journal article·2017-09-01Open access

Valley magnetoelectricity in single-layer MoS2

Jieun Lee, Zefang Wang, Hongchao Xie, Kin Fai Mak, Jie Shan

Nature Materials· Volume 16· Issue 9

Abstract

The magnetoelectric (ME) effect, the phenomenon of inducing magnetization by application of an electric field or vice versa, holds great promise for magnetic sensing and switching applications. Studies of the ME effect have so far focused on the control of the electron spin degree of freedom (DOF) in materials such as multiferroics and conventional semiconductors. Here, we report a new form of the ME effect based on the valley DOF in two-dimensional Dirac materials. By breaking the three-fold rotational symmetry in single-layer MoS 2 via a uniaxial stress, we have demonstrated the pure electrical generation of valley magnetization in this material, and its direct imaging by Kerr rotation microscopy. The observed out-of-plane magnetization is independent of in-plane magnetic field, linearly proportional to the in-plane current density, and optimized when the current is orthogonal to the strain-induced piezoelectric field. These results are fully consistent with a theoretical model of valley magnetoelectricity driven by Berry curvature effects. Furthermore, the effect persists at room temperature, opening possibilities for practical valleytronic devices.
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Research context

OpenAlex topics: Multiferroics and related materials · 2D Materials and Applications · Topological Materials and Phenomena

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (33)

