Phonon Magnetic Moment from Electronic Topological Magnetization

Ren, Yafei; Xiao, Cong; Saparov, Daniyar; Niu, Qian

doi:10.1103/physrevlett.127.186403

Phonon Magnetic Moment from Electronic Topological Magnetization

Journal Article · Fri Oct 29 00:00:00 EDT 2021 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.127.186403· OSTI ID:1980225

^[1]; ^[2]; ^[3]; Niu, Qian ^[4]

Univ. of Texas, Austin, TX (United States); Univ. of Washington, Seattle, WA (United States); OSTI
Univ. of Texas, Austin, TX (United States); Univ. of Hong Kong (Hong Kong); HKU-UCAS Joint Inst. of Theoretical and Computational Physics at Hong Kong (China)
Univ. of Texas, Austin, TX (United States)
Univ. of Texas, Austin, TX (United States); Univ. of Science and Technology of China, Hefei (China)

The traditional theory of magnetic moments for chiral phonons is based on the picture of the circular motion of the Born effective charge, typically yielding a small fractional value of the nuclear magneton. Here we investigate the adiabatic evolution of electronic states induced by the lattice vibration of a chiral phonon and obtain an electronic orbital magnetization in the form of a topological second Chern form. We find that the traditional theory needs to be refined by introducing a k resolved Born effective charge, and identify another contribution from the phonon-modified electronic energy together with the momentum-space Berry curvature. The second Chern form can diverge when there is a Yang’s monopole near the parameter space of interest as illustrated by considering a phonon at the Brillouin zone corner in a gapped graphene model. We also find large magnetic moments for the optical phonon in bulk topological materials where nontopological contribution is also important. Our results agree with recent observations in experiments.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Texas, Austin, TX (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG03-02ER45958

OSTI ID:: 1980225

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 18 Vol. 127; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (46)

