Condensed Matter Physics, 2017, vol. 20, No. 4, 43701
DOI:10.5488/CMP.20.43701
arXiv:1712.05348
Title:
Integer quantum Hall effect and topological phase transitions in silicene
Author(s):
 
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Y.L. Liu
(Faculty of Electric Information Engineering, Huaiyin Institute of Technology, Huaian 223001, China)
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G.X. Luo
(Department of Physics, Yancheng Institute of Technology, Jiangsu 224051, China)
,
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N. Xu
(Department of Physics, Yancheng Institute of Technology, Jiangsu 224051, China)
,
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H.Y. Tian
(School of Physics and Electronic Engineering, Linyi University, Linyi 276005, China)
,
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C.D. Ren
(Department of Physics, Zunyi Normal College, Guizhou 563002, China)
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We numerically investigate the effects of disorder on the quantum Hall effect (QHE) and the quantum phase transitions in silicene based on a lattice model. It is shown that for a clean sample,
silicene exhibits an unconventional QHE near the band center, with plateaus developing at ν=0, ±2, ±6,…, and a conventional QHE near the band edges. In the presence of disorder, the Hall
plateaus can be destroyed through the float-up of extended levels toward the band center, in which higher plateaus disappear first. However, the center ν=0 Hall plateau is more sensitive to
disorder and disappears at a relatively weak disorder strength. Moreover, the combination of an electric field and the intrinsic spin-orbit interaction (SOI) can lead to quantum phase transitions from
a topological insulator to a band insulator at the charge neutrality point (CNP), accompanied by additional quantum Hall conductivity plateaus.
Key words:
quantum Hall effect, silicene, quantum phase transitions
PACS:
73.43.-f, 73.43.Nq, 72.80.Ey
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