- Letter
- Open Access
Nonreciprocal phonon dichroism induced by Fermi pocket anisotropy in two-dimensional Dirac materials
Phys. Rev. Research 5, L022038 – Published 23 May, 2023
DOI: https://doi.org/10.1103/PhysRevResearch.5.L022038
Abstract
Electrons in two-dimensional (2D) Dirac materials carry local band geometric quantities, such as the Berry curvature and orbital magnetic moments, which, combined with electron-phonon coupling, may affect the phonon dynamics in an unusual way. Here, we propose intrinsic nonreciprocal linear and circular phonon dichroism in magnetic 2D Dirac materials, which originate from nonlocal band geometric quantities of electrons and reduce to pure Fermi-surface properties for acoustic phonons. We find that to acquire the nonreciprocity, the Fermi pocket anisotropy rather than the chirality of electrons is crucial. Two possible mechanisms of Fermi pocket anisotropy are suggested: (i) trigonal warping and out-of-plane magnetization or (ii) Rashba spin-orbit interaction and in-plane magnetization. As a concrete example, we predict appreciable and tunable nonreciprocal phonon dichroism in 2H- on a EuO substrate. Our finding points to a different route towards electrical control of phonon nonreciprocity for acoustoelectronics applications based on 2D quantum materials.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (61)
- A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, The electronic properties of graphene, Rev. Mod. Phys. 81, 109 (2009).
- D. Xiao, G.-B. Liu, W. Feng, X. Xu, and W. Yao, Coupled Spin and Valley Physics in Monolayers of and Other Group-VI Dichalcogenides, Phys. Rev. Lett. 108, 196802 (2012).
- M. V. Berry, Quantal phase factors accompanying adiabatic changes, Proc. R. Soc. London, Ser. A 392, 45 (1984).
- F. D. M. Haldane, Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the “Parity Anomaly”, Phys. Rev. Lett. 61, 2015 (1988).
- D. Xiao, M.-C. Chang, and Q. Niu, Berry phase effects on electronic properties, Rev. Mod. Phys. 82, 1959 (2010).
- D. Xiao, W. Yao, and Q. Niu, Valley-Contrasting Physics in Graphene: Magnetic Moment and Topological Transport, Phys. Rev. Lett. 99, 236809 (2007).
- W. Yao, D. Xiao, and Q. Niu, Valley-dependent optoelectronics from inversion symmetry breaking, Phys. Rev. B 77, 235406 (2008).
- M. Barkeshli, S. B. Chung, and X.-L. Qi, Dissipationless phonon Hall viscosity, Phys. Rev. B 85, 245107 (2012).
- P. Rinkel, P. L. S. Lopes, and I. Garate, Signatures of the Chiral Anomaly in Phonon Dynamics, Phys. Rev. Lett. 119, 107401 (2017).
- Y. Ren, C. Xiao, D. Saparov, and Q. Niu, Phonon Magnetic Moment from Electronic Topological Magnetization, Phys. Rev. Lett. 127, 186403 (2021).
- B. Z. Spivak and A. V. Andreev, Magnetotransport phenomena related to the chiral anomaly in Weyl semimetals, Phys. Rev. B 93, 085107 (2016).
- S. Sengupta, M. N. Y. Lhachemi, and I. Garate, Phonon Magnetochiral Effect of Band-Geometric Origin in Weyl Semimetals, Phys. Rev. Lett. 125, 146402 (2020).
- L.-H. Hu, J. Yu, I. Garate, and C.-X. Liu, Phonon Helicity Induced by Electronic Berry Curvature in Dirac Materials, Phys. Rev. Lett. 127, 125901 (2021).
- N. Li, J. Ren, L. Wang, G. Zhang, P. Hänggi, and B. Li, Colloquium: Phononics: Manipulating heat flow with electronic analogs and beyond, Rev. Mod. Phys. 84, 1045 (2012).
- J. Heil, B. Lüthi, and P. Thalmeier, Nonreciprocal surface-acoustic-wave propagation in aluminum, Phys. Rev. B 25, 6515 (1982).
- Z. Liu, K. Guo, G. Hu, Z. Shi, Y. Li, L. Zhang, H. Chen, L. Zhang, P. Zhou, H. Lu, M.-L. Lin, S. Liu, Y. Cheng, X. L. Liu, J. Xie, L. Bi, P.-H. Tan, L. Deng, C.-W. Qiu, and B. Peng, Observation of nonreciprocal magnetophonon effect in nonencapsulated few-layered , Sci. Adv. 6, eabc7628 (2020).
- P. R. Emtage, Nonreciprocal attenuation of magnetoelastic surface waves, Phys. Rev. B 13, 3063 (1976).
