Negative Magneto—Resistance Beyond Weak Localization in Three—Dimensional Billiards:Effect of Arnold Diffusion

查看全文 作　　者：[1]MAJun;YUANRen-[2]Kuan;等 机构地区：[1]DpeartmentofAppliedPhysics,OsakaCityUniversity,Sumiyoshi,Osaka558-8585,Japan;TemasekLaboratories,NationalUniversityofSIngapore,10KentRidgeCrescent,119260Singapore;[2]DepartmentofPhysics 出　　处：《Communications in Theoretical Physics》索引2003年第39卷第3期,共6页 摘　　要：We investigate a semiclassical conductance for ballistic open three-dimensional (3-d) billiards. For partially or completely broken-ergodic 3-d billiards such as SO(2) symmetric billiards, the dependence of the conductance on the Fermi wavenumber is dramatically changed by the lead orientation. Application of a symmetry-breaking weak magnetic field brings about mixed phase-space structures of 3-d billiards which ensures a novel Arnold diffusion that cannot be seen in 2-d billiards. In contrast to the 2-d case, the anomalous increment of the conductance should inevitably include a contribution arising from Arnold diffusion as well as a weak localization correction. Discussions are devoted to the physical condition for observing this phenomenon. 关 键 词：浑沌系统 负磁阻 三维Billiard