Semiclassical theory of magnetotransport through a chaotic quantum well

被引:29
作者
Narimanov, EE
Stone, AD
Boebinger, GS
机构
[1] Yale Univ, New Haven, CT 06520 USA
[2] Lucent Technol, Bell Labs, Murray Hill, NJ 07974 USA
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevLett.80.4024
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We develop a quantitative semiclassical formula for the resonant tunneling current through a quantum well in a tilted magnetic field. It is shown that the current depends only on periodic orbits within the quantum well. For example, the theory explains the puzzling evolution of the data near a tilt angle of 30 degrees as arising from an exchange bifurcation of the relevant periodic orbits.
引用
收藏
页码:4024 / 4027
页数:4
相关论文
共 17 条
[1]   ELECTRONIC-PROPERTIES OF TWO-DIMENSIONAL SYSTEMS [J].
ANDO, T ;
FOWLER, AB ;
STERN, F .
REVIEWS OF MODERN PHYSICS, 1982, 54 (02) :437-672
[2]   TUNNELLING FROM A MANY-PARTICLE POINT OF VIEW [J].
BARDEEN, J .
PHYSICAL REVIEW LETTERS, 1961, 6 (02) :57-&
[3]   QUANTUM SCARS OF CLASSICAL CLOSED ORBITS IN PHASE-SPACE [J].
BERRY, MV .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1989, 423 (1864) :219-231
[4]   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
[5]   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
[6]   EVIDENCE FOR QUANTUM STATES CORRESPONDING TO FAMILIES OF STABLE AND CHAOTIC CLASSICAL ORBITS IN A WIDE POTENTIAL WELL [J].
FROMHOLD, TM ;
FOGARTY, A ;
EAVES, L ;
SHEARD, FW ;
HENINI, M ;
FOSTER, TJ ;
MAIN, PC ;
HILL, G .
PHYSICAL REVIEW B, 1995, 51 (24) :18029-18032
[7]  
Gutzwiller MC, 1990, CHAOS CLASSICAL QUAN
[8]  
LICHTENBERG AJ, 1994, REGULAR CHAOTIC DYNA
[9]   SEMICLASSICAL QUANTIZATION OF NONSEPARABLE SYSTEMS - NEW LOOK AT PERIODIC ORBIT THEORY [J].
MILLER, WH .
JOURNAL OF CHEMICAL PHYSICS, 1975, 63 (02) :996-999
[10]   Chaos in a quantum well in tilted fields: A scaling system [J].
Monteiro, TS ;
Dando, PA .
PHYSICAL REVIEW E, 1996, 53 (04) :3369-3373