On the Spectra of Carbon Nano-Structures

被引：0
作者：
Peter Kuchment
Olaf Post
机构：
[1] Texas A&M University,Mathematics Department
[2] Humboldt-Universität zu Berlin,Institut für Mathematik
来源：
Communications in Mathematical Physics | 2007年 / 275卷
关键词：
Dispersion Relation; Conical Singularity; Monodromy Matrix; Simple Loop; Quantum Graph;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
An explicit derivation of dispersion relations and spectra for periodic Schrödinger operators on carbon nano-structures (including graphene and all types of single-wall nano-tubes) is provided.
引用
收藏
页码：805 / 826
页数：21
相关论文
共 60 条
[1]  
Alexander S.(1985)Superconductivity of networks. A percolation approach to the effects of disorder Phys. Rev. B 27 1541-1557
[2]  
Amovilli C.(2004)Electronic energy spectrum of two-dimensional solids and a chain of C atoms from a quantum network model J. Math. Chem. 36 93-112
[3]  
Leys F.(2004)Topology, connectivity, and electronic structure of C and B cages and the corresponding nanotubes J. Chem. Inf. Comput. Sci. 44 122-135
[4]  
March N.(1988)Adiabatic quantum transport in multiply connected systems Rev. Mod. Phys. 60 873-915
[5]  
Amovilli C.(1997)The spectrum of the continuous Laplacian on a graph Monatsh. Math. 124 215-235
[6]  
Leys F.(1981)Champ itique d’une boucle supraconductrice ramefiee C. R. Acad. Sc. Paris 292B 279-282
[7]  
March N.(2006)Instability zones of periodic 1-dimensional Schrödinger and Dirac operators Russ. Math. Surv. 61 663-766
[8]  
Avron J.(1995)Curvature-induced bound states in quantum waveguides in two and three dimensions Rev. Math. Phys. 7 73-102
[9]  
Raveh A.(1996)Contact interactions on graph superlattices J. Phys. A29 87-102
[10]  
Zur B.(1996)Band spectra of rectangular graph superlattices Phys. Rev. B53 7275-7286
123456