Observation of the nonlinear Hall effect under time-reversal-symmetric conditions
10.1038/s41586-018-0807-6
Crossref journal-article
Springer Science and Business Media LLC
Nature (297)
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Ma, Q., Xu, S.-Y., Shen, H., MacNeill, D., Fatemi, V., Chang, T.-R., Mier Valdivia, A. M., Wu, S., Du, Z., Hsu, C.-H., Fang, S., Gibson, Q. D., Watanabe, K., Taniguchi, T., Cava, R. J., Kaxiras, E., Lu, H.-Z., Lin, H., Fu, L., … Jarillo-Herrero, P. (2018). Observation of the nonlinear Hall effect under time-reversal-symmetric conditions. Nature, 565(7739), 337–342.

Authors 21
  1. Qiong Ma (first)
  2. Su-Yang Xu (additional)
  3. Huitao Shen (additional)
  4. David MacNeill (additional)
  5. Valla Fatemi (additional)
  6. Tay-Rong Chang (additional)
  7. Andrés M. Mier Valdivia (additional)
  8. Sanfeng Wu (additional)
  9. Zongzheng Du (additional)
  10. Chuang-Han Hsu (additional)
  11. Shiang Fang (additional)
  12. Quinn D. Gibson (additional)
  13. Kenji Watanabe (additional)
  14. Takashi Taniguchi (additional)
  15. Robert J. Cava (additional)
  16. Efthimios Kaxiras (additional)
  17. Hai-Zhou Lu (additional)
  18. Hsin Lin (additional)
  19. Liang Fu (additional)
  20. Nuh Gedik (additional)
  21. Pablo Jarillo-Herrero (additional)
References 50 Referenced 569
  1. Xiao, D., Chang, M.-C. & Niu, Q. Berry phase effects on electronic properties. Rev. Mod. Phys. 82, 1959–2007 (2010). (10.1103/RevModPhys.82.1959) / Rev. Mod. Phys. by D Xiao (2010)
  2. Nagaosa, N., Sinova, J., Onoda, S., MacDonald, A. & Ong, N. P. Anomalous Hall effect. Rev. Mod. Phys. 82, 1539–1592 (2010). (10.1103/RevModPhys.82.1539) / Rev. Mod. Phys. by N Nagaosa (2010)
  3. Chang, C.-Z. et al. Experimental observation of the quantum anomalous Hall effect in a magnetic topological insulator. Science 340, 167–170 (2013). (10.1126/science.1234414) / Science by C-Z Chang (2013)
  4. Binz, B. & Vishwanath, A. Chirality induced anomalous-Hall effect in helical spin crystals. Physica B 403, 1336–1340 (2008). (10.1016/j.physb.2007.10.136) / Physica B by B Binz (2008)
  5. Nakatsuji, S., Kiyohara, N. & Higo, T. Large anomalous Hall effect in a non-collinear antiferromagnet at room temperature. Nature 527, 212–215 (2015). (10.1038/nature15723) / Nature by S Nakatsuji (2015)
  6. Yasuda, K. et al. Geometric Hall effects in topological insulator heterostructures. Nat. Phys. 12, 555–559 (2016). (10.1038/nphys3671) / Nat. Phys. by K Yasuda (2016)
  7. Liu, E. et al. Giant anomalous Hall effect in a ferromagnetic kagome-lattice semimetal. Nat. Phys. 14, 1125–1131 (2018). (10.1038/s41567-018-0234-5) / Nat. Phys. by E Liu (2018)
  8. Deyo, E., Golub, L., Ivchenko, E. & Spivak, B. Semiclassical theory of the photogalvanic effect in non-centrosymmetric systems. Preprint at https://arxiv.org/abs/0904.1917 (2009).
