Emerging topological multiferroics from the 2D Rice-Mele model
Source abstract
Abstract
Abstract We introduce a two-dimensional dimerized lattice model that reveals a remarkable feature: the emergence of a complex, non-trivial topological multiferroic phase marked by zero Berry curvature and a significant Berry connection that influences the model’s bulk topology. This model extends the one-dimensional Rice-Mele Hamiltonian model to explore polarization-dependent topological properties in a 2D Su-Schrieffer-Heeger lattice, providing a detailed framework for studying the impact of symmetry-breaking and spatially varying potentials on electronic and spin properties. The findings are particularly relevant for spintronics, offering a foundation for topologically robust and electrically controlled spin-conducting edge states, with implications for developing advanced spin-dependent transport devices.
Source: crossref · Quality: baseline
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 (58)
Show source-provided references
1. Foa Torres, L. E., Roche, S. & Charlier, J.-C. Introduction to Graphene-based Nanomaterials, 2nd edn (Cambridge University Press, 2020).10.1017/9781108664462 ↗
2. Liu, Y. et al. Van der Waals heterostructures and devices. Nat. Rev. Mater. 1, 16042 (2016).10.1038/natrevmats.2016.42 ↗
3. Zhang, Z. Van der Waals Heterostructures (eds Zhang, Z., Kang, Z., Liao, Q. & Zhang, Y.) (Blackwell Verlag, 2023).10.1002/9783527833887 ↗
4. Lipatov, A. et al. Direct observation of ferroelectricity in two-dimensional MoS2. npj 2D Mater. Appl. 6, 18 (2022).10.1038/s41699-022-00298-5 ↗
5. Bennett, D. & Remez, B. On electrically tunable stacking domains and ferroelectricity in moiré superlattices. npj 2D Mater. Appl. 6, 7 (2022).10.1038/s41699-021-00281-6 ↗
6. Fiebig, M. Revival of the magnetoelectric effect. J. Phys. D: Appl. Phys. 38, R123 (2005).10.1088/0022-3727/38/8/R01 ↗
7. Nan, C.-W., Bichurin, M. I., Dong, S., Viehland, D. & Srinivasan, G. Multiferroic magnetoelectric composites: historical perspective, status, and future directions. J. Appl. Phys. 103, 031101 (2008).10.1063/1.2836410 ↗
8. Eerenstein, W., Mathur, N. & Scott, J. Multiferroic and magnetoelectric materials. Nature 442, 759–765 (2006).10.1038/nature05023 ↗
9. Manipatruni, S., Nikonov, D. E. & Young, I. A. Beyond CMOS computing with spin and polarization. Nat. Phys. 14, 338–343 (2018).10.1038/s41567-018-0101-4 ↗
10. Fiebig, M., Lottermoser, T., Meier, D. & Trassin, M. The evolution of multiferroics. Nat. Rev. Mater. 1, 16046 (2016).10.1038/natrevmats.2016.46 ↗
11. Chen, A. et al. Giant nonvolatile manipulation of magnetoresistance in magnetic tunnel junctions by electric fields via magnetoelectric coupling. Nat. Commun. 10, 243 (2019).10.1038/s41467-018-08061-5 ↗
12. Shuai Dong, S.-W. C., Liu, Jun-Ming & Ren, Z. Multiferroic materials and magnetoelectric physics: symmetry, entanglement, excitation, and topology. Adv. Phys. 64, 519 (2015).10.1080/00018732.2015.1114338 ↗
13. Moessner, R. & Moore, J. E. Topological Phases of Matter (Cambridge University Press, 2021).10.1017/9781316226308 ↗
14. Bernevig, B. A., Hughes, T. L. & Zhang, S.-C. Quantum spin Hall effect and topological phase transition in HgTe quantum wells. Sci. 314, 1757 (2006).10.1126/science.1133734 ↗
15. Spaldin, N. A. & Ramesh, R. Advances in magnetoelectric multiferroics. Nat. Mater 18, 203 (2019).10.1038/s41563-018-0275-2 ↗
16. Wang, J. (ed.). Multiferroic Materials (CRC Press, 2016).10.1201/9781315372532 ↗
17. Heron, J. T. et al. Deterministic switching of ferromagnetism at room temperature using an electric field. Nature 516, 370 (2014).10.1038/nature14004 ↗
18. Nan, T. et al. Multiferroic magnon spin-torque based reconfigurable logic-in-memory. Preprint at https://arxiv.org/abs/2309.14614 (2023).10.21203/rs.3.rs-3280079/v1 ↗
19. Huang, B. et al. Layer-dependent ferromagnetism in a van der Waals crystal down to the monolayer limit. Nature 546, 270 (2017).10.1038/nature22391 ↗
