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Notes
- 1.
Measurements of a single diffraction spot are discussed in Appendix C.6.
- 2.
Linear-optical spectroscopy has been performed from the ultraviolet to the near infrared spectral region using a JASCO MSV-370 microspectrometer in our laboratories. Furthermore, the spectral region from the mid infrared to the far infrared has been probed using a Bruker 80V FTIR in the laboratories of Prof. Dr. Leonardo Degiorgi at ETH Zurich.
References
Zvezdin AK, Kotov VA (1997) Modern magnetooptics and magnetooptical materials. Institute of Physics Publication
Kronmueller H, Parkin S (eds) (2007) Handbook of magnetism and advanced magnetic materials, 1st edn. Wiley. http://dx.doi.org/10.1002/9780470022184
Hubert A, Schaefer R (2009) Magnetic domains: the analysis of magnetic microstructures. Springer
Nagaosa N et al (2010) Anomalous Hall effect. Rev Mod Phys 82(2):1539–1592. https://doi.org/10.1103/RevModPhys.82.1539
Saito M et al (2008) Magnetically controllable CuB2O4 phase retarder. Appl Phys Exp 1. https://doi.org/10.1143/APEX.1.121302
Baranova NB, Bogdanov YV, Zel’dovich BY (1977) New electro-optical and magneto-optical effects in liquids. Soviet Phys Uspekhi 20(10):870–877. https://mr.crossref.org/iPage?doi=10.10702FPU1977v020n10ABEH005470
Arima T (2008) Magneto-electric optics in non-centrosymmetric ferromagnets. J Phys Condens Matter 20(43):434211. https://doi.org/10.1103/PhysRevB.70.064426
Szaller D, Bordacs S, Kezsmarki I (2013) Symmetry conditions for nonreciprocal light propagation in magnetic crystals. Phys Rev B 87(1):014421. https://doi.org/10.1103/PhysRevB.87.014421
Tomita S et al (2018) Metamaterials with magnetism and chirality. J Phys D Appl Phys 51(8):083001. https://doi.org/10.1088/1361-6463/aa9ecb
Cheong S-W et al (2018) Broken symmetries, non-reciprocity, and multiferroicity. Npj Quant Mater 3(1):19. http://dx.doi.org/10.1038/nmat1804
Tokura Y, Nagaosa N (2018) Nonreciprocal responses from non-centrosymmetric quantum materials. Nat Commun 9(1):3740. https://doi.org/10.1088/0034-4885/77/7/076501
Toyoda S et al (2015) One-way transparency of light in multiferroic CuB\(_2\)O\(_4\). Phys Rev Lett 115(26):267207. https://doi.org/10.1103/PhysRevLett.115.267207
Saito M, Taniguchi K, Arima T-H (2008) Gigantic optical magnetoelectric effect in CuB\(_2\)O\(_4\). J Phys Soc Jpn 77(1):013705
Saito M et al (2008) Magnetic control of crystal chirality and the existence of a large magneto-optical dichroism effect in CuB\(_2\)O\(_4\). Phys Rev Lett 101(11). https://doi.org/10.1143/JPSJ.77.013705
Toyoda S, Abe N, Arima T (2016) Gigantic directional asymmetry of luminescence in multiferroic CuB\(_2\)O\(_4\). Phys Rev B 93(20):201109. https://doi.org/10.1103/PhysRevB.93.201109
Toyoda S, Abe N, Arima T (2019) Nonreciprocal refraction of light in a magnetoelectric material. Phys Rev Lett 123(7):077401. https://doi.org/10.1103/PhysRevLett.123.077401
Toyoda S et al (2020) Nonreciprocal second harmonic generation in a magnetoelectric material. arXiv 2006.01728. http://dx.doi.org/10.1103/PhysRevLett.115.267207
Kocsis V et al (2018) Identification of antiferromagnetic domains via the optical magnetoelectric effect. Phys Rev Lett 121(5):057601. https://doi.org/10.1103/PhysRevLett.121.057601
Kibayashi S et al (2014) Magnetochiral dichroism resonant with electromagnons in a helimagnet. Nat Commun 5(1):4583. https://doi.org/10.1038/ncomms5583
