Chaos in a quantum well in tilted fields: A scaling system

被引：19

作者：

Monteiro, TS

Dando, PA

机构：

[1] Department of Physics and Astronomy, University College, University of London, London, WC1E 6BT, Gower Street

来源：

PHYSICAL REVIEW E | 1996年 / 53卷 / 04期

关键词：

D O I：

10.1103/PhysRevE.53.3369

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

Recent experiments have shown that the resonant tunneling diode in a tilted magnetic field is a new and promising probe of quantum chaos. We show that by using a scaling transformation a quantum spectrum is obtained that corresponds to a single classical regime and may be reliably analyzed in terms of periodic orbits. We show that for parameters close to experimental values (with an injection energy of about 25% of that due to the voltage drop), with increasing tilt angle, the disappearance of one set of fluctuations in the tunneling current is associated with a confluence where two periodic orbits are absorbed, persisting briefly in the spectrum as a ''ghost.''

引用

页码：3369 / 3373

页数：5

共 10 条

[1] BEYOND PERIODIC-ORBITS - AN EXAMPLE IN NONHYDROGENIC ATOMS [J].

DANDO, PA ;

MONTEIRO, TS ;

DELANDE, D ;

TAYLOR, KT .

PHYSICAL REVIEW LETTERS, 1995, 74 (07) :1099-1102

[2] EFFECT OF CLOSED CLASSICAL ORBITS ON QUANTUM SPECTRA - IONIZATION OF ATOMS IN A MAGNETIC-FIELD .2. DERIVATION OF FORMULAS [J].

DU, ML ;

DELOS, JB .

PHYSICAL REVIEW A, 1988, 38 (04) :1913-1930

[3]

DU ML, 1992, PHYS REV A, V46, P1455

[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]

FROMHOLD TM, 1994, PHYS REV LETT, V72, P3608

[6]

Gutzwiller MC, 1990, CHAOS CLASSICAL QUAN

[7] PREBIFURCATION PERIODIC GHOST ORBITS IN SEMICLASSICAL QUANTIZATION [J].

KUS, M ;

HAAKE, F ;

DELANDE, D .

PHYSICAL REVIEW LETTERS, 1993, 71 (14) :2167-2171

[8] 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

[9] CHAOTIC LANDAU-LEVEL MIXING IN CLASSICAL AND QUANTUM-WELLS [J].

SHEPELYANSKY, DL ;

STONE, AD .

PHYSICAL REVIEW LETTERS, 1995, 74 (11) :2098-2101

[10] CONNECTION BETWEEN LONG-RANGE CORRELATIONS IN QUANTUM SPECTRA AND CLASSICAL PERIODIC-ORBITS [J].

WINTGEN, D .

PHYSICAL REVIEW LETTERS, 1987, 58 (16) :1589-1592

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