Show source-provided references
1. Manfred, F. Revival of the magnetoelectric effect. J. Phys. D 38, R123 (2005).10.1088/0022-3727/38/8/R01 ↗
2. Eerenstein, W., Mathur, N. D. & Scott, J. F. Multiferroic and magnetoelectric materials. Nature 442, 759–765 (2006).10.1038/nature05023 ↗
3. Awschalom, D. D. & Flatte, M. E. Challenges for semiconductor spintronics. Nat. Phys. 3, 153–159 (2007).10.1038/nphys551 ↗
4. Xiao, D., Liu, G. B., Feng, W. X., Xu, X. D. & Yao, W. Coupled spin and valley physics in monolayers of MoS2 and other group-VI dichalcogenides. Phys. Rev. Lett. 108, 196802 (2012).10.1103/PhysRevLett.108.196802 ↗
5. Xiao, D., Yao, W. & Niu, Q. Valley-contrasting physics in graphene: magnetic moment and topological transport. Phys. Rev. Lett. 99, 236809 (2007).10.1103/PhysRevLett.99.236809 ↗
6. Xu, X., Yao, W., Xiao, D. & Heinz, T. F. Spin and pseudospins in layered transition metal dichalcogenides. Nat. Phys. 10, 343–350 (2014).10.1038/nphys2942 ↗
7. Zhang, Y. J., Oka, T., Suzuki, R., Ye, J. T. & Iwasa, Y. Electrically switchable chiral light-emitting transistor. Science 344, 725–728 (2014).10.1126/science.1251329 ↗
8. Mak, K. F., McGill, K. L., Park, J. & McEuen, P. L. The valley Hall effect in MoS2 transistors. Science 344, 1489–1492 (2014).10.1126/science.1250140 ↗
9. Gorbachev, R. V. et al. Detecting topological currents in graphene superlattices. Science 346, 448–451 (2014).10.1126/science.1254966 ↗
10. Kim, J. et al. Ultrafast generation of pseudo-magnetic field for valley excitons in WSe2 monolayers. Science 346, 1205–1208 (2014).10.1126/science.1258122 ↗
11. Sie, E. J. et al. Valley-selective optical Stark effect in monolayer WS2 . Nat. Mater. 14, 290–294 (2015).10.1038/nmat4156 ↗
12. Li, Y. L. et al. Valley splitting and polarization by the Zeeman effect in monolayer MoSe2 . Phys. Rev. Lett. 113, 266804 (2014).10.1103/PhysRevLett.113.266804 ↗
13. MacNeill, D. et al. Breaking of valley degeneracy by magnetic field in monolayer MoSe2 . Phys. Rev. Lett. 114, 037401 (2015).10.1103/PhysRevLett.114.037401 ↗
14. Aivazian, G. et al. Magnetic control of valley pseudospin in monolayer WSe2 . Nat. Phys. 11, 148–152 (2015).10.1038/nphys3201 ↗
15. Srivastava, A. et al. Valley Zeeman effect in elementary optical excitations of monolayer WSe2 . Nat. Phys. 11, 141–147 (2015).10.1038/nphys3203 ↗
16. Ye, Y. et al. Electrical generation and control of the valley carriers in a monolayer transition metal dichalcogenide. Nat. Nanotech. 11, 598–602 (2016).10.1038/nnano.2016.49 ↗
17. Lee, J., Mak, K. F. & Shan, J. Electrical control of the valley Hall effect in bilayer MoS2 transistors. Nat. Nanotech. 11, 421–425 (2016).10.1038/nnano.2015.337 ↗
18. Cracknell, A. P. Magnetism in Crystalline Materials: Applications of the Theory of Groups of Cambiant Symmetry (Pergamon Press, 1975).
19. Levitov, L. S., Nazarov, Y. V. & Eliashberg, G. M. Magnetoelectric effects in conductors with mirror isomer symmetry. Zh. Eksp. I Teor. Fiz. 88, 229–236 (1985).
20. Edelstein, V. M. Spin polarization of conduction electrons induced by electric current in two-dimensional asymmetric electron systems. Solid State Commun. 73, 233–235 (1990).10.1016/0038-1098(90)90963-C ↗
21. Sodemann, I. & Fu, L. Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials. Phys. Rev. Lett. 115, 216806 (2015).10.1103/PhysRevLett.115.216806 ↗
22. Chernyshov, A. et al. Evidence for reversible control of magnetization in a ferromagnetic material by means of spin–orbit magnetic field. Nat. Phys. 5, 656–659 (2009).10.1038/nphys1362 ↗
23. Mihai Miron, I. et al. Current-driven spin torque induced by the Rashba effect in a ferromagnetic metal layer. Nat. Mater. 9, 230–234 (2010).10.1038/nmat2613 ↗
24. Wu, W. et al. Piezoelectricity of single-atomic-layer MoS2 for energy conversion and piezotronics. Nature 514, 470–474 (2014).10.1038/nature13792 ↗
25. Zhu, H. et al. Observation of piezoelectricity in free-standing monolayer MoS2 . Nat. Nanotech. 10, 151–155 (2015).10.1038/nnano.2014.309 ↗
26. He, K., Poole, C., Mak, K. F. & Shan, J. Experimental demonstration of continuous electronic structure tuning via strain in atomically thin MoS2 . Nano Lett. 13, 2931–2936 (2013).10.1021/nl4013166 ↗
27. Conley, H. J. et al. Bandgap engineering of strained monolayer and bilayer MoS2 . Nano Lett. 13, 3626–3630 (2013).10.1021/nl4014748 ↗
28. Yang, L. et al. Long-lived nanosecond spin relaxation and spin coherence of electrons in monolayer MoS2 and WS2 . Nat. Phys. 11, 830–834 (2015).10.1038/nphys3419 ↗
29. Sallen, G. et al. Robust optical emission polarization in MoS2 monolayers through selective valley excitation. Phys. Rev. B 86, 081301 (2012).10.1103/PhysRevB.86.081301 ↗
30. Linnik, T. L. Effective Hamiltonian of strained graphene. J. Phys. Condens. Matter 24, 205302 (2012).10.1088/0953-8984/24/20/205302 ↗
31. Rostami, H., Roldán, R., Cappelluti, E., Asgari, R. & Guinea, F. Theory of strain in single-layer transition metal dichalcogenides. Phys. Rev. B 92, 195402 (2015).10.1103/PhysRevB.92.195402 ↗
32. Liu, G. B., Shan, W. Y., Yao, Y. G., Yao, W. & Xiao, D. Three-band tight-binding model for monolayers of group-VIB transition metal dichalcogenides. Phys. Rev. B 88, 085433 (2013).10.1103/PhysRevB.88.085433 ↗
33. Gurvitch, M. Ioffe–Regel criterion and resistivity of metals. Phys. Rev. B 24, 7404–7407 (1981).10.1103/PhysRevB.24.7404 ↗