Quantum spin Hall effect in a square-lattice model under a uniform magnetic field

doi:10.1088/1674-1056/21/7/077303

Abstract We study a toy square-lattice model under a uniform magnetic field. Using the Landauer--B黷tiker formula, we calculate the transport properties of the system on a two-terminal, a four-terminal, and a six-terminal device. We find that the quantum spin Hall (QSH) effect appears in energy ranges where the spin-up and spin-down subsystems have different filling factors. We also study the robustness of the resulting QSH effect and find that it is robust when the Fermi levels of both spin subsystems are far away from the energy plateaus but is fragile when the Fermi level of any spin subsystem is near the energy plateaus. These results provide an example of QSH effect with the physical origin other than time-reversal (TR) preserving spin-orbit coupling (SOC).

Keywords: quantum spin Hall effect topological insulator

Received: 03 January 2012
Revised: 07 February 2012
Accepted manuscript online:

PACS:	73.43.-f	(Quantum Hall effects)
	72.25.Hg	(Electrical injection of spin polarized carriers)
	73.20.-r	(Electron states at surfaces and interfaces)
	85.75.-d	(Magnetoelectronics; spintronics: devices exploiting spin polarized transport or integrated magnetic fields)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11104189 and 11074023) and the National Basic Research Program of China (Grant Nos. 2011CBA00102, 2011CB921700, and 2012CB821403).

Corresponding Authors: Guo Huai-Ming
E-mail: hmguo@buaa.edu.cn

Cite this article:

Guo Huai-Ming(郭怀明) and Feng Shi-Ping(冯世平) Quantum spin Hall effect in a square-lattice model under a uniform magnetic field 2012 Chin. Phys. B 21 077303

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Quantum spin Hall effect in a square-lattice model under a uniform magnetic field

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