Quantum transport in Sierpinski carpets

被引：77

作者：

van Veen, Edo ^{[1
]}

Yuan, Shengjun ^{[1
]}

Katsnelson, Mikhail I. ^{[1
]}

Polini, Marco ^{[2
]}

Tomadin, Andrea ^{[3
,4
]}

机构：

[1] Radboud Univ Nijmegen, Inst Mol & Mat, Heyendaalseweg 135, NL-6525 AJ Nijmegen, Netherlands

[2] Ist Italiano Tecnol, Graphene Labs, Via Morego 30, I-16163 Genoa, Italy

[3] Ist Nanosci CNR, NEST, I-56126 Pisa, Italy

[4] Scuola Normale Super Pisa, Piazza Cavalieri 7, I-56126 Pisa, Italy

来源：

PHYSICAL REVIEW B | 2016年 / 93卷 / 11期

基金：

欧洲研究理事会;

关键词：

FRACTAL CONDUCTANCE FLUCTUATIONS; ELECTRONIC TRANSPORT; SCHRODINGER-EQUATION; DIRAC FERMIONS; LATTICES; GASKET; REALIZATION; DIFFUSION; GRAPHENE; MEDIA;

D O I：

10.1103/PhysRevB.93.115428

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Recent progress in the design and fabrication of artificial two-dimensional (2D) materials paves the way for the experimental realization of electron systems moving on complex geometries, such as plane fractals. In this work, we calculate the quantum conductance of a 2D electron gas roaming on a Sierpinski carpet (SC), i.e., a plane fractal with Hausdorff dimension intermediate between 1 and 2. We find that the fluctuations of the quantum conductance are a function of energy with a fractal graph, whose dimension can be chosen by changing the geometry of the SC. This behavior is independent of the underlying lattice geometry.

引用

页数：5

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