The direction of this phonon angular momentum is locked to the phonon propagation direction, and thus we refer to it as “phonon helicity” in a way that is reminiscent of electron helicity in spin-orbit-coupled electronic systems. We discuss possible experimental probes of such phonon helicity.

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Research Organization:: Pennsylvania State Univ., University Park, PA (United States)

Sponsoring Organization:: USDOE; US Department of the Navy, Office of Naval Research (ONR); Canada First Research Excellence Fund (CFREF); Natural Sciences and Engineering Research Council of Canada (NSERC)

Grant/Contract Number:: SC0019064

OSTI ID:: 1820690

Alternate ID(s):: OSTI ID: 1829063

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 12 Vol. 127; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (73)

Chiral sound waves in strained Weyl semimetals Chernodub, M. N.; Vozmediano, María A. H. Physical Review Research, Vol. 1, Issue 3 https://doi.org/10.1103/PhysRevResearch.1.032040	journal	December 2019
On the determination of Born–Oppenheimer nuclear motion wave functions including complications due to conical intersections and identical nuclei Mead, C. Alden; Truhlar, Donald G. The Journal of Chemical Physics, Vol. 70, Issue 5 https://doi.org/10.1063/1.437734	journal	March 1979
The rare two-dimensional materials with Dirac cones Wang, Jinying; Deng, Shibin; Liu, Zhongfan National Science Review, Vol. 2, Issue 1 https://doi.org/10.1093/nsr/nwu080	journal	February 2015
Angular Momentum of Phonons and the Einstein–de Haas Effect Zhang, Lifa; Niu, Qian Physical Review Letters, Vol. 112, Issue 8 https://doi.org/10.1103/PhysRevLett.112.085503	journal	February 2014
Emergence of superlattice Dirac points in graphene on hexagonal boron nitride Yankowitz, Matthew; Xue, Jiamin; Cormode, Daniel Nature Physics, Vol. 8, Issue 5 https://doi.org/10.1038/nphys2272	journal	March 2012
Evidence for Helical Edge Modes in Inverted InAs / GaSb Quantum Wells Knez, Ivan; Du, Rui-Rui; Sullivan, Gerard Physical Review Letters, Vol. 107, Issue 13 https://doi.org/10.1103/PhysRevLett.107.136603	journal	September 2011
Optical properties of Weyl semimetals Moore, Joel E. National Science Review, Vol. 6, Issue 2 https://doi.org/10.1093/nsr/nwy164	journal	December 2018
Observation of the quantum spin Hall effect up to 100 kelvin in a monolayer crystal Wu, Sanfeng; Fatemi, Valla; Gibson, Quinn D. Science, Vol. 359, Issue 6371 https://doi.org/10.1126/science.aan6003	journal	January 2018
Quantum Nonlinear Hall Effect Induced by Berry Curvature Dipole in Time-Reversal Invariant Materials Sodemann, Inti; Fu, Liang Physical Review Letters, Vol. 115, Issue 21 https://doi.org/10.1103/PhysRevLett.115.216806	journal	November 2015
Anomalous collapses of Nares Strait ice arches leads to enhanced export of Arctic sea ice Moore, G. W. K.; Howell, S. E. L.; Brady, M. Nature Communications, Vol. 12, Issue 1 https://doi.org/10.1038/s41467-020-20314-w	journal	January 2021
Quantum Spin Hall Effect in Inverted Type-II Semiconductors Liu, Chaoxing; Hughes, Taylor L.; Qi, Xiao-Liang Physical Review Letters, Vol. 100, Issue 23 https://doi.org/10.1103/PhysRevLett.100.236601	journal	June 2008
The valley Hall effect in MoS2 transistors Mak, K. F.; McGill, K. L.; Park, J. Science, Vol. 344, Issue 6191 https://doi.org/10.1126/science.1250140	journal	June 2014
Observation of the nonlinear Hall effect under time-reversal-symmetric conditions Ma, Qiong; Xu, Su-Yang; Shen, Huitao Nature, Vol. 565, Issue 7739 https://doi.org/10.1038/s41586-018-0807-6	journal	December 2018
Helicity-dependent photocurrents in the chiral Weyl semimetal RhSi Rees, Dylan; Manna, Kaustuv; Lu, Baozhu Science Advances, Vol. 6, Issue 29 https://doi.org/10.1126/sciadv.aba0509	journal	July 2020
Signatures of the Chiral Anomaly in Phonon Dynamics Rinkel, P.; Lopes, P. L. S.; Garate, Ion Physical Review Letters, Vol. 119, Issue 10 https://doi.org/10.1103/PhysRevLett.119.107401	journal	September 2017