Jung JH et al (2004) Optical magnetoelectric effect in the polar GaFeO\(_3\) ferrimagnet. Phys Rev Lett 93(3):037403. https://doi.org/10.1103/PhysRevLett.93.037403
Igarashi J-I, Nagao T (2009) Analysis of optical magnetoelectric effect in GaFeO\(_3\). Phys Rev B 80(5):054418. https://doi.org/10.1103/PhysRevB.80.054418
Pisarev RV, Krichevtsov BB, Pavlov VV (1991) Optical study of the antiferromagneticparamagnetic phase transition in chromium oxide Cr\(_2\)O\(_3\). Phase Trans 37(1):63–72. https://www.tandfonline.com/doi/abs/10.1080/01411599108203448
Krichevtsov BB et al (1993) Spontaneous non-reciprocal reflection of light from antiferromagnetic Cr\(_2\)O\(_3\). J Phys Condens Matter 5(44):8233–8244. https://iopscience.iop.org/article/10.1088/0953-8984/5/44/014
Goulon J et al (2002) X-Ray magnetochiral dichroism: a new spectroscopic probe of parity nonconserving magnetic solids. Phys Rev Lett 88(23):237401. https://doi.org/10.1103/PhysRevLett.88.237401
Yokosuk MO et al (2020) Nonreciprocal directional dichroism of a chiral magnet in the visible range. npj Quan Mater 5(1):20. http://dx.doi.org/10.1038/s41535-020-0224-6
Kimura S, Matsumoto M, Tanaka H (2020) Electrical switching of the nonreciprocal directional microwave response in a triplon bose-Einstein condensate. Phys Rev Lett 124(21):217401. https://doi.org/10.1103/PhysRevLett.124.217401
Narita H et al (2016) Observation of nonreciprocal directional dichroism via electromagnon resonance in a chiral-lattice helimagnet Ba\(_3\)NbFe\(_3\)Si\(_2\)O\(_{14}\). Physical Review B 94(9):094433. https://doi.org/10.1103/PhysRevB.94.094433
Kezsmarki I et al (2011) Enhanced directional dichroism of Terahertz light in resonance with magnetic excitations of the multiferroic Ba\(_2\)CoGe\(_2\)O\(_7\) oxide compound. Phys Rev Lett 106(5):057403. https://doi.org/10.1103/PhysRevLett.106.057403
Bordacs S et al (2012) Chirality of matter shows up via spin excitations. Nat Phys 8(10):734–738. https://www.nature.com/articles/nphys2387
Kezsmarki I et al (2014) One-way transparency of four-coloured spin-wave excitations in multiferroic materials. Nat Commun 5(1):3203. https://www.nature.com/articles/nphys2387
Viirok J et al (2019) Directional dichroism in the paramagnetic state of multiferroics: a case study of infrared light absorption in Sr\(_2\)CoSi\(_2\)O\(_7\) at high temperatures. Phys Rev B 99(1):014410. https://doi.org/10.1103/PhysRevB.99.014410
Kida N et al (2005) Optical magnetoelectric effect in a submicron patterned magnet. Phys Rev Lett 94(7):077205. https://doi.org/10.1103/PhysRevLett.94.077205
Kida N et al (2006) Enhanced optical magnetoelectric effect in a patterned polar ferrimagnet. Phys Rev Lett 96(16):167202. https://doi.org/10.1103/PhysRevLett.96.167202
Kida N et al (2007) Optical magnetoelectric effect of patterned oxide superlattices with ferromagnetic interfaces. Phys Rev Lett 99(19):197404. https://doi.org/10.1103/PhysRevLett.99.197404
Levy M, Jalali AA, Huang X (2009) Magnetophotonic crystals: nonreciprocity, birefringence and confinement. J Mater Sci Mater Electron 20(S1):43–47
Udalov OG et al (2012) Nonreciprocal light diffraction by a lattice of magnetic vortices. Phys Rev B 86(9):094416. https://doi.org/10.1103/PhysRevB.86.094416
Figotin A, Vitebsky I (2001) Nonreciprocal magnetic photonic crystals. Phys Rev E 63(6):066609. https://doi.org/10.1103/PhysRevE.63.066609
