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Functional electronic inversion layers at ferroelectric domain walls

Abstract

Ferroelectric domain walls hold great promise as functional two-dimensional materials because of their unusual electronic properties. Particularly intriguing are the so-called charged walls where a polarity mismatch causes local, diverging electrostatic potentials requiring charge compensation and hence a change in the electronic structure. These walls can exhibit significantly enhanced conductivity and serve as a circuit path. The development of all-domain-wall devices, however, also requires walls with controllable output to emulate electronic nano-components such as diodes and transistors. Here we demonstrate electric-field control of the electronic transport at ferroelectric domain walls. We reversibly switch from resistive to conductive behaviour at charged walls in semiconducting ErMnO3. We relate the transition to the formation—and eventual activation—of an inversion layer that acts as the channel for the charge transport. The findings provide new insight into the domain-wall physics in ferroelectrics and foreshadow the possibility to design elementary digital devices for all-domain-wall circuitry.

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Figure 1: Electronic transport and band structure at tail-to-tail and head-to-head walls.
Figure 2: Manganese valence change at head-to-head domain walls.
Figure 3: Orbital nature of electrons at head-to-head domain walls.
Figure 4: Electric-field control of electronic transport at head-to-head domain walls.

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References

  1. Salje, E. K. H. Multiferroic domain boundaries as active memory devices: trajectories towards domain boundary engineering. Chem. Phys. Chem. 11, 940–950 (2010).

    Article  CAS  Google Scholar 

  2. Catalan, G., Seidel, S., Ramesh, R. & Scott, J. F. Domain wall nanoelectronics. Rev. Mod. Phys. 84, 119–156 (2012).

    Article  CAS  Google Scholar 

  3. Meier, D. Functional multiferroic domain walls in multiferroics. J. Phys. Condens. Matter 27, 463003 (2015).

    Article  Google Scholar 

  4. Seidel, J. et al. Conduction at domain walls in oxide multiferroics. Nat. Mater. 8, 229–234 (2009).

    Article  CAS  Google Scholar 

  5. Maksymovych, P. et al. Tunable metallic conductance in ferroelectric nanodomains. Nano Lett. 12, 209–213 (2012).

    Article  CAS  Google Scholar 

  6. Schröder, M. et al. Conducting domain walls in lithium niobate single crystals. Adv. Funct. Mater. 22, 3936–3944 (2012).

    Article  Google Scholar 

  7. Sluka, T. et al. Free-electron gas at charged domain walls in insulating BaTiO3 . Nat. Commun. 4, 1808 (2013).

    Article  Google Scholar 

  8. Meier, D. et al. Anisotropic conductance at improper ferroelectric domain walls. Nat. Mater. 11, 284–288 (2012).

    Article  CAS  Google Scholar 

  9. Wu, W., Horibe, Y., Lee, N., Cheong, S.-W. & Guest, J. R. Conduction of topologically protected charged ferroelectric domain walls. Phys. Rev. Lett. 108, 077203 (2012).

    Article  Google Scholar 

  10. Oh, Y. S., Luo, X., Huang, F.-T., Wang, Y. & Cheong, S.-W. Experimental demonstration of hybrid improper ferroelectricity and the presence of abundant charged walls in (Ca, Sr)3Ti2O7 crystals. Nat. Mater. 14, 407–413 (2015).

    Article  CAS  Google Scholar 

  11. Eliseev, E. A., Morozovska, A. N., Svechnikov, G. S., Gopalan, V. & Shur, V. Y. Static conductivity of charged domain walls in uniaxial ferroelectric semiconductors. Phys. Rev. B 83, 235313 (2011).

    Article  Google Scholar 

  12. Gureev, M. Y., Tagantsev, A. K. & Setter, N. Head-to-head and tail-to-tail 180° domain walls in an isolated ferroelectric. Phys. Rev. B 83, 184104 (2011).