  9. Moore, J. E. & Orenstein, J. Confinement-induced Berry phase and helicity-dependent photocurrents. Phys. Rev. Lett. 105, 026805 (2010). (10.1103/PhysRevLett.105.026805) / Phys. Rev. Lett. by JE Moore (2010)
  10. 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) / Phys. Rev. Lett. by I Sodemann (2015)
  11. Lee, J., Wang, Z., Xie, H., Mak, K. F. & Shan, J. Valley magnetoelectricity in single-layer MoS2. Nat. Mater. 16, 887–891 (2017). (10.1038/nmat4931) / Nat. Mater. by J Lee (2017)
  12. Xu, S.-Y. et al. Electrically switchable Berry curvature dipole in the monolayer topological insulator WTe2. Nat. Phys. 14, 900–906 (2018). (10.1038/s41567-018-0189-6) / Nat. Phys. by S-Y Xu (2018)
  13. Low, T., Jiang, Y. & Guinea, F. Topological currents in black phosphorus with broken inversion symmetry. Phys. Rev. B 92, 235447 (2015). (10.1103/PhysRevB.92.235447) / Phys. Rev. B by T Low (2015)
  14. Morimoto, T. & Nagaosa, N. Chiral anomaly and giant magnetochiral anisotropy in noncentrosymmetric Weyl semimetals. Phys. Rev. Lett. 117, 146603 (2016). (10.1103/PhysRevLett.117.146603) / Phys. Rev. Lett. by T Morimoto (2016)
  15. Zhang, Y., Sun, Y. & Yan, B. The Berry curvature dipole in Weyl semimetal materials: an ab initio study. Phys. Rev. B 97, 041101(R) (2018). (10.1103/PhysRevB.97.041101) / Phys. Rev. B by Y Zhang (2018)
  16. Tsirkin, S. S., Puente, P. A. & Souza, I. Gyrotropic effects in trigonal tellurium studied from first principles. Phys. Rev. B 97, 035158 (2018). (10.1103/PhysRevB.97.035158) / Phys. Rev. B by SS Tsirkin (2018)
  17. Zhang, Y., Brink, J. V. d., Felser, C. & Yan, B. Electrically tuneable nonlinear anomalous Hall effect in two-dimensional transition-metal dichalcogenides WTe2 and MoTe2. 2D Materials 5, 044001 (2018). (10.1088/2053-1583/aad1ae) / 2D Materials by Y Zhang (2018)
  18. You, J.-S., Fang, S., Xu, S.-Y., Kaxiras, E. & Low, T. The Berry curvature dipole current in transition metal dichalcogenides family. Phys. Rev. B 98, 121109(R) (2018). (10.1103/PhysRevB.98.121109) / Phys. Rev. B by J-S You (2018)
  19. Shi, L.-k. & Song, J. C. W. Berry curvature switch and magneto-electric effect in WTe2 monolayer. Preprint at https://arxiv.org/abs/1805.00939 (2018).
  20. Facio, J. I. et al. Giant enhancement of Berry-dipole at topological phase transitions in BiTeI. Preprint at https://arxiv.org/abs/1805.02680 (2018). (10.1103/PhysRevLett.121.246403)
  21. Ali, M. N. et al. Large, non-saturating magnetoresistance in WTe2. Nature 514, 205–208 (2014). (10.1038/nature13763) / Nature by MN Ali (2014)
  22. Soluyanov, A. et al. Type-II Weyl semimetals. Nature 527, 495–498 (2015). (10.1038/nature15768) / Nature by A Soluyanov (2015)
  23. Qian, X., Liu, J., Fu, L. & Li, J. Quantum spin Hall effect in two-dimensional transition metal dichalcogenides. Science 346, 1344–1347 (2014). (10.1126/science.1256815) / Science by X Qian (2014)
  24. MacNeill, D. et al. Control of spin-orbit torques through crystal symmetry in WTe2/ferromagnet bilayers. Nat. Phys. 13, 300–305 (2016). (10.1038/nphys3933) / Nat. Phys. by D MacNeill (2016)
  25. Fei, Z. et al. Edge conduction in monolayer WTe2. Nat. Phys. 13, 677–682 (2017). (10.1038/nphys4091) / Nat. Phys. by Z Fei (2017)
  26. Tang, S. et al. Quantum spin Hall state in monolayer 1T′-WTe2. Nat. Phys. 13, 683–687 (2017). (10.1038/nphys4174) / Nat. Phys. by S Tang (2017)
  27. Wu, S. et al. Observation of the quantum spin Hall effect up to 100 Kelvin in a monolayer crystal. Science 359, 76–79 (2018). (10.1126/science.aan6003) / Science by S Wu (2018)
  28. Fatemi, V. et al. Electrically tunable low density superconductivity in a monolayer topological insulator. Science 362, 926–929 (2018). (10.1126/science.aar4642)
  29. Sajadi, E. et al. Gate-induced superconductivity in a monolayer topological insulator. Science 362 922–925 (2018). (10.1126/science.aar4426)
  30. Fei, Z. et al. Ferroelectric switching of a two-dimensional metal. Nature 560, 336–339 (2018). (10.1038/s41586-018-0336-3) / Nature by Z Fei (2018)
  31. 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) / Science by KF Mak (2014)
  32. Qin, F. et al. Superconductivity in a chiral nanotube. Nat. Commun. 8, 14465 (2017). (10.1038/ncomms14465) / Nat. Commun. by F Qin (2017)
  33. Harter, J., Zhao, Z., Yan, J.-Q., Mandrus, D. & Hsieh, D. A parity-breaking electronic nematic phase transition in the spin-orbit coupled metal Cd2Re2O7. Science 356, 295–299 (2017). (10.1126/science.aad1188) / Science by J Harter (2017)
