Abstract
Recent years have witnessed a much broader use of Brillouin inelastic light-scattering spectroscopy for the investigation of phonons and magnons in novel materials, nanostructures and devices. Driven by the developments in instrumentation and the strong need for accurate knowledge on the energies of elemental excitations, Brillouin–Mandelstam spectroscopy is rapidly becoming an essential technique that is complementary to Raman inelastic light-scattering spectroscopy. We provide an overview of recent progress in the Brillouin light-scattering technique, focusing on the use of this photonic method for the investigation of confined acoustic phonons, phononic metamaterials and magnon propagation and scattering. This Review emphasizes the emerging applications of Brillouin–Mandelstam spectroscopy for phonon-engineered structures and spintronic devices, and concludes with a perspective on future directions.
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References
Brillouin, L. Diffusion de la lumière et des rayons X par un corps transparent homogène. Influence de l’agitation thermique. Ann. Phys. 17, 88–122 (1922).
Mandelstam, L. Light scattering by inhomogeneous media. Zh. Russ. Fiz. Khim. Ova. 58, 381 (1926).
Meng, Z., Traverso, A. J., Ballmann, C. W., Troyanova-Wood, M. A. & Yakovlev, V. V. Seeing cells in a new light: a renaissance of Brillouin spectroscopy. Adv. Opt. Photonics 8, 300–327 (2016).
Raman, C. V. & Krishnan, K. S. A new type of secondary radiation. Nature 121, 501–502 (1928).
Cardona, M. & Merlin, R. in Light Scattering in Solids IX Vol. 108 (eds Cardona, M. & Merlin, R.) Ch. 1 (Springer, 2006).
Fabelinskiĭ, I. L. The prediction and discovery of Rayleigh line fine structure. Usp. Fiz. Nauk 170, 107–108 (2000).
Fabelinskiĭ, I. L. The discovery of combination scattering of light in Russia and India. Phys. Usp. 46, 1105–1112 (2003).
Gross, E. Change of wave-length of light due to elastic waves at scattering in liquids. Nature 126, 201–202 (1930).
Gross, E. The splitting of spectral lines at scattering of light by liquids. Nature 126, 400 (1930).
Gross, E. über Änderung der WellenlÄnge bei Lichtzerstreuung in Kristallen. Z. Phys. 63, 685–687 (1930).
Sandercock, J. R. in Light Scattering in Solids III Vol. 51 (eds Cardona, M. & Güntherodt, G.) 173–206 (Springer, 1982).
Scarponi, F. et al. High-performance versatile setup for simultaneous Brillouin–Raman microspectroscopy. Phys. Rev. X 7, 031015 (2017).
Speziale, S., Marquardt, H. & Duffy, T. S. Brillouin scattering and its application in geosciences. Rev. Mineral. Geochem. 78, 543–603 (2014).
Huang, C. Y. T. et al. Phononic and photonic properties of shape-engineered silicon nanoscale pillar arrays. Nanotechnology 31, 30LT01 (2020).
Sledzinska, M. et al. 2D phononic crystals: progress and prospects in hypersound and thermal transport engineering. Adv. Funct. Mater. 30, 1904434 (2019).
Graczykowski, B. et al. Phonon dispersion in hypersonic two-dimensional phononic crystal membranes. Phys. Rev. B 91, 075414 (2015).
Yudistira, D. et al. Nanoscale pillar hypersonic surface phononic crystals. Phys. Rev. B 94, 094304 (2016).
Rakhymzhanov, A. M. et al. Band structure of cavity-type hypersonic phononic crystals fabricated by femtosecond laser-induced two-photon polymerization. Appl. Phys. Lett. 108, 201901 (2016).
Alonso-Redondo, E. et al. Phoxonic hybrid superlattice. ACS Appl. Mater. Interfaces 7, 12488–12495 (2015).
Gomopoulos, N. et al. One-dimensional hypersonic phononic crystals. Nano Lett. 10, 980–984 (2010).
Schneider, D. et al. Engineering the hypersonic phononic band gap of hybrid Bragg stacks. Nano Lett. 12, 3101–3108 (2012).
Parsons, L. C. & Andrews, G. T. Off-axis phonon and photon propagation in porous silicon superlattices studied by Brillouin spectroscopy and optical reflectance. J. Appl. Phys. 116, 033510 (2014).
Kargar, F. et al. Acoustic phonon dispersion engineering in bulk crystals via incorporation of dopant atoms. Appl. Phys. Lett. 112, 191902 (2018).