Edge conduction in monolayer WTe2 Fei, Zaiyao; Palomaki, Tauno; Wu, Sanfeng Nature Physics, Vol. 13, Issue 7 https://doi.org/10.1038/nphys4091	journal	April 2017
Dynamical polarization, screening, and plasmons in gapped graphene Pyatkovskiy, P. K. Journal of Physics: Condensed Matter, Vol. 21, Issue 2 https://doi.org/10.1088/0953-8984/21/2/025506	journal	December 2008
Chirality-Induced Dynamic Kohn Anomalies in Graphene Tse, Wang-Kong; Hu, Ben Yu-Kuang; Das Sarma, S. Physical Review Letters, Vol. 101, Issue 6 https://doi.org/10.1103/PhysRevLett.101.066401	journal	August 2008
Piezoelectricity Martin, Richard M. Physical Review B, Vol. 5, Issue 4 https://doi.org/10.1103/PhysRevB.5.1607	journal	February 1972
Piezoelectricity in planar boron nitride via a geometric phase Droth, Matthias; Burkard, Guido; Pereira, Vitor M. Physical Review B, Vol. 94, Issue 7 https://doi.org/10.1103/PhysRevB.94.075404	journal	August 2016
Anomalous Hall effect Nagaosa, Naoto; Sinova, Jairo; Onoda, Shigeki Reviews of Modern Physics, Vol. 82, Issue 2 https://doi.org/10.1103/RevModPhys.82.1539	journal	May 2010
Quantum spin Hall state in monolayer 1T'-WTe2 Tang, Shujie; Zhang, Chaofan; Wong, Dillon Nature Physics, Vol. 13, Issue 7 https://doi.org/10.1038/nphys4174	journal	June 2017
Current-induced phonon Hall effect Sun, Kangtai; Gao, Zhibin; Wang, Jian-Sheng Physical Review B, Vol. 102, Issue 13 https://doi.org/10.1103/PhysRevB.102.134311	journal	October 2020
Detecting Band Inversions by Measuring the Environment: Fingerprints of Electronic Band Topology in Bulk Phonon Linewidths Saha, Kush; Légaré, Katherine; Garate, Ion Physical Review Letters, Vol. 115, Issue 17 https://doi.org/10.1103/PhysRevLett.115.176405	journal	October 2015
Coupled Spin and Valley Physics in Monolayers of MoS 2 and Other Group-VI Dichalcogenides Xiao, Di; Liu, Gui-Bin; Feng, Wanxiang Physical Review Letters, Vol. 108, Issue 19 https://doi.org/10.1103/PhysRevLett.108.196802	journal	May 2012
Dielectric function, screening, and plasmons in two-dimensional graphene Hwang, E. H.; Das Sarma, S. Physical Review B, Vol. 75, Issue 20 https://doi.org/10.1103/PhysRevB.75.205418	journal	May 2007
Photogalvanic effect in Weyl semimetals from first principles Zhang, Yang; Ishizuka, Hiroaki; van den Brink, Jeroen Physical Review B, Vol. 97, Issue 24 https://doi.org/10.1103/PhysRevB.97.241118	journal	June 2018
Nonlinear anomalous Hall effect in few-layer WTe2 Kang, Kaifei; Li, Tingxin; Sohn, Egon Nature Materials, Vol. 18, Issue 4 https://doi.org/10.1038/s41563-019-0294-7	journal	February 2019
Topological magnetoelastic excitations in noncollinear antiferromagnets Park, Sungjoon; Yang, Bohm-Jung Physical Review B, Vol. 99, Issue 17 https://doi.org/10.1103/PhysRevB.99.174435	journal	May 2019
Dissipationless phonon Hall viscosity Barkeshli, Maissam; Chung, Suk Bum; Qi, Xiao-Liang Physical Review B, Vol. 85, Issue 24 https://doi.org/10.1103/PhysRevB.85.245107	journal	June 2012
Chiral Phonons at High-Symmetry Points in Monolayer Hexagonal Lattices Zhang, Lifa; Niu, Qian Physical Review Letters, Vol. 115, Issue 11 https://doi.org/10.1103/PhysRevLett.115.115502	journal	September 2015
Anomalous sound attenuation in Weyl semimetals in magnetic and pseudomagnetic fields Sukhachov, P. O.; Glazman, L. I. Physical Review B, Vol. 103, Issue 21 https://doi.org/10.1103/PhysRevB.103.214310	journal	June 2021
Berry-Phase Effect in Anomalous Thermoelectric Transport Xiao, Di; Yao, Yugui; Fang, Zhong Physical Review Letters, Vol. 97, Issue 2 https://doi.org/10.1103/PhysRevLett.97.026603	journal	July 2006
Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator Chang, C. -Z.; Zhang, J.; Feng, X. Science, Vol. 340, Issue 6129 https://doi.org/10.1126/science.1234414	journal	March 2013
New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance Klitzing, K. v.; Dorda, G.; Pepper, M. Physical Review Letters, Vol. 45, Issue 6 https://doi.org/10.1103/PhysRevLett.45.494	journal	August 1980
