Persistent current in an almost staggered Harper model |
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| Affiliation: | 1. Department of Physics, University of Kalyani, Kalyani 741235, West Bengal, India;1. State Key Laboratory of Low Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing 100084, People''s Republic of China;2. Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, People''s Republic of China;3. Jinan Institute of Quantum Technology, SAICT, Jinan 250101, People''s Republic of China;1. Department of Physics, “Politehnica” University of Bucharest, 313 Splaiul Independenţei, Bucharest RO-060042, Romania;2. Grupo de Materia Condensada-UdeA, Instituto de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Antioquia UdeA, Calle 70 No. 52-21, Medellín, Colombia;1. Display Research Center, School of Electronic Science and Engineering, Southeast University, Nanjing 210096, People''s Republic of China;2. College of Electronic Science and Engineering, Nanjing University of Posts and Telecommunications, Nanjing 210096, People''s Republic of China |
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| Abstract: | In this paper we study the persistent current (PC) of a staggered Harper model, close to the half-filling. The Harper model is different than other one dimensional disordered systems which are always localized, since it is a quasi-periodic system with correlated disorder resulting in the fact that it can be in the metallic regime. Nevertheless, the PC for a wide range of parameters of the Harper model does not show typical metallic behavior, although the system is in the metallic regime. This is a result of the nature of the central band states, which are a hybridization of Gaussian states localized in superlattice points. When the superlattice is not commensurate with the system length, the PC behaves as an insulator. Thus even in the metallic regime a typical finite Harper model may exhibit a PC expected from an insulator. |
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| Keywords: | Quasi-periodic systems Disordered systems Persistent currents |
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