Using semiclassical periodic orbit theory for a chaotic system in a weak magnetic field, we obtain the form factor predicted by Pandey and Mehta's two matrix model up to the third order. The third order contribution has a peculiar term which exists only in the intermediate crossover domain between the GOE (Gaussian orthogonal ensemble) and the GUE (Gaussian unitary ensemble) universality classes. The exact expression is obtained by taking account of the contribution from encounter regions where orbit loops are connected.
|ジャーナル||Physics Letters, Section A: General, Atomic and Solid State Physics|
|出版ステータス||Published - 2006 4 3|
ASJC Scopus subject areas
- Physics and Astronomy(all)