Exotic States Emerged By Spin-Orbit Coupling, Lattice Modulation and Magnetic Field in Lieb Nano-ribbons

Nguyen Duong Bo, Nguyen Hong Son, Tran Minh Tien

Abstract


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.

Keywords


Lieb lattice, flat band, spin-orbit coupling, half metal, topology

Full Text:

PDF

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.




DOI: https://doi.org/10.15625/0868-3166/29/3SI/14285 Display counter: Abstract : 33 views. PDF : 18 views.

Refbacks

  • There are currently no refbacks.




Editorial Office:

Communications in Physics

1st Floor, A16 Building, 18B Hoang Quoc Viet Street, Cau Giay District, Hanoi, Vietnam

Tel: (+84) 024 3791 7102 

Email: cip@vjs.ac.vn

Copyright by