Dresden 2017 – wissenschaftliches Programm

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MA: Fachverband Magnetismus

MA 13: Transport: Topological Phases (jointly with DS, MA, HL, O)

MA 13.3: Vortrag

Montag, 20. März 2017, 15:30–15:45, HSZ 304

Edge states and topology in finite-length single-wall carbon nanotubes — •Wataru Izumida^1,2, Rin Okuyama³, Ai Yamakage^4,5, Mikio Eto³, and Riichiro Saito¹ — ¹Department of Physics, Tohoku University, Sendai 980-8578, Japan — ²Institute for Theoretical Physics, University of Regensburg, 93040 Regensburg, Germany — ³Faculty of Science and Technology, Keio University, Yokohama 223-8522, Japan — ⁴Department of Applied Physics, Nagoya University, Nagoya 464-8603, Japan — ⁵Institute for Advanced Research, Nagoya University, Nagoya 464-8601, Japan

Edge states in finite-length single-wall carbon nanotubes, which appear in the energy gap of the bulk states, are studied from the topological viewpoint [1,2]. An effective one-dimensional (1D) lattice model is introduced to analyze the quantum system with boundary. By analyzing the 1D lattice model, a bulk-edge correspondence, relationship between the number of edge states in the energy gap and the topological winding number defined in the corresponding bulk system, is given [1]. Manipulation of the edge states by magnetic field [3,4] is suggested in terms of the topological phase transition [2].

[1] W. Izumida, R. Okuyama, A. Yamakage, R. Saito, Phys. Rev. B 93, 195442 (2016).

[2] R. Okuyama, W. Izumida, M. Eto, arXiv:1610.05034.

[3] K. Sasaki, S. Murakami, R. Saito, Y. Kawazoe, Phys. Rev. B 71, 195401 (2005).

[4] M. Marganska, M. del Valle, S. H. Jhang, C. Strunk, M. Grifoni, Phys. Rev. B 83, 193407 (2011).