Exotic States Emerged By Spin-Orbit Coupling, Lattice Modulation and Magnetic Field in Lieb Nano-ribbons
Author affiliations
DOI:
https://doi.org/10.15625/0868-3166/29/3SI/14285Keywords:
Lieb lattice, flat band, spin-orbit coupling, half metal, topologyAbstract
The Lieb nano-ribons with the spin-orbit coupling, the lattice modulation and the magnetic field are exactly studied. They are constructed from the Lieb lattice with two open boundaries in a direction. The interplay between the spin-orbit coupling, the lattice modulation and the magnetic field emerges various exotic ground states. With certain conditions of the spin-orbit coupling, the lattice modulation, the magnetic field and filling the ground state becomes half metallic or half topological. In the half metallic ground state, one spin component is metallic, while the other spin component is insulating. In the half topological ground state, one spin component is topological, while the other spin component is topological trivial. The model exhibits very rich phase diagram.Downloads
References
M. Z. Hassan and C. L. Kane C L, Rev. Mod. Phys. 82 (2010) 3045. [2] X.-L. Qi and S.-C. Zhang, Rev. Mod. Phys. 83 (2011) 1057.
A. Bansil, H. Lin, and T. Das, Rev. Mod. Phys. 88 (2016) 021004. [4] H. Tasaki, Prog. Theor. Phys. 99 (1998) 489.
Liu Zheng, Liu Feng, and Wu Yong-Shi, Chin. Phys. B 23 (2014) 077308.
D.-N. Sheng, Z.-C. Gu, K. Sun, and L. Sheng, Nature Commun. 2 (2011) 389.
E. Tang, J.-W. Mei, and X.-G. Wen, Phys. Rev. Lett. 106 (2011) 236802.
K. Sun, Z. Gu, H. Katsura, and S. Das Sarma, Phys. Rev. Lett. 106 (2011) 236803.
T. Neupert, L. Santos, C. Chamon, and C. Mudry, Phys. Rev. Lett. 106 (2011) 236804.
Z. Gula ́csi, A. Kampf, and D. Vollhardt, Phys. Rev. Lett. 105 (2010) 266403.
M. Maksymenko, A. Honecker, R. Moessner, J. Richter, and O. Derzhko Phys. Rev. Lett. 109 (2012)
Minh-Tien Tran and Thuy T Nguyen, Phys. Rev. B 97 (2018) 155125.
D.-B. Nguyen, T.-M. T. Tran, T. T. Nguyen, and M.-T. Tran, Annals of Physics 400 (2019) 9.
Nguyen Duong Bo, Nguyen Hong Son, and Tran Minh Tien Comm. Phys. 28 (2019) 361.
Ta Van Binh, Nguyen Duong Bo, Nguyen Hong Son, and Tran Minh Tien, J. Phys.: Conf. Ser. (2019)
(to be published).
C. Weeks and M. Franz, Phys. Rev. B 82 (2010) 085310.
C. Weeks and M. Franz, Phys. Rev. B 85 (2012) 041104.
Tran Minh-Tien, Phys. Rev. B 67 (2003) 144404.
Phan Van-Nham and Tran Minh-Tien, Mod. Phys. Lett. B 17 (2003) 39.
Van-Nham Phan and Minh-Tien Tran, Phys. Rev. B 72 (2005) 214418.
Van-Nham Phan and Minh-Tien Tran, Phys. Rev. B 92 (2015) 155201.
Minh-Tien Tran, Hong-Son Nguyen, and Duc-Anh Le, Phys. Rev. B 93 (2016) 155160.
Van-Nham Phan, Quoc-Huy Ninh, and Minh-Tien Tran, Phys. Rev. B 93 (2016) 165115.
A. Julku, S. Peotta, T. I. Vanhala, D. H. Kim, and P. T ̈orma ̈, Phys. Rev. Lett. 117 (2016) 045303.
R. Chen and B. Zhou, Chin. Phys. B 25 (2016) 067204.
Downloads
Published
How to Cite
Issue
Section
License
Communications in Physics is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Copyright on any research article published in Communications in Physics is retained by the respective author(s), without restrictions. Authors grant VAST Journals System (VJS) a license to publish the article and identify itself as the original publisher. Upon author(s) by giving permission to Communications in Physics either via Communications in Physics portal or other channel to publish their research work in Communications in Physics agrees to all the terms and conditions of https://creativecommons.org/licenses/by-sa/4.0/ License and terms & condition set by VJS.