    Article  Google Scholar 

  13. Ma, E. Y. et al. Mobile metallic domain walls in an all-in-all-out magnetic insulator. Science 350, 538–541 (2015).

    Article  CAS  Google Scholar 

  14. Campbell, M. P. et al. Hall effect in charged conducting domain walls. Nat. Commun. 7, 13764 (2016).

    Article  CAS  Google Scholar 

  15. Tselev, A. et al. Microwave a.c. conductivity of domain walls in ferroelectric thin films. Nat. Commun. 7, 11630 (2016).

    Article  CAS  Google Scholar 

  16. Ruff, E. et al. Conductivity contrast and tunneling charge transport in the vortex-like ferroelectric domain pattern of multiferroic hexagonal YMnO3 . Phys. Rev. Lett. 118, 036803 (2017).

    Article  CAS  Google Scholar 

  17. Schaab, J. et al. Imaging and characterization of conducting ferroelectric domain walls by photoemission electron microscopy. Appl. Phys. Lett. 104, 232904 (2014).

    Article  Google Scholar 

  18. Schaab, J. et al. Contact-free mapping of electronic transport phenomena of polar domains in SrMnO3 thin films. Phys. Rev. Appl. 5, 054009 (2016).

    Article  Google Scholar 

  19. Kalashnikova, A. M. & Pisarev, R. V. Electronic structure of hexagonal rare-earth manganites RMnO3 . JETP 78, 143–147 (2003).

    Article  CAS  Google Scholar 

  20. Chae, S. C. et al. Direct observation of the proliferation of ferroelectric loop domains and vortex-antivortex pairs. Phys. Rev. Lett. 108, 167603 (2012).

    Article  CAS  Google Scholar 

  21. Zhang, Q. H. et al. Direct observation of interlocked domain walls in hexagonal RMnO3 (R = Tm, Lu). Phys. Rev. B 85, 020102(R) (2012).

    Article  Google Scholar 

  22. Kumagai, Y. & Spaldin, N. A. Structural domain walls in polar hexagonal manganites. Nat. Commun. 4, 1540 (2012).

    Article  Google Scholar 

  23. Choi, T. et al. Insulating interlocked ferroelectric and structural antiphase domain walls in multiferroic YMnO3 . Nat. Mater. 9, 253–258 (2010).

    Article  CAS  Google Scholar 

  24. Skjærvø, S. H. et al. Interstitial oxygen as a source of p-type conductivity in hexagonal manganites. Nat. Commun. 7, 13745 (2016).

    Article  Google Scholar 

  25. Yan, Z. et al. Growth of high-quality hexagonal ErMnO3 single-crystals by the pressurized floating-zone method. J. Cryst. Growth 409, 75–79 (2015).

    Article  CAS  Google Scholar 

  26. Crassous, A., Sluka, T., Tagantsev, A. K. & Setter, N. Polarization charge as a reconfigurable quasi-dopant in ferroelectric thin films. Nat. Nanotech. 10, 614–618 (2015).

    Article  CAS  Google Scholar 

  27. Mundy, J. A. et al. Visualizing the interfacial evolution from charge compensation to metallic screening across the manganite metal–insulator transition. Nat. Commun. 5, 3464 (2014).

    Article  Google Scholar 

  28. Coeuré, Ph., Guinet, F., Peuzin, J. C., Buisson, G. & Bertaut, E. F. Ferroelectric properties of hexagonal orthomanganites of yttrium and rare earths. Proc. Int. Meet. Ferroelectr. 1, 332–340 (1966).

    Google Scholar 

  29. Medvedeva, J. E., Anisimov, V. I., Korotin, M. A., Mryasov, O. N. & Freeman, A. J. The effect of Coulomb correlation and magnetic ordering on the electronic structure of hexagonal phases of ferroelectromagnetic YMnO3 . J. Phys. Condens. Matter 12, 4947–4958 (2000).

    Article  CAS  Google Scholar 

  30. Van Aken, B. B., Palstra, T. T. M., Filippetti, A. & Spaldin, N. A. The origin of ferroelectricity in magnetoelectric YMnO3 . Nat. Mater. 3, 164–170 (2004).

    Article  CAS  Google Scholar 

  31. Rahmanizadeh, K., Wortmann, D., Bihlmayer, G. & Blügel, S. Charge and orbital order at head-to-head domain walls in PbTiO3 . Phys. Rev. B 90, 115104 (2014).

