Torus in a magnetic field: curvature-induced surface states

被引：12

作者：

Atanasov, Victor ^{[1
]}

Dandoloff, Rossen ^{[2
]}

Saxena, Avadh ^{[3
,4
]}

机构：

[1] Univ Sofia, Dept Condensed Matter Phys, Sofia 1164, Bulgaria

[2] Univ Cergy Pontoise, Lab Phys Theor & Modelisat, CNRS, UMR 8089, F-95302 Cergy Pontoise, France

[3] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA

[4] Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2012年 / 45卷 / 10期

关键词：

QUANTUM-MECHANICS;

D O I：

10.1088/1751-8113/45/10/105307

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the quantum dynamics of a particle bound on a torus in the presence of an external magnetic field. We derive and discuss the effective Schrodinger equation for the surface eigenmodes and the corresponding quantum effective potential which is periodic and exhibits quantum anti-centrifugal force for non-vanishing angular momentum quantum numbers. An energy band structure of pure geometrical origin emerges naturally which can be tested experimentally in semiconducting as well as carbon nanotori.

引用

页数：11

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