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Spin-filtered edge states in graphene
Authors:D. Gosálbez-Martínez  D. Soriano  J.J. Palacios  J. Fernández-Rossier
Affiliation:1. Departamento de Física Aplicada, Universidad de Alicante, San Vicente del Raspeig, 03690 Alicante, Spain;2. CIN2 (ICN-CSIC) and Universitat Autònoma de Barcelona, Catalan Institute of Nanotechnology, Campus UAB, 08193 Bellaterra (Barcelona), Spain;3. Departamento de Física de la Materia Condensada, Universidad Autónoma de Madrid, Cantoblanco, 28049 Madrid, Spain;4. Iberian International Nanotechnology Laboratory, Avenida Mestre José Veiga, 4715-330 Braga, Portugal;1. ICMM, CISC, Instituto de Ciencia de Materiales de Madrid, Sor Juana Ines de la Cruz 3, Cantoblanco, Madrid, 28049, Spain;2. Department of Mechanical Engineering, University of Texas, 1 University Station, C2200, Austin, TX 78712-0292, Texas, USA;3. Solid State Physics Laboratory, Eidgenössische Technische Hochschule Zürich, Zürich, CH 8093, Switzerland;4. Department of Physics, Columbia University, 550 W 120th Street, New York, NY 10027, New York, USA;1. Department of Physics, Chemistry and Biology (IFM), Linköping University, P. O. Box SE-581 83, Linköping, Sweden;2. Department of Applied Physics, Eindhoven University of Technology, P. O. Box 513, 5600 MB, Eindhoven, The Netherlands;3. Holst Centre, TNO, High Tech Campus 31, 5656 AE, Eindhoven, The Netherlands;1. Department of Physics and Electronic Information Science, Hengyang Normal University, Hengyang 421002, China;2. Department of Applied Physics, Hunan University and Key Lab for Micro-Nano Physics and Technology of Hunan Province, Changsha 410082, China;1. Department of Physics, University of Malaya, 50603 Kuala Lumpur, Malaysia;2. School of Physics, Universiti Sains Malaysia, 11800 Minden, Penang, Malaysia;3. Department of Engineering Physics, Electronics and Mechanics, Graduate School of Engineering, Nagoya Institute of Technology, Nagoya 466-8555, Japan
Abstract:Spin–orbit coupling changes graphene, in principle, into a two-dimensional topological insulator, also known as quantum spin Hall insulator. One of the expected consequences is the existence of spin-filtered edge states that carry dissipationless spin currents and undergo no backscattering in the presence of non-magnetic disorder, leading to quantization of conductance. Whereas, due to the small size of spin–orbit coupling in graphene, the experimental observation of these remarkable predictions is unlikely, the theoretical understanding of these spin-filtered states is shedding light on the electronic properties of edge states in other two-dimensional quantum spin Hall insulators. Here we review the effect of a variety of perturbations, like curvature, disorder, edge reconstruction, edge crystallographic orientation, and Coulomb interactions on the electronic properties of these spin filtered states.
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