Semiclassical description of resonant tunneling

被引:19
作者
Bogomolny, EB
Rouben, DC
机构
[1] Univ Paris 11, Inst Phys Nucl, Div Phys Theor, CNRS,Unit Rech, F-91405 Orsay, France
[2] Univ Paris 06, Inst Phys Nucl, Div Phys Theor, CNRS,Unit Rech, F-91405 Orsay, France
来源
EUROPHYSICS LETTERS | 1998年 / 43卷 / 02期
关键词
D O I
10.1209/epl/i1998-00327-4
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We derive a semiclassical formula for the tunneling current of electrons trapped in a potential well which can tunnel into and across a wide quantum well. The calculations idealize an experimental situation where a strong magnetic field tilted with respect to an electric field is used. The resulting semiclassical expression is written as the sum over special periodic orbits which hit both walls of the quantum well and are perpendicular to the first wall. Different types of approximations are discussed.
引用
收藏
页码:111 / 116
页数:6
相关论文
共 13 条
[1]   TUNNELLING FROM A MANY-PARTICLE POINT OF VIEW [J].
BARDEEN, J .
PHYSICAL REVIEW LETTERS, 1961, 6 (02) :57-&
[2]  
FEYMANN R, 1965, QUANTUM MECH PATH IN
[3]   MANIFESTATIONS OF CLASSICAL CHAOS IN THE ENERGY-LEVEL SPECTRUM OF A QUANTUM-WELL [J].
FROMHOLD, TM ;
WILKINSON, PB ;
SHEARD, FW ;
EAVES, L ;
MIAO, J ;
EDWARDS, G .
PHYSICAL REVIEW LETTERS, 1995, 75 (06) :1142-1145
[4]   MAGNETOTUNNELING SPECTROSCOPY OF A QUANTUM-WELL IN THE REGIME OF CLASSICAL CHAOS [J].
FROMHOLD, TM ;
EAVES, L ;
SHEARD, FW ;
LEADBEATER, ML ;
FOSTER, TJ ;
MAIN, PC .
PHYSICAL REVIEW LETTERS, 1994, 72 (16) :2608-2611
[5]   INTER-LANDAU-LEVEL TRANSITIONS OF RESONANTLY TUNNELING ELECTRONS IN TILTED MAGNETIC-FIELDS [J].
LEADBEATER, ML ;
SHEARD, FW ;
EAVES, L .
SEMICONDUCTOR SCIENCE AND TECHNOLOGY, 1991, 6 (10) :1021-1024
[6]   SEMICLASSICAL QUANTIZATION OF NONSEPARABLE SYSTEMS - NEW LOOK AT PERIODIC ORBIT THEORY [J].
MILLER, WH .
JOURNAL OF CHEMICAL PHYSICS, 1975, 63 (02) :996-999
[7]   Chaos in a quantum well in tilted fields: A scaling system [J].
Monteiro, TS ;
Dando, PA .
PHYSICAL REVIEW E, 1996, 53 (04) :3369-3373
[8]   Bifurcations and the transition to chaos in the resonant-tunneling diode [J].
Monteiro, TS ;
Delande, D ;
Fisher, AJ ;
Boebinger, GS .
PHYSICAL REVIEW B, 1997, 56 (07) :3913-3921
[9]   PRECURSORS AND TRANSITION TO CHAOS IN A QUANTUM-WELL IN A TILTED MAGNETIC-FIELD [J].
MULLER, G ;
BOEBINGER, GS ;
MATHUR, H ;
PFEIFFER, LN ;
WEST, KW .
PHYSICAL REVIEW LETTERS, 1995, 75 (15) :2875-2878
[10]  
SARAGA D, 1998, UNPUB PHYS REV E