Semiclassical Study of the Magnetization of a Quantum Dot

✍ Scribed by Kaori Tanaka

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 912 KB
• Volume: 268
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1006/aphy.1998.5824

✦ Synopsis

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-field 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.