Segal Dvira, Král Petr, Shapiro Moshe
Department of Chemical Physics, Weizmann Institute of Science, 76100 Rehovot, Israel.
J Chem Phys. 2005 Apr 1;122(13):134705. doi: 10.1063/1.1865932.
We investigate the reentrant onset of chaos in "tubular image states," which are loosely bound states of electrons formed in the vicinity (20-40 nm) of conducting nanotubes. Chaos is shown to arise when an electron is placed in the vicinity of two metallic nanotubess with a magnetic field applied along the tubes. At stronger magnetic fields B approximately 10 T, we observe the formation of Landau-like states encircling the two-tube system, which wipe out the chaos. We can reinstall the chaos by charging oppositely the nanotubes, thus breaking the symmetry of the system and correspondingly the shape of the Landau-like states. Detailed analysis of the onset of chaos is done by studying the statistical properties of the eigenvalues spectrum and by investigating the spatial autocorrelation functions of individual eigenstates.
我们研究了“管状图像态”中混沌的折返起始，“管状图像态”是在导电纳米管附近（20 - 40纳米）形成的电子松散束缚态。当一个电子置于两根金属纳米管附近且沿纳米管施加磁场时，会出现混沌现象。在更强的磁场B约为10 T时，我们观察到围绕双管系统形成了类似朗道态的状态，这消除了混沌。我们可以通过给纳米管反向充电来重新引入混沌，从而打破系统的对称性以及相应地改变类似朗道态的形状。通过研究本征值谱的统计特性以及研究各个本征态的空间自相关函数，对混沌的起始进行了详细分析。
