Fractional conductivity in 2D and 3D crystals

被引：6

作者：

Sidharth, B. G. ^{[1
]}

Das, Abhishek ^{[1
]}

Valluri, S. R. ^{[2
]}

机构：

[1] BM Birla Sci Ctr, Hyderabad 500063, Andhra Pradesh, India

[2] Univ Western Ontario, Dept Phys & Astron, London, ON N6A 3K7, Canada

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2018年 / 133卷 / 04期

基金：

加拿大自然科学与工程研究理事会;

关键词：

LAMBERT W FUNCTION; ZITTERBEWEGUNG; GRAPHENE; LIMIT;

D O I：

10.1140/epjp/i2018-11965-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this work, we show that the phenomenon of fractional quantum Hall effect can be obtained for 2D and 3D crystal structures, using the noncommutative nature of spacetime and the Lambert W function. This fractional conductivity has been shown to be a consequence of the noncommutative geometry underlying the structure of graphene. Also, it has been shown, for graphene, that in the 3D case the conductivity is extremely small and depends on the self- energy that arises due to random fluctuations or zitterbewegung.

引用

页数：6

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