Kargar, F. et al. Direct observation of confined acoustic phonon polarization branches in free-standing semiconductor nanowires. Nat. Commun. 7, 13400 (2016).
Kuok, M. H., Lim, H. S., Ng, S. C., Liu, N. N. & Wang, Z. K. Brillouin study of the quantization of acoustic modes in nanospheres. Phys. Rev. Lett. 90, 255502 (2003).
Cuffe, J. et al. Phonons in slow motion: dispersion relations in ultrathin Si membranes. Nano Lett. 12, 3569–3573 (2012).
Graczykowski, B. et al. Elastic properties of few nanometers thick polycrystalline MoS2 membranes: a nondestructive study. Nano Lett. 17, 7647–7651 (2017).
Li, Y. et al. Brillouin study of acoustic phonon confinement in GeO2 nanocubes. Appl. Phys. Lett. 91, 093116 (2007).
Kargar, F. et al. Acoustic phonon spectrum and thermal transport in nanoporous alumina arrays. Appl. Phys. Lett. 107, 171904 (2015).
Berrod, Q., Lagrené, K., Ollivier, J. & Zanotti, J.-M. Inelastic and quasi-elastic neutron scattering. Application to soft-matter. EPJ Web Conf. 188, 05001 (2018).
Demokritov, S. O. et al. Bose–Einstein condensation of quasi-equilibrium magnons at room temperature under pumping. Nature 443, 430–433 (2006).
Demidov, V. E. et al. Excitation of coherent propagating spin waves by pure spin currents. Nat. Commun. 7, 10446 (2016).
Holanda, J., Maior, D. S., Azevedo, A. & Rezende, S. M. Detecting the phonon spin in magnon–phonon conversion experiments. Nat. Phys. 14, 500–506 (2018).
Cho, J. et al. Thickness dependence of the interfacial Dzyaloshinskii–Moriya interaction in inversion symmetry broken systems. Nat. Commun. 6, 7635 (2015).
Balinskiy, M., Kargar, F., Chiang, H., Balandin, A. A. & Khitun, A. G. Brillouin–Mandelstam spectroscopy of standing spin waves in a ferrite waveguide. AIP Adv. 8, 056017 (2018).
Rumyantsev, S., Balinskiy, M., Kargar, F., Khitun, A. & Balandin, A. A. The discrete noise of magnons. Appl. Phys. Lett. 114, 090601 (2019).
Eggleton, B. J., Poulton, C. G., Rakich, P. T., Steel, M. J. & Bahl, G. Brillouin integrated photonics. Nat. Photonics 13, 664–677 (2019).
Zarifi, A. et al. Brillouin spectroscopy of a hybrid silicon-chalcogenide waveguide with geometrical variations. Opt. Lett. 43, 3493–3496 (2018).
Boyd, R. W. Nonlinear Optics 4th edn (Elsevier, 2020).
Hayes, W. & Loudon, R. Scattering of Light by Crystals (Wiley, 1978).
Mutti, P. et al. in Advances in Acoustic Microscopy Vol. 1 (ed. Briggs, A.) 249–300 (Springer, 1995).
Bottani, C. E. & Fioretto, D. Brillouin scattering of phonons in complex materials. Adv. Phys. X 3, 607–633 (2018).
Olsson, K. S., An, K. & Li, X. Magnon and phonon thermometry with inelastic light scattering. J. Phys. D 51, 133001 (2018).
Loudon, R. Theory of surface-ripple Brillouin scattering by solids. Phys. Rev. Lett. 40, 581–583 (1978).
Balandin, A. A. & Nika, D. L. Phononics in low-dimensional materials. Mater. Today 15, 266–275 (2012).
Balandin, A. A. Phononics of graphene and related materials. ACS Nano 14, 5170–5178 (2020).
Balandin, A. A. Thermal properties of graphene and nanostructured carbon materials. Nat. Mater. 10, 569–581 (2011).
Xiao, Y., Chen, Q., Ma, D., Yang, N. & Hao, Q. Phonon transport within periodic porous structures—from classical phonon size effects to wave effects. ES Mater. Manuf. 5, 2–18 (2019).
Hussein, M. I., Tsai, C. & Honarvar, H. Thermal conductivity reduction in a nanophononic metamaterial versus a nanophononic crystal: a review and comparative analysis. Adv. Funct. Mater. 30, 1906718 (2020).
Djafari-Rouhani, B., El-Jallal, S. & Pennec, Y. Phoxonic crystals and cavity optomechanics. C. R. Phys. 17, 555–564 (2016).