Geometric orbital magnetization in adiabatic processes Trifunovic, Luka; Ono, Seishiro; Watanabe, Haruki arXiv https://doi.org/10.48550/arxiv.1904.11394	text	January 2019
A Large Effective Phonon Magnetic Moment in a Dirac Semimetal Cheng, Bing; Schumann, T.; Wang, Youcheng Nano Letters, Vol. 20, Issue 8 https://doi.org/10.1021/acs.nanolett.0c01983	journal	July 2020
Nondegenerate Chiral Phonons in Graphene/Hexagonal Boron Nitride Heterostructure from First-Principles Calculations Gao, Mengnan; Zhang, Wei; Zhang, Lifa Nano Letters, Vol. 18, Issue 7 https://doi.org/10.1021/acs.nanolett.8b01487	journal	June 2018
Negative magnetoresistance in Dirac semimetal Cd3As2 Li, Hui; He, Hongtao; Lu, Hai-Zhou Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms10301	journal	January 2016
Topological crystalline insulators in the SnTe material class Hsieh, Timothy H.; Lin, Hsin; Liu, Junwei Nature Communications, Vol. 3, Article No. 982 https://doi.org/10.1038/ncomms1969	journal	January 2012
Topological insulators in Bi₂Se₃, Bi₂Te₃ and Sb₂Te₃ with a single Dirac cone on the surface Zhang, Haijun; Liu, Chao-Xing; Qi, Xiao-Liang Nature Physics, Vol. 5, Issue 6, p. 438-442 https://doi.org/10.1038/nphys1270	journal	May 2009
An effective magnetic field from optically driven phonons Nova, T. F.; Cartella, A.; Cantaluppi, A. Nature Physics, Vol. 13, Issue 2 https://doi.org/10.1038/nphys3925	journal	October 2016
Emerging photoluminescence from the dark-exciton phonon replica in monolayer WSe2 Li, Zhipeng; Wang, Tianmeng; Jin, Chenhao Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-10477-6	journal	June 2019
Magnetization control by angular momentum transfer from surface acoustic wave to ferromagnetic spin moments Sasaki, R.; Nii, Y.; Onose, Y. Nature Communications, Vol. 12, Issue 1 https://doi.org/10.1038/s41467-021-22728-6	journal	May 2021
Dynamical amplification of electric polarization through nonlinear phononics in 2D SnTe Shin, Dongbin; Sato, Shunsuke A.; Hübener, Hannes npj Computational Materials, Vol. 6, Issue 1 https://doi.org/10.1038/s41524-020-00449-6	journal	November 2020
Detecting the phonon spin in magnon–phonon conversion experiments Holanda, J.; Maior, D. S.; Azevedo, A. Nature Physics, Vol. 14, Issue 5 https://doi.org/10.1038/s41567-018-0079-y	journal	April 2018
Chiral phonons in the pseudogap phase of cuprates Grissonnanche, G.; Thériault, S.; Gourgout, A. Nature Physics, Vol. 16, Issue 11 https://doi.org/10.1038/s41567-020-0965-y	journal	July 2020
Electrical polarization and orbital magnetization: the modern theories Resta, Raffaele Journal of Physics: Condensed Matter, Vol. 22, Issue 12 https://doi.org/10.1088/0953-8984/22/12/123201	journal	March 2010
Strained graphene: tight-binding and density functional calculations Ribeiro, R. M.; Pereira, Vitor M.; Peres, N. M. R. New Journal of Physics, Vol. 11, Issue 11 https://doi.org/10.1088/1367-2630/11/11/115002	journal	November 2009
Giant effective charges and piezoelectricity in gapped graphene Bistoni, O.; Barone, P.; Cappelluti, E. 2D Materials, Vol. 6, Issue 4 https://doi.org/10.1088/2053-1583/ab2ce0	journal	July 2019
Geometric orbital magnetization in adiabatic processes Trifunovic, Luka; Ono, Seishiro; Watanabe, Haruki Physical Review B, Vol. 100, Issue 5 https://doi.org/10.1103/PhysRevB.100.054408	journal	August 2019
Chiral phonons in kagome lattices Chen, Hao; Wu, Weikang; Yang, Shengyuan A. Physical Review B, Vol. 100, Issue 9 https://doi.org/10.1103/PhysRevB.100.094303	journal	September 2019
Adiabatically induced orbital magnetization Xiao, Cong; Ren, Yafei; Xiong, Bangguo Physical Review B, Vol. 103, Issue 11 https://doi.org/10.1103/PhysRevB.103.115432	journal	March 2021
Chiral phonons in the honeycomb sublattice of layered CoSn-like compounds Ptok, Andrzej; Kobiałka, Aksel; Sternik, Małgorzata Physical Review B, Vol. 104, Issue 5 https://doi.org/10.1103/PhysRevB.104.054305	journal	August 2021
Electric polarization in inhomogeneous crystals Zhao, Yiqiang; Gao, Yang; Xiao, Di Physical Review B, Vol. 104, Issue 14 https://doi.org/10.1103/PhysRevB.104.144203	journal	October 2021
Dynamical matrices, Born effective charges, dielectric permittivity tensors, and interatomic force constants from density-functional perturbation theory Gonze, Xavier; Lee, Changyol Physical Review B, Vol. 55, Issue 16 https://doi.org/10.1103/PhysRevB.55.10355	journal	April 1997
Orbital magnetoelectric coupling in band insulators Essin, Andrew M.; Turner, Ari M.; Moore, Joel E. Physical Review B, Vol. 81, Issue 20 https://doi.org/10.1103/PhysRevB.81.205104	journal	May 2010
Three-dimensional Dirac semimetal and quantum transport in Cd 3 As 2 Wang, Zhijun; Weng, Hongming; Wu, Quansheng Physical Review B, Vol. 88, Issue 12 https://doi.org/10.1103/PhysRevB.88.125427	journal	September 2013
