Sd. Prado et Mam. Deaguiar, CHAOTIC-TO-REGULAR TRANSITION IN A SEMICLASSICAL ELECTRON-GAS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(2), 1996, pp. 1369-1377
We study the magnetic susceptibility chi of a two-dimensional noninter
acting electron gas confined by a smooth chaotic potential. The comput
ation of chi for a wide range of magnetic held values B reveals that t
he chaotic (B = 0) to regular (B --> (infinity)) transition is dominat
ed by bifurcations of short periodic orbits that become stable as B in
creases. The families of stable orbits and tori contained in the assoc
iated stability islands do not play any special role in this regime. L
arge contributions, however, are observed near the bifurcation points,
increasing the average susceptibility to values beyond those expected
for regular systems.