Johnson, W. L. et al. Vibrational modes of GaN nanowires in the gigahertz range. Nanotechnology 23, 495709 (2012).
Still, T. et al. The ‘music’ of core–shell spheres and hollow capsules: influence of the architecture on the mechanical properties at the nanoscale. Nano Lett. 8, 3194–3199 (2008).
Sun, J. Y. et al. Hypersonic vibrations of Ag@SiO2 (cubic core)–shell nanospheres. ACS Nano 4, 7692–7698 (2010).
Balandin, A. & Wang, K. L. Significant decrease of the lattice thermal conductivity due to phonon confinement in a free-standing semiconductor quantum well. Phys. Rev. B 58, 1544–1549 (1998).
Pokatilov, E. P., Nika, D. L. & Balandin, A. A. Confined electron-confined phonon scattering rates in wurtzite AlN/GaN/AlN heterostructures. J. Appl. Phys. 95, 5626–5632 (2004).
Duval, E. Far-infrared and Raman vibrational transitions of a solid sphere: selection rules. Phys. Rev. B 46, 5795–5797 (1992).
Dainese, P. et al. Stimulated Brillouin scattering from multi-GHz-guided acoustic phonons in nanostructured photonic crystal fibres. Nat. Phys. 2, 388–392 (2006).
Pennec, Y. et al. Sensing light and sound velocities of fluids in 2D phoxonic crystal slab. In Proc. IEEE Sensors 355–357 (IEEE, 2014).
Eichenfield, M., Chan, J., Camacho, R. M., Vahala, K. J. & Painter, O. Optomechanical crystals. Nature 462, 78–82 (2009).
Garín, M., Solà, M., Julian, A. & Ortega, P. Enabling silicon-on-silicon photonics with pedestalled Mie resonators. Nanoscale 10, 14406–14413 (2018).
Sebastian, T., Schultheiss, K., Obry, B., Hillebrands, B. & Schultheiss, H. Micro-focused Brillouin light scattering: imaging spin waves at the nanoscale. Front. Phys. 3, 35 (2015).
Madami, M., Gubbiotti, G., Tacchi, S., Carlotti, G. & Stamps, R. L. Application of microfocused Brillouin light scattering to the study of spin waves in low-dimensional magnetic systems. Solid State Phys. 63, 79–150 (2012).
Cottam, M. G. & Lockwood, D. J. Light Scattering in Magnetic Solids (Wiley, 1986).
Rezende, S. M. Fundamentals of Magnonics Vol. 969 (Springer, 2020)
Fleury, P. A. & Loudon, R. Scattering of light by one- and two-magnon excitations. Phys. Rev. 166, 514–530 (1968).
Demidov, V. E. & Demokritov, S. O. Magnonic waveguides studied by microfocus brillouin light scattering. IEEE Trans. Magn. 51, 0800215 (2015).
Demokritov, S. O., Hillebrands, B. & Slavin, A. N. Brillouin light scattering studies of confined spin waves: linear and nonlinear confinement. Phys. Rep. 348, 441–489 (2001).
Serga, A. A., Schneider, T., Hillebrands, B., Demokritov, S. O. & Kostylev, M. P. Phase-sensitive Brillouin light scattering spectroscopy from spin-wave packets. Appl. Phys. Lett. 89, 063506 (2006).
Vogt, K. et al. All-optical detection of phase fronts of propagating spin waves in a Ni81Fe19 microstripe. Appl. Phys. Lett. 95, 182508 (2009).
Pirro, P. et al. Interference of coherent spin waves in micron-sized ferromagnetic waveguides. Phys. Status Solidi B 248, 2404–2408 (2011).
Vogt, K. et al. Spin waves turning a corner. Appl. Phys. Lett. 101, 042410 (2012).
Vogt, K. et al. Realization of a spin-wave multiplexer. Nat. Commun. 5, 3727 (2014).
Borisenko, I. V. et al. Direct evidence of spatial stability of Bose-Einstein condensate of magnons. Nat. Commun. 11, 1691 (2020).
Nembach, H. T., Shaw, J. M., Weiler, M., Jué, E. & Silva, T. J. Linear relation between Heisenberg exchange and interfacial Dzyaloshinskii–Moriya interaction in metal films. Nat. Phys. 11, 825–829 (2015).
Ma, X. et al. Interfacial Dzyaloshinskii-Moriya interaction: effect of 5d band filling and correlation with spin mixing conductance. Phys. Rev. Lett. 120, 157204 (2018).