Single-valley engineering in graphene superlattices Ren, Yafei; Deng, Xinzhou; Qiao, Zhenhua Physical Review B, Vol. 91, Issue 24 https://doi.org/10.1103/PhysRevB.91.245415	journal	June 2015
Chiral anomaly factory: Creating Weyl fermions with a magnetic field Cano, Jennifer; Bradlyn, Barry; Wang, Zhijun Physical Review B, Vol. 95, Issue 16 https://doi.org/10.1103/PhysRevB.95.161306	journal	April 2017
Geometrodynamics of electrons in a crystal under position and time-dependent deformation Dong, Liang; Niu, Qian Physical Review B, Vol. 98, Issue 11 https://doi.org/10.1103/PhysRevB.98.115162	journal	September 2018
Quantum theory of mechanical deformations Stengel, Massimiliano; Vanderbilt, David Physical Review B, Vol. 98, Issue 12 https://doi.org/10.1103/PhysRevB.98.125133	journal	September 2018
Nondegenerate chiral phonons in the Brillouin-zone center of 3×3 honeycomb superlattices Xu, Xifang; Chen, Hao; Zhang, Lifa Physical Review B, Vol. 98, Issue 13 https://doi.org/10.1103/PhysRevB.98.134304	journal	October 2018
Polarization and Adiabatic Pumping in Inhomogeneous Crystals Xiao, Di; Shi, Junren; Clougherty, Dennis P. Physical Review Letters, Vol. 102, Issue 8 https://doi.org/10.1103/PhysRevLett.102.087602	journal	February 2009
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
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
Thermal Hall Effect in a Phonon-Glass Ba 3 CuSb 2 O 9 Sugii, K.; Shimozawa, M.; Watanabe, D. Physical Review Letters, Vol. 118, Issue 14 https://doi.org/10.1103/PhysRevLett.118.145902	journal	April 2017
Pseudospins and Topological Effects of Phonons in a Kekulé Lattice Liu, Yizhou; Lian, Chao-Sheng; Li, Yang Physical Review Letters, Vol. 119, Issue 25 https://doi.org/10.1103/PhysRevLett.119.255901	journal	December 2017
Experimental Evidence of Chiral Symmetry Breaking in Kekulé-Ordered Graphene Bao, Changhua; Zhang, Hongyun; Zhang, Teng Physical Review Letters, Vol. 126, Issue 20 https://doi.org/10.1103/PhysRevLett.126.206804	journal	May 2021
Electric Polarization of Heteropolar Nanotubes as a Geometric Phase Mele, E. J.; Král, Petr Physical Review Letters, Vol. 88, Issue 5 https://doi.org/10.1103/PhysRevLett.88.056803	journal	January 2002
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
Orbital Magnetization in Periodic Insulators Thonhauser, T.; Ceresoli, Davide; Vanderbilt, David Physical Review Letters, Vol. 95, Issue 13 https://doi.org/10.1103/PhysRevLett.95.137205	journal	September 2005
Phenomenological Evidence for the Phonon Hall Effect Strohm, C.; Rikken, G. L. J. A.; Wyder, P. Physical Review Letters, Vol. 95, Issue 15 https://doi.org/10.1103/PhysRevLett.95.155901	journal	October 2005
Dynamical multiferroicity Juraschek, Dominik M.; Fechner, Michael; Balatsky, Alexander V. Physical Review Materials, Vol. 1, Issue 1 https://doi.org/10.1103/PhysRevMaterials.1.014401	journal	June 2017
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
Soft phonons and ultralow lattice thermal conductivity in the Dirac semimetal Cd 3 As 2 Yue, Shengying; Chorsi, Hamid T.; Goyal, Manik Physical Review Research, Vol. 1, Issue 3 https://doi.org/10.1103/PhysRevResearch.1.033101	journal	November 2019
Conversion between electron spin and microscopic atomic rotation Hamada, Masato; Murakami, Shuichi Physical Review Research, Vol. 2, Issue 2 https://doi.org/10.1103/PhysRevResearch.2.023275	journal	June 2020
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
Second Chern number of a quantum-simulated non-Abelian Yang monopole Sugawa, Seiji; Salces-Carcoba, Francisco; Perry, Abigail R. Science, Vol. 360, Issue 6396 https://doi.org/10.1126/science.aam9031	journal	June 2018
Observation of chiral phonons Zhu, Hanyu; Yi, Jun; Li, Ming-Yang Science, Vol. 359, Issue 6375 https://doi.org/10.1126/science.aar2711	journal	February 2018
On the phonon Hall effect in a paramagnetic dielectric Inyushkin, A. V.; Taldenkov, A. N. JETP Letters, Vol. 86, Issue 6 https://doi.org/10.1134/S0021364007180075	journal	November 2007

Figures / Tables (3)

FIG. 1(p. 3)

FIG. 2(p. 4)

FIG. 3(p. 5)

Similar Records

Gate-Tunable Phonon Magnetic Moment in Bilayer Graphene

Journal Article · Wed May 31 20:00:00 EDT 2023 · Physical Review Letters · OSTI ID:2420195

Bogomol'nyi limit for nontopological solitons in a Chern-Simons model with anomalous magnetic moment

Journal Article · Tue Sep 15 00:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States) · OSTI ID:7027605

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Physics
electron-phonon coupling
magnetic moment
magnetism
phonons
topological phases of matter

Phonon Magnetic Moment from Electronic Topological Magnetization

Citation Formats

References (46)

Figures / Tables (3)

Similar Records

Related Subjects