Quantum Field Theory Srednicki, Mark Cambridge University Press https://doi.org/10.1017/CBO9780511813917	book	January 2007
Quantized circular photogalvanic effect in Weyl semimetals de Juan, Fernando; Grushin, Adolfo G.; Morimoto, Takahiro Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/ncomms15995	journal	July 2017
Using coherent phonons for ultrafast control of the Dirac node of SrMnSb 2 Weber, Chris P.; Masten, Madison G.; Ogloza, Thomas C. Physical Review B, Vol. 98, Issue 15 https://doi.org/10.1103/PhysRevB.98.155115	journal	October 2018
Quantal Phase Factors Accompanying Adiabatic Changes Berry, M. V. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 392, Issue 1802 https://doi.org/10.1098/rspa.1984.0023	journal	March 1984
Quantum Spin Hall Insulator State in HgTe Quantum Wells Konig, M.; Wiedmann, S.; Brune, C. Science, Vol. 318, Issue 5851, p. 766-770 https://doi.org/10.1126/science.1148047	journal	November 2007
Berry phase effects on electronic properties Xiao, Di; Chang, Ming-Che; Niu, Qian Reviews of Modern Physics, Vol. 82, Issue 3 https://doi.org/10.1103/RevModPhys.82.1959	journal	July 2010
Field-angle dependence of sound velocity in the Weyl semimetal TaAs Laliberté, F.; Bélanger, F.; Nair, N. L. Physical Review B, Vol. 102, Issue 12 https://doi.org/10.1103/PhysRevB.102.125104	journal	September 2020
Valley-Contrasting Physics in Graphene: Magnetic Moment and Topological Transport Xiao, Di; Yao, Wang; Niu, Qian Physical Review Letters, Vol. 99, Issue 23 https://doi.org/10.1103/PhysRevLett.99.236809	journal	December 2007
Atomic cobalt on nitrogen-doped graphene for hydrogen generation Fei, Huilong; Dong, Juncai; Arellano-Jiménez, M. Josefina Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms9668	journal	October 2015
Symmetry Properties of the Normal Vibrations of a Crystal Maradudin, A. A.; Vosko, S. H. Reviews of Modern Physics, Vol. 40, Issue 1 https://doi.org/10.1103/RevModPhys.40.1	journal	January 1968
Quantized Hall Conductance in a Two-Dimensional Periodic Potential Thouless, D. J.; Kohmoto, M.; Nightingale, M. P. Physical Review Letters, Vol. 49, Issue 6 https://doi.org/10.1103/PhysRevLett.49.405	journal	August 1982
AEMnSb ₂ (AE=Sr, Ba): a new class of Dirac materials Farhan, M. Arshad; Lee, Geunsik; Shim, Ji Hoon Journal of Physics: Condensed Matter, Vol. 26, Issue 4 https://doi.org/10.1088/0953-8984/26/4/042201	journal	January 2014
Pseudo-electromagnetic fields in 3D topological semimetals Ilan, Roni; Grushin, Adolfo G.; Pikulin, Dmitry I. Nature Reviews Physics, Vol. 2, Issue 1 https://doi.org/10.1038/s42254-019-0121-8	journal	November 2019
Gauge fields in graphene Vozmediano, M. A. H.; Katsnelson, M. I.; Guinea, F. Physics Reports, Vol. 496, Issue 4-5 https://doi.org/10.1016/j.physrep.2010.07.003	journal	November 2010
Scanning tunnelling microscopy and spectroscopy of ultra-flat graphene on hexagonal boron nitride Xue, Jiamin; Sanchez-Yamagishi, Javier; Bulmash, Danny Nature Materials, Vol. 10, Issue 4 https://doi.org/10.1038/nmat2968	journal	February 2011
Thermal Hall Effect Induced by Magnon-Phonon Interactions Zhang, Xiaoou; Zhang, Yinhan; Okamoto, Satoshi Physical Review Letters, Vol. 123, Issue 16 https://doi.org/10.1103/PhysRevLett.123.167202	journal	October 2019
Topological phases in two-dimensional materials: a review Ren, Yafei; Qiao, Zhenhua; Niu, Qian Reports on Progress in Physics, Vol. 79, Issue 6 https://doi.org/10.1088/0034-4885/79/6/066501	journal	May 2016
Phonon Angular Momentum Induced by the Temperature Gradient Hamada, Masato; Minamitani, Emi; Hirayama, Motoaki Physical Review Letters, Vol. 121, Issue 17 https://doi.org/10.1103/PhysRevLett.121.175301	journal	October 2018
Circular Phonon Dichroism in Weyl Semimetals Liu, Donghao; Shi, Junren Physical Review Letters, Vol. 119, Issue 7 https://doi.org/10.1103/PhysRevLett.119.075301	journal	August 2017