- R. Sasaki, Y. Nii, Y. Iguchi, and Y. Onose, Nonreciprocal propagation of surface acoustic wave in , Phys. Rev. B 95, 020407(R) (2017).
- T. Nomura, X.-X. Zhang, S. Zherlitsyn, J. Wosnitza, Y. Tokura, N. Nagaosa, and S. Seki, Phonon Magnetochiral Effect, Phys. Rev. Lett. 122, 145901 (2019).
- M. Xu, K. Yamamoto, J. Puebla, K. Baumgaertl, B. Rana, K. Miura, H. Takahashi, D. Grundler, S. Maekawa, and Y. Otani, Nonreciprocal surface acoustic wave propagation via magneto-rotation coupling, Sci. Adv. 6, eabb1724 (2020).
- P. J. Shah, D. A. Bas, I. Lisenkov, A. Matyushov, N. X. Sun, and M. R. Page, Giant nonreciprocity of surface acoustic waves enabled by the magnetoelastic interaction, Sci. Adv. 6, eabc5648 (2020).
- A. Hernández-Mínguez, F. Macià, J. M. Hernàndez, J. Herfort, and P. V. Santos, Large Nonreciprocal Propagation of Surface Acoustic Waves in Epitaxial Ferromagnetic/Semiconductor Hybrid Structures, Phys. Rev. Appl. 13, 044018 (2020).
- S. Tateno and Y. Nozaki, Highly Nonreciprocal Spin Waves Excited by Magnetoelastic Coupling in a Bilayer, Phys. Rev. Appl. 13, 034074 (2020).
- B. Liang, X. S. Guo, J. Tu, D. Zhang, and J. C. Cheng, An acoustic rectifier, Nat. Mater. 9, 989 (2010).
- H. Xu, L. Jiang, A. A. Clerk, and J. G. E. Harris, Nonreciprocal control and cooling of phonon modes in an optomechanical system, Nature (London) 568, 65 (2019).
- Y. Ge and A. Y. Liu, Phonon-mediated superconductivity in electron-doped single-layer : A first-principles prediction, Phys. Rev. B 87, 241408(R) (2013).
- E. Navarro-Moratalla, J. O. Island, S. Mañas-Valero, E. Pinilla-Cienfuegos, A. Castellanos-Gomez, J. Quereda, G. Rubio-Bollinger, L. Chirolli, J. A. Silva-Guillén, N. Agraït, G. A. Steele, F. Guinea, H. S. J. van der Zant, and E. Coronado, Enhanced superconductivity in atomically thin , Nat. Commun. 7, 11043 (2016).
- Y. W. Choi and H. J. Choi, Strong electron-phonon coupling, electron-hole asymmetry, and nonadiabaticity in magic-angle twisted bilayer graphene, Phys. Rev. B 98, 241412(R) (2018).
- T. Sohier, E. Ponomarev, M. Gibertini, H. Berger, N. Marzari, N. Ubrig, and A. F. Morpurgo, Enhanced Electron-Phonon Interaction in Multivalley Materials, Phys. Rev. X 9, 031019 (2019).
- T. T. Han, L. Chen, C. Cai, Z. G. Wang, Y. D. Wang, Z. M. Xin, and Y. Zhang, Metal-Insulator Transition and Emergent Gapped Phase in the Surface-Doped 2D Semiconductor , Phys. Rev. Lett. 126, 106602 (2021).
- W.-Y. Shan, Anomalous circular phonon dichroism in transition metal dichalcogenides, Phys. Rev. B 105, L121302 (2022).
- D. Szaller, S. Bordács, and I. Kézsmárki, Symmetry conditions for nonreciprocal light propagation in magnetic crystals, Phys. Rev. B 87, 014421 (2013).
- S.-W. Cheong, D. Talbayev, V. Kiryukhin, and A. Saxena, Broken symmetries, non-reciprocity, and multiferroicity, npj Quantum Mater. 3, 19 (2018).
- Y. Tokura and N. Nagaosa, Nonreciprocal responses from non-centrosymmetric quantum materials, Nat. Commun. 9, 3740 (2018).
- T. Yu, Z. Luo, and G. E. Bauer, Chirality as generalized spin-orbit interaction in spintronics, Phys. Rep. 1009, 1 (2023).
- L. D. Landau and E. M. Lifschitz, Theory of Elasticity (Pergamon Press, Oxford, UK, 1959).
- H. Suzuura and T. Ando, Phonons and electron-phonon scattering in carbon nanotubes, Phys. Rev. B 65, 235412 (2002).