Benguettat-El Mokhtari, I. et al. Interfacial Dzyaloshinskii-Moriya interaction, interface-induced damping and perpendicular magnetic anisotropy in Pt/Co/W based multilayers. J. Appl. Phys. 126, 133902 (2019).
Bouloussa, H. et al. Dzyaloshinskii-Moriya interaction induced asymmetry in dispersion of magnonic Bloch modes. Phys. Rev. B 102, 014412 (2020).
Stashkevich, A. A., Djemia, P., Fetisov, Y. K., Bizière, N. & Fermon, C. High-intensity Brillouin light scattering by spin waves in a permalloy film under microwave resonance pumping. J. Appl. Phys. 102, 103905 (2007).
Demidov, V. E. et al. Generation of the second harmonic by spin waves propagating in microscopic stripes. Phys. Rev. B 83, 054408 (2011).
Demidov, V. E. et al. Nonlinear propagation of spin waves in microscopic magnetic stripes. Phys. Rev. Lett. 102, 177207 (2009).
Jersch, J. et al. Mapping of localized spin-wave excitations by near-field Brillouin light scattering. Appl. Phys. Lett. 97, 152502 (2010).
Rezende, S. M. Theory of coherence in Bose–Einstein condensation phenomena in a microwave-driven interacting magnon gas. Phys. Rev. B 79, 174411 (2009).
Rüegg, C. et al. Bose–Einstein condensation of the triplet states in the magnetic insulator TlCuCl3. Nature 423, 62–65 (2003).
Demidov, V. E., Dzyapko, O., Demokritov, S. O., Melkov, G. A. & Slavin, A. N. Observation of spontaneous coherence in Bose–Einstein condensate of magnons. Phys. Rev. Lett. 100, 047205 (2008).
Tupitsyn, I. S., Stamp, P. C. E. & Burin, A. L. Stability of Bose–Einstein condensates of hot magnons in yttrium iron garnet films. Phys. Rev. Lett. 100, 257202 (2008).
Gubbiotti, G. et al. Finite size effects in patterned magnetic permalloy films. J. Appl. Phys. 87, 5633–5635 (2000).
Roussigné, Y., Chérif, S. M., Dugautier, C. & Moch, P. Experimental and theoretical study of quantized spin-wave modes in micrometer-size permalloy wires. Phys. Rev. B 63, 134429 (2001).
Chérif, S. M., Roussigné, Y. E. & Moch, P. Finite-size effects in arrays of permalloy square dots. IEEE Trans. Magn. 38, 2529–2531 (2002).
Gubbiotti, G. et al. Magnetostatic interaction in arrays of nanometric permalloy wires: a magneto-optic Kerr effect and a Brillouin light scattering study. Phys. Rev. B 72, 224413 (2005).
Kargar, F. et al. Brillouin–Mandelstam spectroscopy of stress-modulated spatially confined spin waves in Ni thin films on piezoelectric substrates. J. Magn. Magn. Mater. 501, 166440 (2020).
Birt, D. R. et al. Brillouin light scattering spectra as local temperature sensors for thermal magnons and acoustic phonons. Appl. Phys. Lett. 102, 082401 (2013).
Gubbiotti, G. et al. Brillouin light scattering studies of planar metallic magnonic crystals. J. Phys. D 43, 264003 (2010).
Bailey, M. et al. Viscoelastic properties of biopolymer hydrogels determined by Brillouin spectroscopy: a probe of tissue micromechanics. Sci. Adv. 6, eabc1937 (2020).
Graczykowski, B., Vogel, N., Bley, K., Butt, H.-J. & Fytas, G. Multiband hypersound filtering in two-dimensional colloidal crystals: adhesion, resonances, and periodicity. Nano Lett. 20, 1883–1889 (2020).
Hesami, M. et al. Elastic wave propagation in smooth and wrinkled stratified polymer films. Nanotechnology 30, 045709 (2019).
Graczykowski, B., Gueddida, A., Djafari-Rouhani, B., Butt, H.-J. & Fytas, G. Brillouin light scattering under one-dimensional confinement: symmetry and interference self-canceling. Phys. Rev. B 99, 165431 (2019).
Alonso-Redondo, E. et al. Robustness of elastic properties in polymer nanocomposite films examined over the full volume fraction range. Sci Rep. 8, 16986 (2018).
Sato, A. et al. Cavity-type hypersonic phononic crystals. New J. Phys. 14, 113032 (2012).