20. Gong, C. et al. Discovery of intrinsic ferromagnetism in two-dimensional van der Waals crystals. Nature 546, 265 (2017).10.1038/nature22060 ↗
21. Song, Q. et al. Evidence for a single-layer van der Waals multiferroic. Nature 602, 601 (2022).10.1038/s41586-021-04337-x ↗
22. Fumega, A. O. & Lado, J. L. Microscopic origin of multiferroic order in monolayer NiI2. 2D Mater. 9, 025010 (2022).10.1088/2053-1583/ac4e9d ↗
23. Fumega, A. O. & Lado, J. L. Moiré-driven multiferroic order in twisted CrCl3, CrBr3 and CrI3 bilayers. 2D Mater. 10, 025026 (2023).10.1088/2053-1583/acc671 ↗
24. Cardenas-Chirivi, G. et al. Room temperature multiferroicity in a transition metal dichalcogenide. npj 2D Mater. Appl. 7, 54 (2023).10.1038/s41699-023-00416-x ↗
25. Wang, C., You, L., Cobden, D. & Wang, J. Towards two-dimensional van der Waals ferroelectrics. Nat. Mater 22, 542 (2023).10.1038/s41563-022-01422-y ↗
26. Landau, L. D., Lifshitz, E. M. & Pitaevskii, L. P. Electrodynamics of Continuous Media, 2nd edn (Butterworth-Heinemann, 1984).10.1016/B978-0-08-030275-1.50007-2 ↗
27. Armitage, N. P. & Wu, L. On the matter of topological insulators as magnetoelectrics. SciPost Phys. 6, 046 (2019).10.21468/SciPostPhys.6.4.046 ↗
28. Verbeek, X. H., Urru, A. & Spaldin, N. A. Hidden orders and (anti-)magnetoelectric effects in Cr2O3 and α-Fe2O3. Phys. Rev. Res. 5, L042018 (2023).10.1103/PhysRevResearch.5.L042018 ↗
29. Liu, C.-X., Zhang, S.-C. & Qi, X.-L. The quantum anomalous Hall effect: theory and experiment. Annu. Rev. Condens. Matter Phys. 7, 301 (2016).10.1146/annurev-conmatphys-031115-011417 ↗
30. Li, C.-A. Topological states in two-dimensional Su-Schrieffer-Heeger models. Front. Phys. 10, 861242 (2022).10.3389/fphy.2022.861242 ↗
31. Liang, M.-C. et al. Realization of Qi-Wu-Zhang model in spin-orbit-coupled ultracold fermions. Phys. Rev. Res. 5, L012006 (2023).10.1103/PhysRevResearch.5.L012006 ↗
32. Liu, F. & Wakabayashi, K. Novel topological phase with a zero berry curvature. Phys. Rev. Lett. 118, 076803 (2017).10.1103/PhysRevLett.118.076803 ↗
33. Zheng, L.-Y., Achilleos, V., Richoux, O., Theocharis, G. & Pagneux, V. Observation of edge waves in a two-dimensional Su-Schrieffer-Heeger acoustic network. Phys. Rev. Appl. 12, 034014 (2019).10.1103/PhysRevApplied.12.034014 ↗
34. Li, C.-A., Choi, S.-J., Zhang, S.-B. & Trauzettel, B. Dirac states in an inclined two-dimensional Su-Schrieffer-Heeger model. Phys. Rev. Res. 4, 023193 (2022).10.1103/PhysRevResearch.4.023193 ↗
35. Geng, D. et al. Observation of gapped Dirac cones in a two-dimensional Su-Schrieffer-Heeger lattice. Nat. Commun. 13, 7000 (2022).10.1038/s41467-022-34043-9 ↗
36. Su, W. P., Schrieffer, J. R. & Heeger, A. J. Solitons in polyacetylene. Phys. Rev. Lett. 42, 1698 (1979).10.1103/PhysRevLett.42.1698 ↗
37. Heeger, A. J., Kivelson, S., Schrieffer, J. R. & Su, W. P. Solitons in conducting polymers. Rev. Mod. Phys. 60, 781 (1988).10.1103/RevModPhys.60.781 ↗
38. Li, X. et al. Su-Schrieffer-Heeger model inspired acoustic interface states and edge states. Appl. Phys. Lett. 113, 203501 (2018).10.1063/1.5051523 ↗
39. Asbóth, J. K., Oroszlány, L. & Pályi, A. A Short Course on Topological Insulators (Springer International Publishing, 2016).10.1007/978-3-319-25607-8 ↗
40. Rice, M. J. & Mele, E. J. Elementary excitations of a linearly conjugated diatomic polymer. Phys. Rev. Lett. 49, 1455 (1982).10.1103/PhysRevLett.49.1455 ↗
41. Xiao, D., Chang, M.-C. & Niu, Q. Berry phase effects on electronic properties. Rev. Mod. Phys. 82, 1959 (2010).10.1103/RevModPhys.82.1959 ↗
42. Vanderbilt, D. & King-Smith, R. D. Electric polarization as a bulk quantity and its relation to surface charge. Phys. Rev. B 48, 4442 (1993).10.1103/PhysRevB.48.4442 ↗
43. Rabe, K., Ahn, C. & Triscone, J. Physics of Ferroelectrics: A Modern Perspective, Topics in Applied Physics (Springer Berlin Heidelberg, 2010).
