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伪球面上相对论朗道能级的电场和曲率效应

Electric field and curvature effects on relativistic Landau levels on a pseudosphere.

作者信息

Le Dai-Nam, Le Van-Hoang, Roy Pinaki

机构信息

Atomic Molecular and Optical Physics Research Group, Advanced Institute of Materials Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam. Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Vietnam.

出版信息

J Phys Condens Matter. 2019 Jul 31;31(30):305301. doi: 10.1088/1361-648X/ab19c1. Epub 2019 Apr 16.

DOI:10.1088/1361-648X/ab19c1
PMID:30990465
Abstract

In this paper relativistic Landau levels on a carbon pseudosphere, whose curvature is a negative constant K  =  -R , are investigated analytically in the presence of orthogonal electric and magnetic fields. It has been shown that the magnetic field tends to create bound states while the electric field tends to destroy them. Consequently there exists a critical electric field such that beyond this critical field the Landau levels collapse although negative curvature of the pseudosphere acts towards preventing the collapse of Landau levels at the critical value.

摘要

在本文中,我们在存在正交电场和磁场的情况下,对曲率为负常数(K = -R)的碳伪球面上的相对论朗道能级进行了解析研究。结果表明,磁场倾向于产生束缚态,而电场倾向于破坏它们。因此,存在一个临界电场,超过这个临界场,朗道能级就会坍缩,尽管伪球面的负曲率在临界值处倾向于阻止朗道能级的坍缩。

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