Tanaka, Kaori (1998) Semiclassical study of the magnetization of a quantum dot. ANNALS OF PHYSICS, 268 (1). pp. 31-60. ISSN 0003-4916, 1096-035X
Full text not available from this repository.Abstract
The magnetization of a quantum dot at zero temperature is examined within the semiclassical periodic orbit theory. Using two limits of the effective single-particle potential-a harmonic oscillator and a circular infinite-well potential (disc billiard)-we study the shell structure in the magnetization that oscillates as a function of the magnetic field around its average value given by the Landau susceptibility. For harmonic confinement, we apply for arbitrary field strength the Gutzwiller trace formula for isolated orbits. For disc confinement, a recently derived trace formula for arbitrarily strong magnetic fields (Blaschke and Brack, 1997; Blaschke, 1995) is employed. For both types of confinement, the "supershell" structure in the weak-held regime can be explained by the interference of the shortest periodic orbits. The Aharonov-Bohm oscillations in the strong-field regime are governed by the orbit that goes along the edge of the system. (C) 1998 Academic Press.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SIMPLE METAL-CLUSTERS; ORBITAL MAGNETISM; HARMONIC-OSCILLATOR; SHELL STRUCTURE; TRACE FORMULA; FIELD; SPECTRUM; STATES; BILLIARD; PHYSICS |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 16 Feb 2023 09:19 |
| Last Modified: | 16 Feb 2023 09:19 |
| URI: | https://pred.uni-regensburg.de/id/eprint/49521 |
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