44. Vanderbilt, D. Berry Phases in Electronic Structure Theory (Cambridge University Press, 2018).10.1017/9781316662205 ↗
45. Arceci, L., Kohn, L., Russomanno, A. & Santoro, G. E. Dissipation assisted Thouless pumping in the Rice-Mele model. J. Stat. Mech.: Theory Exp. 2020, 043101 (2020).10.1088/1742-5468/ab7a25 ↗
46. Lin, Y.-T. et al. Interacting rice-mele model: bulk and boundaries. Phys. Rev. B 102, 085122 (2020).10.1103/PhysRevB.102.085122 ↗
47. Pal, S., Sarath, N. V., Priya, K. S. & Murugavel, P. A review on ferroelectric systems for next generation photovoltaic applications. J. Phys. D: Appl. Phys. 55, 283001 (2022).10.1088/1361-6463/ac52f4 ↗
48. Saez, G., Castro, M. A., Allende, S. & Nunez, A. S. Model for nonrelativistic topological multiferroic matter. Phys. Rev. Lett. 131, 226801 (2023).10.1103/PhysRevLett.131.226801 ↗
49. Hughes, T. L., Prodan, E. & Bernevig, B. A. Inversion-symmetric topological insulators. Phys. Rev. B 83, 245132 (2011).10.1103/PhysRevB.83.245132 ↗
50. Sadrzadeh, M., Jafari, R. & Langari, A. Dynamical topological quantum phase transitions at criticality. Phys. Rev. B 103, 144305 (2021).10.1103/PhysRevB.103.144305 ↗
51. Núñez, Á. S. Theory of the piezo-spintronic effect. Solid State Commun. 198, 18 (2014).10.1016/j.ssc.2013.10.018 ↗
52. Ulloa, C., Troncoso, R. E., Bender, S. A., Duine, R. A. & Nunez, A. S. Piezospintronic effect in honeycomb antiferromagnets. Phys. Rev. B 96, 104419 (2017).10.1103/PhysRevB.96.104419 ↗
53. Bernevig, B. & Hughes, T. Topological Insulators and Topological Superconductors (Princeton University Press, 2013).10.1515/9781400846733 ↗
54. Hu, Z. et al. Nonlinear control of photonic higher-order topological bound states in the continuum. Light Sci. Appl. 10, 164 (2021).10.1038/s41377-021-00607-5 ↗
55. Kim, M. & Rho, J. Topological edge and corner states in a two-dimensional photonic Su-Schrieffer-Heeger lattice. Nanophotonics 9, 3227–3234 (2020).10.1515/nanoph-2019-0451 ↗
56. Wu, J. et al. Higher-order topological polariton corner state lasing. Sci. Adv. 9, eadg4322 (2023).10.1126/sciadv.adg4322 ↗
57. Wei, M.-S. et al. Topological laser with higher-order corner states in the 2-dimensional Su-Schrieffer-Heeger model. Optics Express 31, 3427 (2023).10.1364/OE.476047 ↗
58. Obana, D., Liu, F. & Wakabayashi, K. Topological edge states in the Su-Schrieffer-Heeger model. Phys. Rev. B 100, 075437 (2019).10.1103/PhysRevB.100.075437 ↗