Phase diagram of a family of one-dimensional nearest-neighbor tight-binding models with an exact mobility edge

doi:10.1088/1674-1056/26/7/077202

Abstract

Recently, an interesting family of quasiperiodic models with exact mobility edges (MEs) has been proposed (Phys. Rev. Lett. 114 146601 (2015)). It is self-dual under a generalized duality transformation. However, such transformation is not obvious to map extended (localized) states in the real space to localized (extended) ones in the Fourier space. Therefore, it needs more convictive evidences to confirm the existence of MEs. We use the second moment of wave functions, Shannon information entropies, and Lypanunov exponents to characterize the localization properties of the eigenstates, respectively. Furthermore, we obtain the phase diagram of the model. Our numerical results support the existing analytical findings.

Keywords: Anderson localization quasiperiodic model mobility edge

Received: 17 February 2017
Revised: 14 April 2017
Accepted manuscript online:

PACS:	72.20.Ee	(Mobility edges; hopping transport)
	72.15.Rn	(Localization effects (Anderson or weak localization))
	71.23.An	(Theories and models; localized states)

Fund:

Project supported by the National Natural Science Foundation of China (Grant Nos.61475075 and 61170321).

Corresponding Authors: Long-Yan Gong
E-mail: lygong@njupt.edu.cn

Cite this article:

Long-Yan Gong(巩龙延), Xiao-Xin Zhao(赵小新) Phase diagram of a family of one-dimensional nearest-neighbor tight-binding models with an exact mobility edge 2017 Chin. Phys. B 26 077202

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Phase diagram of a family of one-dimensional nearest-neighbor tight-binding models with an exact mobility edge

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