- Open Access
GHz nonreciprocal optical conductivity in hematite
Phys. Rev. B 114, 204423 – Published 22 October, 2026
DOI: https://doi.org/10.1103/dd19-921m
Abstract
We study the nonreciprocal properties of the iron oxide (hematite) in the canted easy-plane antiferromagnetic phase, specifically in the GHz to THz frequency range. First, using the the microscopic spin Hamiltonian, we obtain the correct classical ground state where the canting is induced by the Dzyaloshinskii-Moriya interactions (DMI). The magnon spectrum is simulated using linear spin wave theory. We then compute the polarizability and the subgap optical conductivities using linear response. We find that the conductivity tensor contains frequency peaks at the zero momentum magnon gaps of order which can be tuned by the DMI and on-site anisotropic spin interactions. Furthermore, we show that the canting-induced net magnetic moment represents a measure for the effective time-reversal-symmetry breaking and nonreciprocity of the system: A finite results in a nonzero Hall conductivity. Finally, we discuss the prospective application of hematite in nonreciprocal circulator design, by computing the nonreciprocal circulator transmission amplitude using the conductivities as input.
Physics Subject Headings (PhySH)
Article Text
References (29)
- C.-Z. Chang, C.-X. Liu, and A. H. MacDonald, Colloquium: Quantum anomalous Hall effect, Rev. Mod. Phys. 95, 011002 (2023).
- A. C. Mahoney, J. I. Colless, S. J. Pauka, J. M. Hornibrook, J. D. Watson, G. C. Gardner, M. J. Manfra, A. C. Doherty, and D. J. Reilly, On-chip microwave quantum Hall circulator, Phys. Rev. X 7, 011007 (2017).
- A. C. Mahoney, J. I. Colless, L. Peeters, S. J. Pauka, E. J. Fox, X. Kou, L. Pan, K. L. Wang, D. Goldhaber-Gordon, and D. J. Reilly, Zero-field edge plasmons in a magnetic topological insulator, Nat. Commun. 8, 1836 (2017).
- T.-K. Ng and P. A. Lee, Power-law conductivity inside the Mott gap: Application to , Phys. Rev. Lett. 99, 156402 (2007).
- Y. Tokura, S. Seki, and N. Nagaosa, Multiferroics of spin origin, Rep. Prog. Phys. 77, 076501 (2014).
- A. Bolens, H. Katsura, M. Ogata, and S. Miyashita, Mechanism for subgap optical conductivity in honeycomb Kitaev materials, Phys. Rev. B 97, 161108(R) (2018).
- F. J. Morin, Magnetic susceptibility of and with added titanium, Phys. Rev. 78, 819 (1950).
- T. Dannegger, A. Deák, L. Rózsa, E. Galindez-Ruales, S. Das, E. Baek, M. Kläui, L. Szunyogh, and U. Nowak, Magnetic properties of hematite revealed by an ab initio parameterized spin model, Phys. Rev. B 107, 184426 (2023).
- R. Hoyer, P. P. Stavropoulos, A. Razpopov, R. Valentí, L. Šmejkal, and A. Mook, Altermagnetic splitting of magnons in hematite , Phys. Rev. B 112, 064425 (2025).
- S. K. Banerjee, An attempt to observe the basal plane anisotropy of hematite, Philos. Mag. 8, 2119 (1963).
- P. Flanders and W. Schuele, Anisotropy in the basal plane of hematite single crystals, Philos. Mag. 9, 485 (1964).
- P. Rao and P. P. Stavropoulos, Simulating the hematite magnon spectrum and conductivities using LSWT [Computer software], Zenodo, 2026, https://doi.org/10.5281/zenodo.18493957.
- A. Hill, F. Jiao, P. Bruce, A. Harrison, W. Kockelmann, and C. Ritter, Neutron diffraction study of mesoporous and bulk hematite, , Chem. Mater. 20, 4891 (2008).