  34. Mar, A., Jobic, S. & Ibers, J. A. Metal-metal vs tellurium-tellurium bonding in WTe2 and its ternary variants TaIrTe4 and NbIrTe4. J. Am. Chem. Soc. 114, 8963–8971 (1992). (10.1021/ja00049a029) / J. Am. Chem. Soc. by A Mar (1992)
  35. Beams, R. et al. Characterization of few-layer 1T′ MoTe2 by polarization-resolved second harmonic generation and Raman scattering. ACS Nano 10, 9626–9636 (2016). (10.1021/acsnano.6b05127) / ACS Nano by R Beams (2016)
  36. Taychatanapat, T. & Jarillo-Herrero, P. Electronic transport in dual-gated bilayer graphene at large displacement fields. Phys. Rev. Lett. 105, 166601 (2010). (10.1103/PhysRevLett.105.166601) / Phys. Rev. Lett. by T Taychatanapat (2010)
  37. Golub, L. E. & Ivchenko, E. L. Circular and magnetoinduced photocurrents in Weyl semimetals. Phys. Rev. B 98, 075305 (2018). (10.1103/PhysRevB.98.075305) / Phys. Rev. B by LE Golub (2018)
  38. Ideue, T. et al. Bulk rectification effect in a polar semiconductor. Nat. Phys. 13, 578–583 (2017). (10.1038/nphys4056) / Nat. Phys. by T Ideue (2017)
  39. Wakatsuki, R. et al. Nonreciprocal charge transport in noncentrosymmetric superconductors. Sci. Adv. 3, e1602390 (2017). (10.1126/sciadv.1602390) / Sci. Adv. by R Wakatsuki (2017)
  40. Sinova, J., Valenzuela, S. O., Wunderlich, J., Back, C. & Jungwirth, T. Spin Hall effects. Rev. Mod. Phys. 87, 1213–1260 (2015). (10.1103/RevModPhys.87.1213) / Rev. Mod. Phys. by J Sinova (2015)
  41. Kim, J. et al. Layer thickness dependence of the current-induced effective field vector in Ta|CoFeB|MgO. Nat. Mater. 12, 240–245 (2013). (10.1038/nmat3522) / Nat. Mater. by J Kim (2013)
  42. Garello, K. et al. Symmetry and magnitude of spin-orbit torques in ferromagnetic heterostructures. Nat. Nanotechnol. 8, 587–593 (2013). (10.1038/nnano.2013.145) / Nat. Nanotechnol. by K Garello (2013)
  43. MacNeill, D. et al. Thickness dependence of spin-orbit torques generated by WTe2. Phys. Rev. B 96, 054450 (2017). (10.1103/PhysRevB.96.054450) / Phys. Rev. B by D MacNeill (2017)
  44. Yao, W., Xiao, D. & Niu, Q. Valley-dependent optoelectronics from inversion symmetry breaking. Phys. Rev. B 77, 235406 (2008). (10.1103/PhysRevB.77.235406) / Phys. Rev. B by W Yao (2008)
  45. Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett. 77, 3865–3868 (1996). (10.1103/PhysRevLett.77.3865) / Phys. Rev. Lett. by JP Perdew (1996)
  46. 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). (10.1103/PhysRevB.54.11169) / Phys. Rev. B by G Kresse (1996)
  47. Heyd, J., Scuseria, G. E. & Ernzerhof, M. Hybrid functionals based on a screened Coulomb potential. J. Chem. Phys. 118, 8207–8215 (2003). (10.1063/1.1564060) / J. Chem. Phys. by J Heyd (2003)
  48. Zheng, F. et al. On the quantum spin Hall gap of monolayer 1T′-WTe2. Adv. Mater. 28, 4845–4851 (2016). (10.1002/adma.201600100) / Adv. Mater. by F Zheng (2016)
  49. Souza, I., Marzari, N. & Vanderbilt, D. Maximally localized Wannier functions for entangled energy bands. Phys. Rev. B 65, 035109 (2001). (10.1103/PhysRevB.65.035109) / Phys. Rev. B by I Souza (2001)
  50. Muechler, L., Alexandradinata, A., Neupert, T. & Car, R. Topological nonsymmorphic metals from band inversion. Phys. Rev. X 6, 041069 (2016). / Phys. Rev. X by L Muechler (2016)
Dates
Type When
Created 6 years, 8 months ago (Dec. 13, 2018, 12:07 p.m.)
Deposited 2 years, 3 months ago (May 20, 2023, 5:51 p.m.)
Indexed 3 days, 18 hours ago (Aug. 21, 2025, 2:21 p.m.)
Issued 6 years, 8 months ago (Dec. 17, 2018)
Published 6 years, 8 months ago (Dec. 17, 2018)
Published Online 6 years, 8 months ago (Dec. 17, 2018)
Published Print 6 years, 7 months ago (Jan. 1, 2019)
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@article{Ma_2018, title={Observation of the nonlinear Hall effect under time-reversal-symmetric conditions}, volume={565}, ISSN={1476-4687}, url={http://dx.doi.org/10.1038/s41586-018-0807-6}, DOI={10.1038/s41586-018-0807-6}, number={7739}, journal={Nature}, publisher={Springer Science and Business Media LLC}, author={Ma, Qiong and Xu, Su-Yang and Shen, Huitao and MacNeill, David and Fatemi, Valla and Chang, Tay-Rong and Mier Valdivia, Andrés M. and Wu, Sanfeng and Du, Zongzheng and Hsu, Chuang-Han and Fang, Shiang and Gibson, Quinn D. and Watanabe, Kenji and Taniguchi, Takashi and Cava, Robert J. and Kaxiras, Efthimios and Lu, Hai-Zhou and Lin, Hsin and Fu, Liang and Gedik, Nuh and Jarillo-Herrero, Pablo}, year={2018}, month=dec, pages={337–342} }