- D. Liu and J. Shi, Circular Phonon Dichroism in Weyl Semimetals, Phys. Rev. Lett. 119, 075301 (2017).
- W.-Y. Shan, Impact of novel electron-phonon coupling mechanisms on valley physics in two-dimensional materials, Phys. Rev. B 102, 241301(R) (2020).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.5.L022038 for calculation details.
- G. D. Mahan, Many-Particle Physics (Springer, Berlin, 2000).
- G. Giuliani and G. Vignale, Quantum Theory of the Electron Liquid, 1st ed. (Cambridge University Press, Cambridge, UK, 2005).
- P. Bhalla, G. Vignale, and H. Rostami, Pseudogauge field driven acoustoelectric current in two-dimensional hexagonal Dirac materials, Phys. Rev. B 105, 125407 (2022).
- C. L. Kane and E. J. Mele, Quantum Spin Hall Effect in Graphene, Phys. Rev. Lett. 95, 226801 (2005).
- J. Qi, X. Li, Q. Niu, and J. Feng, Giant and tunable valley degeneracy splitting in , Phys. Rev. B 92, 121403(R) (2015).
- T. Norden, C. Zhao, P. Zhang, R. Sabirianov, A. Petrou, and H. Zeng, Giant valley splitting in monolayer by magnetic proximity effect, Nat. Commun. 10, 4163 (2019).
- Q. Cui, Y. Zhu, J. Liang, P. Cui, and H. Yang, Spin-valley coupling in a two-dimensional monolayer, Phys. Rev. B 103, 085421 (2021).
- F. C. Chen, X. Luo, R. C. Xiao, W. J. Lu, B. Zhang, H. X. Yang, J. Q. Li, Q. L. Pei, D. F. Shao, R. R. Zhang, L. S. Ling, C. Y. Xi, W. H. Song, and Y. P. Sun, Superconductivity enhancement in the S-doped Weyl semimetal candidate , Appl. Phys. Lett. 108, 162601 (2016).
- B. R. Rano, I. M. Syed, and S. H. Naqib, Elastic, electronic, bonding, and optical properties of Weyl semimetal: A comparative investigation with from first principles, Results in Physics 19, 103639 (2020).
- L. Onsager, Reciprocal Relations in Irreversible Processes. I., Phys. Rev. 37, 405 (1931).
- G. L. J. A. Rikken, J. Fölling, and P. Wyder, Electrical Magnetochiral Anisotropy, Phys. Rev. Lett. 87, 236602 (2001).
- G.-B. Liu, W.-Y. Shan, Y. Yao, W. Yao, and D. Xiao, Three-band tight-binding model for monolayers of group-VIB transition metal dichalcogenides, Phys. Rev. B 88, 085433 (2013).
- A. Kormányos, V. Zólyomi, N. D. Drummond, P. Rakyta, G. Burkard, and V. I. Fal'ko, Monolayer : Trigonal warping, the valley, and spin-orbit coupling effects, Phys. Rev. B 88, 045416 (2013).
- R. Battilomo, N. Scopigno, and C. Ortix, Berry Curvature Dipole in Strained Graphene: A Fermi Surface Warping Effect, Phys. Rev. Lett. 123, 196403 (2019).
- R. Wakatsuki, Y. Saito, S. Hoshino, Y. M. Itahashi, T. Ideue, M. Ezawa, Y. Iwasa, and N. Nagaosa, Nonreciprocal charge transport in noncentrosymmetric superconductors, Sci. Adv. 3, e1602390 (2017).
- R. Wakatsuki and N. Nagaosa, Nonreciprocal Current in Noncentrosymmetric Rashba Superconductors, Phys. Rev. Lett. 121, 026601 (2018).
- S. Hoshino, R. Wakatsuki, K. Hamamoto, and N. Nagaosa, Nonreciprocal charge transport in two-dimensional noncentrosymmetric superconductors, Phys. Rev. B 98, 054510 (2018).
- T. Ideue, K. Hamamoto, S. Koshikawa, M. Ezawa, S. Shimizu, Y. Kaneko, Y. Tokura, N. Nagaosa, and Y. Iwasa, Bulk rectification effect in a polar semiconductor, Nat. Phys. 13, 578 (2017).
- R. Asgari and D. Culcer, Unidirectional valley-contrasting photocurrent in strained transition metal dichalcogenide monolayers, Phys. Rev. B 105, 195418 (2022).
- R. Truell, C. Elbaum, and B. B. Chick, Ultrasonic Methods in Solid State Physics (Academic, New York, 1969).
- B. Lüthi, Physical Acoustics in the Solid State (Springer, Berlin, 2004).