Koski, K. J., Akhenblit, P., McKiernan, K. & Yarger, J. L. Non-invasive determination of the complete elastic moduli of spider silks. Nat. Mater. 12, 262–267 (2013).
Scarcelli, G. et al. Noncontact three-dimensional mapping of intracellular hydromechanical properties by Brillouin microscopy. Nat. Methods 12, 1132–1134 (2015).
Wu, P. J. et al. Water content, not stiffness, dominates Brillouin spectroscopy measurements in hydrated materials. Nat. Methods 15, 561–562 (2018).
Prevedel, R., Diz-Muñoz, A., Ruocco, G. & Antonacci, G. Brillouin microscopy: an emerging tool for mechanobiology. Nat. Methods 16, 969–977 (2019).
So, P. Brillouin bioimaging. Nat. Photonics 2, 13–14 (2008).
Scarcelli, G. & Yun, S. H. Confocal Brillouin microscopy for three-dimensional mechanical imaging. Nat. Photonics 2, 39–43 (2008).
Pérez-Cota, F. et al. High resolution 3D imaging of living cells with sub-optical wavelength phonons. Sci Rep. 6, 39326 (2016).
Wang, P., Lu, L. & Bertoldi, K. Topological phononic crystals with one-way elastic edge waves. Phys. Rev. Lett. 115, 104302 (2015).
Yang, Z. et al. Topological acoustics. Phys. Rev. Lett. 114, 114301 (2015).
Mousavi, S. H., Khanikaev, A. B. & Wang, Z. Topologically protected elastic waves in phononic metamaterials. Nat. Commun. 6, 8682 (2015).
He, C. et al. Acoustic topological insulator and robust one-way sound transport. Nat. Phys. 12, 1124–1129 (2016).
Zhu, H. et al. Observation of chiral phonons. Science 359, 579–582 (2018).
Chen, H., Zhang, W., Niu, Q. & Zhang, L. Chiral phonons in two-dimensional materials. 2D Mater. 6, 012002 (2019).
Griffin, A. Brillouin light scattering from crystals in the hydrodynamic region. Rev. Mod. Phys. 40, 167–205 (1968).
Huberman, S. et al. Observation of second sound in graphite at temperatures above 100 K. Science 364, 375–379 (2019).
Lee, S. & Li, X. in Nanoscale Energy Transport (ed. Liao, B.) Ch. 1 (IOP, 2020).
Aytan, E. et al. Spin–phonon coupling in antiferromagnetic nickel oxide. Appl. Phys. Lett. 111, 252402 (2017).
An, K. et al. Magnons and phonons optically driven out of local equilibrium in a magnetic insulator. Phys. Rev. Lett. 117, 107202 (2016).
Sandercock, J. R. & Wettling, W. Light scattering from thermal acoustic magnons in yttrium iron garnet. Solid State Commun. 13, 1729–1732 (1973).
Burch, K. S., Mandrus, D. & Park, J. G. Magnetism in two-dimensional van der Waals materials. Nature 563, 47–52 (2018).
Kargar, F. et al. Phonon and thermal properties of quasi-two-dimensional FePS3 and MnPS3 antiferromagnetic semiconductors. ACS Nano 14, 2424–2435 (2020).
Balandin, A. A. et al. Superior thermal conductivity of single-layer graphene. Nano Lett. 8, 902–907 (2008).
Acknowledgements
We acknowledge the support of the National Science Foundation (NSF) via a Major Research Instrumentation (MRI) project DMR 2019056 entitled ‘Development of a Cryogenic Integrated Micro-Raman-Brillouin-Mandelstam Spectrometer’. A.A.B. also acknowledges the support of the Designing Materials to Revolutionize and Engineer our Future (DMREF) program via a project DMR-1921958 entitled ‘Collaborative research: data driven discovery of synthesis pathways and distinguishing electronic phenomena of 1D van der Waals bonded solids’, and the support of the US Department of Energy (DOE) via a project DE-SC0021020 entitled ‘Physical mechanisms and electric-bias control of phase transitions in quasi-2D charge-density-wave quantum materials’. We thank M. Kargar and Z. Barani for their help with the preparation of schematics in Figs. 1e and 3a.
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Kargar, F., Balandin, A.A. Advances in Brillouin–Mandelstam light-scattering spectroscopy. Nat. Photon. 15, 720–731 (2021). https://doi.org/10.1038/s41566-021-00836-5
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DOI: https://doi.org/10.1038/s41566-021-00836-5
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