- E. Galindez-Ruales, R. Gonzalez-Hernandez, C. Schmitt, S. Das, F. Fuhrmann, A. Ross, E. Golias, A. Akashdeep, L. Lünenbürger, E. Baek, W. Yang, L. Šmejkal, V. Krishna, R. Jaeschke-Ubiergo, J. Sinova, A. Rothschild, C.-Y. You, G. Jakob, and M. Kläui, Revealing the altermagnetism in hematite via XMCD imaging and anomalous Hall electrical transport, Adv. Mater. 37, e05019 (2025).
- P. Rao, A. Mook, and J. Knolle, Tunable band topology and optical conductivity in altermagnets, Phys. Rev. B 110, 024425 (2024).
- L. D. Landau and E. M. Lífshíts, Electrodynamics of Continuous Media (Pergamon Press Oxford, 1984), Vol. 8, p. 384.
- G. Viola and D. P. DiVincenzo, Hall effect gyrators and circulators, Phys. Rev. X 4, 021019 (2014).
- P. J. Besser, A. H. Morrish, and C. W. Searle, Magnetocrystalline anisotropy of pure and doped hematite, Phys. Rev. 153, 632 (1967).
- S. Park, H. Jang, J.-Y. Kim, B.-G. Park, T.-Y. Koo, and J.-H. Park, Strain control of Morin temperature in epitaxial (0001) film, Europhys. Lett. 103, 27007 (2013).
- K. Mibu, K. Mikami, M. Tanaka, R. Masuda, Y. Yoda, and M. Seto, Thickness dependence of Morin transition temperature in iridium-doped hematite layers studied through nuclear resonant scattering, Hyperfine Interact. 238, 92 (2017).
- H. Jani, J. Linghu, S. Hooda, R. V. Chopdekar, C. Li, G. J. Omar, S. Prakash, Y. Du, P. Yang, A. Banas, K. Banas, S. Ghosh, S. Ojha, G. R. Umapathy, D. Kanjilal, A. Ariando, S. J. Pennycook, E. Arenholz, P. G. Radaelli, J. M. D. Coey, et al., Reversible hydrogen control of antiferromagnetic anisotropy in , Nat. Commun. 12, 1668 (2021).
- M. Scheufele, J. Gückelhorn, M. Opel, A. Kamra, H. Huebl, R. Gross, S. Geprägs, and M. Althammer, Impact of growth conditions on magnetic anisotropy and magnon Hanle effect in , APL Mater. 11, 091115 (2023).
- J. Nordlander, M. A. Anderson, C. M. Brooks, M. E. Holtz, and J. A. Mundy, Epitaxy of hexagonal quantum materials, Appl. Phys. Rev. 9, 031309 (2022).
- X. Li, Y. Yun, and X. Xu, Recent progress on multiferroic hexagonal rare-earth ferrites (h-RFeO , R = Y, Dy-Lu), J. Phys. D 58, 073003 (2025).
- M. Lilienblum, T. Lottermoser, S. Manz, S. M. Selbach, A. Cano, and M. Fiebig, Ferroelectricity in the multiferroic hexagonal manganites, Nat. Phys. 11, 1070 (2015).
- P. Schoenherr, L. M. Giraldo, M. Lilienblum, M. Trassin, D. Meier, and M. Fiebig, Magnetoelectric force microscopy on antiferromagnetic domains in , Materials 10, 1051 (2017).
- J.-P. Rivera, A short review of the magnetoelectric effect and related experimental techniques on single phase (multi-) ferroics, Eur. Phys. J. B 71, 299 (2009).
- W. Eerenstein, M. Wiora, J. Prieto, J. Scott, and N. Mathur, Giant sharp and persistent converse magnetoelectric effects in multiferroic epitaxial heterostructures, Nat. Mater. 6, 348 (2007).
- N. A. Pertsev, H. Kohlstedt, and B. Dkhil, Strong enhancement of the direct magnetoelectric effect in strained ferroelectric-ferromagnetic thin-film heterostructures, Phys. Rev. B 80, 054102 (2009).