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
Author affiliations

Authors

  • Nguyen Duong Bo Graduate University of Science and Technology, Vietnam Academy of Science and Technology,Hanoi, Vietnam
  • Nguyen Hong Son Department of Occupational Safety and Health, Trade Union University, Hanoi, Vietnam
  • Tran Minh Tien Institute of Physics, Vietnam Academy of Science and Technology,Hanoi, Vietnam

DOI:

https://doi.org/10.15625/0868-3166/29/3SI/14285

Keywords:

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

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.

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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.

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Published

22-10-2019

How to Cite

[1]
N. D. Bo, N. H. Son and T. M. Tien, Exotic States Emerged By Spin-Orbit Coupling, Lattice Modulation and Magnetic Field in Lieb Nano-ribbons, Comm. Phys. 29 (2019) 293. DOI: https://doi.org/10.15625/0868-3166/29/3SI/14285.

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Papers
Received 20-08-2019
Accepted 08-10-2019
Published 22-10-2019