Figotin A, Vitebskiy I (2003) Electromagnetic unidirectionality in magnetic photonic crystals. Phys Rev B 67(16):165210. https://doi.org/10.1103/PhysRevB.67.165210
Figotin A, Vitebskiy I (2006) Electromagnetic unidirectionality and frozen modes in magnetic photonic crystals. J Magn Magn Mater 300(1):117–121. https://doi.org/10.1016/j.jmmm.2005.10.046
Eslami S et al (2014) Chiral nanomagnets. ACS Photon 1(11):1231–1236. https://doi.org/10.1021/ph500305z
Jaafar M et al (2008) Field induced vortex dynamics in magnetic Ni nanotriangles. Nanotechnology 19(28). https://doi.org/10.1088/0957-4484/19/28/285717
Friedel G (1913) Sur les symétries cristallines que peut révéler la diffraction des rayons Röntgen. Comptes Rendus 157:1533–1536
Bijvoet JM, Peerdeman AF, van Bommel AJ (1951) Determination of the absolute configuration of optically active compounds by means of X-rays. Nature 168(4268):271–272. https://doi.org/10.1038/168271a0
http://skuld.bmsc.washington.edu/scatter/AS_Friedel.html. (Online content, Accessed on 13 Mar 2020)
Gorfman S et al (2016) Simultaneous resonant x-ray diffraction measurement of polarization inversion and lattice strain in polycrystalline ferroelectrics. Sci Rep 6(1):20829. https://doi.org/10.1038/srep20829
Shaltout AM, Shalaev VM, Brongersma ML (2019) Spatiotemporal light control with active metasurfaces. Science 364(6441):1. https://doi.org/10.1126/science.aat3100
Linden S et al (2006) Photonic metamaterials: magnetism at optical frequencies. IEEE J Select Top Quant Electron 12(6):1097–1105. https://doi.org/10.1109/JSTQE.2006.880600
Liu N, Giessen H (2010) Coupling effects in optical metamaterials. Angewandte Chem Int Edn 49(51):9838–9852. https://doi.org/10.1002/anie.200906211
Gentile M et al (2011) Investigation of the nonlinear optical properties of metamaterials by second harmonic generation. Appl Phys B 105(1):149–162. https://doi.org/10.1007/s00340-011-4766-y
Cortie MB, Arnold MD, Keast VJ (2020) The quest for zero loss: unconventional materials for plasmonics. Adv Mater 32(18):1904532. https://onlinelibrary.wiley.com/doi/10.1002/adma.201904532
Blaber MG, Arnold MD, Ford MJ (2010) A review of the optical properties of alloys and intermetallics for plasmonics. J Phys Condense Matter 22(14):143201. https://doi.org/10.1088/0953-8984/22/14/143201
Rycenga M et al (2011) Controlling the synthesis and assembly of silver nanostructures for plasmonic applications. Chem Rev 111(6):3669–3712. https://doi.org/10.1021/cr100275d
Auguie B et al (2010) Diffractive arrays of gold nanoparticles near an interface: critical role of the substrate. Phys Rev B 82(15). https://doi.org/10.1103/PhysRevB.82.155447
Sadri-Moshkenani P et al (2020) Effect of magnesium oxide adhesion layer on resonance behavior of plasmonic nanostructures. Appl Phys Lett 116(24):241601. http://aip.scitation.org/doi/10.1063/5.0008665
Hornreich RM (1968) Gyrotropic birefringence-phenomenological theory. J Appl Phys 39(2):432–434. http://aip.scitation.org/doi/10.1063/1.2163466
Hornreich RM, Shtrikman S, Theory of gyrotropic birefringence. Phys Rev 171(3):1065–1074. https://journals.aps.org/pr/abstract/10.1103/PhysRev.171.1065
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Lehmann, J. (2022). Optical Effects in Artificial Magneto-Toroidal Crystals. In: Toroidal Order in Magnetic Metamaterials. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-030-85495-9_7
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