Abstract
The electronic properties of the polar interface between insulating oxides is a subject of great interest1,2,3. An exciting development is the observation of robust magnetism4,5,6,7,8 at the interface of two non-magnetic materials, LaAlO3 (LAO) and SrTiO3 (STO). Here we present a microscopic theory for the formation and interaction of local moments that depends on essential features of the LAO/STO interface. We show that correlation-induced moments arise owing to interfacial splitting of orbital degeneracy. We find that conduction electrons with a gate-tunable Rashba spin–orbit coupling mediate ferromagnetic exchange with a twist. We predict that the zero-field ground state is a long-wavelength spiral. Its evolution in an external field accounts semi-quantitatively for torque magnetometry data5 and describes qualitative aspects of the scanning superconducting quantum interference device measurements6. We make several testable predictions for future experiments.
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References
Ohtomo, A. & Hwang, H. Y. A high-mobility electron gas at the LaAlO3/SrTiO3 heterointerface. Nature 427, 423–426 (2004).
Thiel, S., Hammerl, G., Schmehl, A., Schneider, C. W. & Mannhart, J. Tunable quasi two-dimensional electron gases in oxide heterostructures. Science 313, 1942–1945 (2006).
Zubko, P., Gariglio, S., Gabay, M., Ghosez, P. & Triscone, J-M. Interface physics in complex oxide heterostructures. Annu. Rev. Condens. Matter Phys. 2, 141–165 (2011).
Brinkman, A. et al. Magnetic effects at the interface between non-magnetic oxides. Nature Mater. 6, 493–496 (2007).
Li, L., Richter, C., Mannhart, J. & Ashoori, R. C. Coexistence of magnetic order and two-dimensional superconductivity at LaAlO3/SrTiO3 interfaces. Nature Phys. 7, 762–766 (2011).
Bert, J. et al. Direct imaging of the coexistence of ferromagnetism and superconductivity at the LaAlO3/SrTiO3 interface. Nature Phys. 7, 767–771 (2011).
Ariando, et al. Electronic phase separation at the LaAlO3/SrTiO3 interface. Nature Commun. 2, 188–194 (2011).
Dikin, D. A., Mehta, M., Bark, C. W., Folkman, C.M., Eom, C. B. & Chandrasekhar, V. Coexistence of superconductivity and ferromagnetism in two dimensions. Phys. Rev. Lett. 107, 56802–56805 (2011).
Shalom, M. B., Ron, A., Palevski, A. & Dagan, Y. Shubnikov-De Haas oscillations in SrTiO3/LaAlO3 interface. Phys. Rev. Lett. 105, 206401 (2010).
Lerer, S., Shalom, M. B., Deutscher, G. & Dagan, Y. Low-temperature dependence of the thermomagnetic transport properties of the SrTiO3/LaAlO3 interface. Phys. Rev. B 84, 075423 (2011).
Joshua, A., Pecker, S., Ruhman, J., Altman, E. & Ilani, S. A universal critical density underlying the physics of electrons at the LaAlO3/SrTiO3 interface. Nature Commun. 3, 1129 (2012).
Caviglia, A. D., Gabay, M., Gariglio, S., Reyren, N., Cancellieri, C. & Triscone, J-M. Tunable Rashba spin-orbit interaction at oxide interfaces. Phys. Rev. Lett. 104, 126803 (2010).
Pentcheva, R. & Pickett, W. E. Charge localization or itineracy at LaAlO3/SrTiO3 interfaces: Hole polarons, oxygen vacancies, and mobile electrons. Phys. Rev. B 74, 035112 (2006).
Delugas, P. et al. Spontaneous 2-dimensional carrier confinement at the n-type SrTiO3/LaAlO3 interface. Phys. Rev. Lett. 106, 166807 (2011).
Salluzzo, M. et al. Orbital reconstruction and the two-dimensional electron gas at the LaAlO3/SrTiO3 interface. Phys. Rev. Lett. 102, 166804 (2009).
Sing, M. et al. Profiling the interface electron gas of LaAlO3/SrTiO3 heterostructures with hard x-ray photoelectron spectroscopy. Phys. Rev. Lett. 102, 176805 (2009).
Berner, G. et al. LaAlO3/SrTiO3 oxide heterostructures studied by resonant inelastic x-ray scattering. Phys. Rev. B 82, 241405 (2010).
Popovic, Z. S., Satpathy, S. & Martin, R. M. Origin of the two-dimensional electron gas carrier density at the LaAlO3 on SrTiO3 interface. Phys. Rev. Lett. 101, 256801 (2008).
Hirayama, M., Miyake, T. & Imada, M. Ab initio Low-energy model of transition-metal-oxide heterostructure LaAlO3/SrTiO3 . J. Phys. Soc. Jpn 81, 084708 (2012).
Santander-Syro, A. F. et al. Two-dimensional electron gas with universal subbands at the surface of SrTiO3 . Nature 469, 189–194 (2011).
Fête, A., Gariglio, S., Caviglia, A. D., Triscone, J-M. & Gabay, M. Rashba induced magnetoconductance oscillations in the LaAlO3–SrTiO3 heterostructure. Phys. Rev. B 86, 201105 (2012).
Florens, S. & Georges, A. Slave-rotor mean-field theories of strongly correlated systems and the Mott transition in finite dimensions. Phys. Rev. B 70, 035114 (2004).
Pentcheva, R. & Pickett, W. E. Ionic relaxation contribution to the electronic reconstruction at the n-type LaAlO3/SrTiO3 interface. Phys. Rev. B 78, 205106 (2008).
Imada, M., Fujimori, A. & Tokura, Y. Metal-insulator transitions. Rev. Mod. Phys. 70, 1039–1263 (1998).
Nussinov, Z., Biskup, M., Chayes, L. & van den Brink, J. Orbital order in classical models of transition-metal compounds. Eur. Phys. Lett. 67, 990–996 (2004).
Chen, G & Balents, L. Ferromagnetism in itinerant two-dimensional t2g systems. Phys. Rev. Lett. 110, 206401 (2013).
Michaeli, K, Potter, A. C. & Lee, P. A. Superconducting and ferromagnetic phases in SrTiO3/LaAlO3 oxide interface structures: possibility of finite momentum pairing. Phys. Rev. Lett. 108, 117003 (2012).
Camjayi, A., Haule, K., Dobrosavljević, V. & Kotliar, G. Coulomb correlations and the Wigner-Mott transition. Nature Phys. 4, 932–935 (2008).
Nanda, B. R. K. & Satpathy, S. Electronic phases and phase separation in the Hubbard-Holstein model of a polar interface. Phys. Rev. B 83, 195114 (2011).
Khalsa, G., Lee, B. & MacDonald, A. H. Theory of t2g electron-gas Rashba interactions. Preprint at http://arxiv.org/abs/1301.2784 (2013).
Acknowledgements
We acknowledge stimulating conversations with L. Li, L. Balents, W. Cole, J. Mannhart, K. Moler, W. Pickett, S. Satpathy and N. Trivedi, and the support of DOE-BES DE-SC0005035 (S.B.), NSF-DMR-1006532 (O.E.) and NSF MRSEC DMR-0820414 (M.R.).
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S.B., O.E. and M.R. contributed to the theoretical research described in the paper and the writing of the manuscript.
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Banerjee, S., Erten, O. & Randeria, M. Ferromagnetic exchange, spin–orbit coupling and spiral magnetism at the LaAlO3/SrTiO3 interface. Nature Phys 9, 626–630 (2013). https://doi.org/10.1038/nphys2702
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DOI: https://doi.org/10.1038/nphys2702
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