    Article  Google Scholar 

  32. Fundamentals of Power Electronics (eds Erickson, R. W. & Maksimovic, D.) 2nd edn (Springer Science + Business Media, LLC, 2001).

  33. Stengel, M., Fennie, C. J. & Ghosez, P. Electrical properties of improper ferroelectrics from first principles. Phys. Rev. B 86, 094112 (2012).

    Article  Google Scholar 

  34. Blöchl, P. E. Projector augmented-wave method. Phys. Rev. B 50, 17953–17979 (1994).

    Article  Google Scholar 

  35. Kresse, G. & Furthmüller, J. Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B 54, 11169–11186 (1996).

    Article  CAS  Google Scholar 

  36. Perdew, J. P. & Zunger, A. Self-interaction correction to density-functional approximations for many-electron systems. Phys. Rev. B 23, 5048–5079 (1981).

    Article  CAS  Google Scholar 

  37. Liechtenstein, A. I., Anisimov, V. I. & Zaanen, J. Density-functional theory and strong interactions: orbital ordering in Mott–Hubbard insulators. Phys. Rev. B 52, R5467–R5470 (1995).

    Article  CAS  Google Scholar 

  38. Kumagai, Y. & Oba, F. Electrostatics-based finite-size corrections for first-principles point defect calculations. Phys. Rev. B 89, 195205 (2014).

    Article  Google Scholar 

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Acknowledgements

We thank M. Fiebig for direct financial support and scientific input, and M. Trassin and A. Kaiser for fruitful discussions. We thank HZB for the allocation of synchrotron beam time and we gratefully acknowledge financial support by HZB. D.M., J.S. and N.A.S. acknowledge funding from the ETH Zurich and the SNF (proposal no. 200021_149192, D.M. and J.S.), the Alexander von Humboldt Foundation (D.M.) and the ERC Advanced Grant programme (grant number 291151, N.A.S.). Electron microscopy research at Cornell (J.A.M., M.E.H., D.A.M. and D.G.S.) was supported by the U.S. Department of Energy, Office of Basic Energy Sciences, Division of Materials Sciences and Engineering under Award no. DE-SC0002334. This work made use of the electron microscopy facility of the Cornell Center for Materials Research (CCMR) with support from the National Science Foundation Materials Research Science and Engineering Centers (MRSEC) programme (DMR-1120296) and NSF IMR-0417392. We gratefully acknowledge the use of facilities with the LeRoy Eyring Center for Solid State Science at Arizona State University and assistance from J. Mardinly and T. Aoki. J.A.M. acknowledges financial support from the Army Research Office in the form of a National Defense Science & Engineering Graduate Fellowship and from the National Science Foundation in the form of a National Science Foundation Graduate Research Fellowship. M.S. was supported by MINECO-Spain through Grants No. FIS2013-48668-C2-2-P and No. SEV-2015-0496, and Generalitat de Catalunya (2014 SGR301). E.B. and Z.Y. were supported in part by the US Department of Energy and carried out at the Lawrence Berkeley National Laboratory under Contract No. DE-AC02-05CH11231.

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Contributions

J.A.M. and M.E.H. conducted and analysed the EELS measurements, assisted by R.H., under supervision of D.A.M. and D.G.S. Y.K., M.S. and N.A.S. performed the semiclassical and DFT calculations. J.S. performed the cAFM measurements under supervision of D.M. The analysis in terms of X-PEEM was provided by I.P.K., J.S., D.M.G., H.D., C.M.S. and D.M.; Z.Y., E.B. and R.R. allocated the samples. A.C. and D.M. developed the concept of electric-field gating. D.M. initiated and coordinated this project, and wrote the manuscript supported by J.A.M., J.S., Y.K., M.S., A.C. and N.A.S.

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Correspondence to D. Meier.

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Mundy, J., Schaab, J., Kumagai, Y. et al. Functional electronic inversion layers at ferroelectric domain walls. Nature Mater 16, 622–627 (2017). https://doi.org/10.1038/nmat4878

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