MANIFESTATIONS OF CLASSICAL CHAOS IN THE ENERGY-LEVEL SPECTRUM OF A QUANTUM-WELL

被引:103
作者
FROMHOLD, TM
WILKINSON, PB
SHEARD, FW
EAVES, L
MIAO, J
EDWARDS, G
机构
[1] Department of Physics, University of Nottingham
关键词
D O I
10.1103/PhysRevLett.75.1142
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The electronic energy levels and eigenfunctions of a wide potential well in a double barrier structure with a large tilted magnetic field are investigated in the regime of strong classical chaos. Periodic modulations of the level density are identified and related to distinct unstable closed classical orbits. Single periodic orbits ''scar'' the wave functions corresponding to regular subsets of energy levels determined by quantizing the classical action. Pronounced features in the tunneling rates into the well provide an experimentally accessible means of studying wave-function scarring.
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页码:1142 / 1145
页数:4
相关论文
共 15 条
[1]   SEMICLASSICAL CRITERION FOR SCARS IN WAVE-FUNCTIONS OF CHAOTIC SYSTEMS [J].
AGAM, O ;
FISHMAN, S .
PHYSICAL REVIEW LETTERS, 1994, 73 (06) :806-809
[2]   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]   QUANTUM-MECHANICS OF A CLASSICALLY CHAOTIC SYSTEM - OBSERVATIONS ON SCARS, PERIODIC-ORBITS, AND VIBRATIONAL ADIABATICITY [J].
ECKHARDT, B ;
HOSE, G ;
POLLAK, E .
PHYSICAL REVIEW A, 1989, 39 (08) :3776-3793
[5]   MAGNETORESISTANCE DUE TO CHAOS AND NONLINEAR RESONANCES IN LATERAL SURFACE SUPERLATTICES [J].
FLEISCHMANN, R ;
GEISEL, T ;
KETZMERICK, R .
PHYSICAL REVIEW LETTERS, 1992, 68 (09) :1367-1370
[6]   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
[7]   MAGNETOTUNNELING SPECTROSCOPY - AN EXPERIMENTAL TOOL FOR STUDYING CHAOS IN QUANTUM TRANSPORT [J].
FROMHOLD, TM ;
LEADBEATER, ML ;
EAVES, L ;
FOSTER, TJ ;
SHEARD, FW ;
MAIN, PC ;
MCDONNELL, PJ ;
FOGARTY, A .
SEMICONDUCTOR SCIENCE AND TECHNOLOGY, 1994, 9 (05) :488-492
[8]  
FROMHOLD TM, IN PRESS
[9]  
HASEGAWA H, 1989, PROG THEOR PHYS SUPP, P198, DOI 10.1143/PTPS.98.198
[10]   BOUND-STATE EIGENFUNCTIONS OF CLASSICALLY CHAOTIC HAMILTONIAN-SYSTEMS - SCARS OF PERIODIC-ORBITS [J].
HELLER, EJ .
PHYSICAL REVIEW LETTERS, 1984, 53 (16) :1515-1518