The topological quantum phase transitions in Lieb lattice driven by the Rashba SOC and exchange field

Rui Wang (), Qian Qiao, Bin Wang, Xiu-Huan Ding and Yi-Fu Zhang
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Rui Wang: Zhejiang Ocean University
Qian Qiao: Zhejiang Ocean University
Bin Wang: College of Physics Science and Technology, Shenzhen University
Xiu-Huan Ding: College of Mathematics, Physics and Information Science, Zhejiang Ocean University
Yi-Fu Zhang: Department of Physics and Astronomy, Louisiana State University

The European Physical Journal B: Condensed Matter and Complex Systems, 2016, vol. 89, issue 9, 1-6

Abstract: Abstract The quantum spin Hall (QSH) effect and the quantum anomalous Hall (QAH) effect in Lieb lattice are investigated in the presence of both Rashba spin-orbit coupling (SOC) and uniform exchange field. The Lieb lattice has a simple cubic symmetry, which is characterized by the single Dirac-cone per Brillouin zone and the middle flat band in the band structure. The intrinsic SOC is essentially needed to open the full energy gap in the bulk. The QSH effect could survive even in the presence of the exchange field. In terms of the first Chern number and the spin Chern number, we study the topological nature and the topological phase transition from the time-reversal symmetry broken QSH effect to the QAH effect. For Lieb lattice ribbons, the energy spectrum and the wave-function distributions are obtained numerically, where the helical edge states and the chiral edge states reveal the non-trivial topological QSH and QAH properties, respectively.

Keywords: Mesoscopic; and; Nanoscale; Systems (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1140/epjb/e2016-70176-5

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