Topological electric current from time-dependent elastic deformations in graphene Vaezi, Abolhassan; Abedpour, Nima; Asgari, Reza Physical Review B, Vol. 88, Issue 12 https://doi.org/10.1103/PhysRevB.88.125406	journal	September 2013
Dirac materials Wehling, T. O.; Black-Schaffer, A. M.; Balatsky, A. V. Advances in Physics, Vol. 63, Issue 1 https://doi.org/10.1080/00018732.2014.927109	journal	January 2014
Anomaly-induced sound absorption in Weyl semimetals Antebi, Ohad; Pesin, D. A.; Andreev, A. V. Physical Review B, Vol. 103, Issue 21 https://doi.org/10.1103/PhysRevB.103.214309	journal	June 2021
Berry Phase Correction to Electron Density of States in Solids Xiao, Di; Shi, Junren; Niu, Qian Physical Review Letters, Vol. 95, Issue 13 https://doi.org/10.1103/PhysRevLett.95.137204	journal	September 2005
Phonon Magnetochiral Effect of Band-Geometric Origin in Weyl Semimetals Sengupta, Sanghita; Lhachemi, M. Nabil Y.; Garate, Ion Physical Review Letters, Vol. 125, Issue 14 https://doi.org/10.1103/PhysRevLett.125.146402	journal	October 2020
Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase Simon, Barry Physical Review Letters, Vol. 51, Issue 24 https://doi.org/10.1103/PhysRevLett.51.2167	journal	December 1983
Blowing the Fuse: Berry’s Phase and Runaway Vibrations in Molecular Conductors Lü, Jing-Tao; Brandbyge, Mads; Hedegård, Per Nano Letters, Vol. 10, Issue 5 https://doi.org/10.1021/nl904233u	journal	April 2010
Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly" Haldane, F. D. M. Physical Review Letters, Vol. 61, Issue 18 https://doi.org/10.1103/PhysRevLett.61.2015	journal	October 1988
Electrically switchable Berry curvature dipole in the monolayer topological insulator WTe2 Xu, Su-Yang; Ma, Qiong; Shen, Huitao Nature Physics, Vol. 14, Issue 9 https://doi.org/10.1038/s41567-018-0189-6	journal	July 2018
Spin Hall effects Sinova, Jairo; Valenzuela, Sergio O.; Wunderlich, J. Reviews of Modern Physics, Vol. 87, Issue 4 https://doi.org/10.1103/RevModPhys.87.1213	journal	October 2015
Weyl and Dirac semimetals in three-dimensional solids Armitage, N. P.; Mele, E. J.; Vishwanath, Ashvin Reviews of Modern Physics, Vol. 90, Issue 1 https://doi.org/10.1103/RevModPhys.90.015001	journal	January 2018
Localized spin-orbit polaron in magnetic Weyl semimetal Co3Sn2S2 Xing, Yuqing; Shen, Jianlei; Chen, Hui Nature Communications, Vol. 11, Issue 1 https://doi.org/10.1038/s41467-020-19440-2	journal	November 2020
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells Bernevig, B. A.; Hughes, T. L.; Zhang, S.-C. Science, Vol. 314, Issue 5806, p. 1757-1761 https://doi.org/10.1126/science.1133734	journal	December 2006
Hall viscosity for optical phonons Heidari, Shiva; Cortijo, Alberto; Asgari, Reza Physical Review B, Vol. 100, Issue 16 https://doi.org/10.1103/PhysRevB.100.165427	journal	October 2019
Berry curvature dipole in Weyl semimetal materials: An ab initio study Zhang, Yang; Sun, Yan; Yan, Binghai Physical Review B, Vol. 97, Issue 4 https://doi.org/10.1103/PhysRevB.97.041101	journal	January 2018
Berry Curvature in Magnon-Phonon Hybrid Systems Takahashi, Ryuji; Nagaosa, Naoto Physical Review Letters, Vol. 117, Issue 21 https://doi.org/10.1103/PhysRevLett.117.217205	journal	November 2016
Orbital magnetic moments of phonons Juraschek, Dominik M.; Spaldin, Nicola A. Physical Review Materials, Vol. 3, Issue 6 https://doi.org/10.1103/PhysRevMaterials.3.064405	journal	June 2019
Berry-phase theory of proper piezoelectric response Vanderbilt, D. Journal of Physics and Chemistry of Solids, Vol. 61, Issue 2 https://doi.org/10.1016/S0022-3697(99)00273-5	journal	February 2000
Piezoelectricity and valley chern number in inhomogeneous hexagonal 2D crystals Rostami, Habib; Guinea, Francisco; Polini, Marco npj 2D Materials and Applications, Vol. 2, Issue 1 https://doi.org/10.1038/s41699-018-0061-7	journal	May 2018

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