Artículos de revistas
SEMICLASSICAL THEORY OF MAGNETIZATION FOR A 2-DIMENSIONAL NONINTERACTING ELECTRON-GAS
Registro en:
Journal Of Physics A-mathematical And General. Iop Publishing Ltd, v. 27, n. 18, n. 6091, n. 6106, 1994.
0305-4470
WOS:A1994PJ65000018
10.1088/0305-4470/27/18/018
Autor
PRADO, SD
DEAGUIAR, MAM
KEATING, JP
DECARVALHO, RE
Institución
Resumen
We compute the semiclassical magnetization and susceptibility of non-interacting electrons, confined by a smooth two-dimensional potential and subjected to a uniform perpendicular magnetic field, in the general case when their classical motion is chaotic. It is demonstrated that the magnetization per particle m(B) is directly related to the staircase function N(E), which counts the single-particle levels up to energy E. Using Gutzwiller's trace formula for N, we derive a semiclassical expression for m. Our results show that the magnetization has a non-zero average, which arises from quantum corrections to the leading-order Weyl approximation to the mean staircase and which is independent of whether the classical motion is chaotic or not. Fluctuations about the average are due to classical periodic orbits and do represent a signature of chaos. This behaviour is confirmed by numerical computations for a specific system. 27 18 6091 6106