Classical and quantum dynamics in an array of electron billiards

被引:3
作者
Brunner, Roland [1 ]
Meisels, Ronald [1 ]
Kuchar, Friedemar [1 ]
Akis, Richard [2 ]
Ferry, David K. [2 ]
Bird, Jonathan P. [3 ]
机构
[1] Univ Leoben, Inst Phys, A-8700 Leoben, Austria
[2] Arizona State Univ, Dept Elect Engn, Tempe, AZ 85287 USA
[3] SUNY Buffalo, Dept Elect Engn, Buffalo, NY USA
基金
奥地利科学基金会;
关键词
quantum chaos; magneto-transport; quantum billiards;
D O I
10.1016/j.physe.2007.08.118
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
We investigate the classical and quantum dynamics in an array of electron billiards within a magnetic field. The resulting modification of the phase space due to the magnetic field can be directly related to the experimentally observed magneto-resistance. We argue that the behaviour of chaos plays an important role in the transport of such ballistic devices. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:1315 / 1318
页数:4
相关论文
共 14 条
[1]  
AKIS R, 2003, ELECT TRANSPORT QUAN
[2]   Draining of the sea of chaos: Role of resonant transmission and reflection in an array of billiards [J].
Brunner, R. ;
Meisels, R. ;
Kuchar, F. ;
Akis, R. ;
Ferry, D. K. ;
Bird, J. P. .
PHYSICAL REVIEW LETTERS, 2007, 98 (20)
[3]   Investigations of backscattering peaks and of the nature of the confining potential in open quantum dots [J].
Brunner, R ;
Meisels, R ;
Kuchar, F ;
ElHassan, M ;
Bird, J ;
Ishibashi, K .
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2004, 21 (2-4) :491-495
[4]   Classical and quantum mechanical transport simulations in open quantum dots [J].
Brunner, Roland ;
Meisels, Ronald ;
Kuchar, Friedemar ;
Akis, Richard ;
Ferry, David K. ;
Bird, Jonathan P. .
JOURNAL OF COMPUTATIONAL ELECTRONICS, 2007, 6 (1-3) :93-96
[5]   QUANTUM POINCARE SECTIONS FOR 2-DIMENSIONAL BILLIARDS [J].
CRESPI, B ;
PEREZ, G ;
CHANG, SJ .
PHYSICAL REVIEW E, 1993, 47 (02) :986-991
[6]   Magnetically induced Bragg scattering of electrons in quantum-dot crystals [J].
Elhassan, M ;
Akis, R ;
Bird, JP ;
Ferry, DK ;
Ida, T ;
Ishibashi, K .
PHYSICAL REVIEW B, 2004, 70 (20) :205341-1
[7]   Einselection in action: Decoherence and pointer states in open quantum dots [J].
Ferry, DK ;
Akis, R ;
Bird, JP .
PHYSICAL REVIEW LETTERS, 2004, 93 (02) :026803-1
[8]   Chaotic electron diffusion through stochastic webs enhances current flow in superlattices [J].
Fromhold, TM ;
Patanè, A ;
Bujkiewicz, S ;
Wilkinson, PB ;
Fowler, D ;
Sherwood, D ;
Stapleton, SP ;
Krokhin, AA ;
Eaves, L ;
Henini, M ;
Sankeshwar, NS ;
Sheard, FW .
NATURE, 2004, 428 (6984) :726-730
[9]  
Gutzwiller MC, 1990, CHAOS CLASSICAL QUAN
[10]  
Husimi K., 1940, P PHYS MATH SOC JPN, V22, P246