Negative Eigenvalue Counting Method for One-DimensionalMesoscopic Rings
-
Abstract
Negative eigenvalue counting method has been extended to deal with the closed ring with large number of atoms threaded by a magnetic flux. This new method is extremely computer memory-saving and can be used to accurately determine the eigen-values and eigenvectors. As numerical examples, the results of second moment and persistent current are presented. -
References
-
Related Articles
[1] YANG Hao, ZHAO Bao-Sheng, SHENG Li-Zhi, LI Mei, YAN Qiu-Rong, LIU Yong-An. A Single Photon Counting Detector Based on One-Dimensional Vernier Anode [J]. Chin. Phys. Lett., 2010, 27(5): 058501. doi: 10.1088/0256-307X/27/5/058501 [2] Okan Özer. Eigenvalue Problems of non-Hermitian Systems via Improved Asymptotic Iteration Method [J]. Chin. Phys. Lett., 2008, 25(9): 3111-3114. [3] YU Xiao-Tong, WEI Ze-Yong, LI Hong-Qiang, ZHANG Ye-Wen, CHEN Hong. Negative Refraction in One-Dimensional Photonic Crystals with Tilted Interface [J]. Chin. Phys. Lett., 2007, 24(12): 3447-3449. [4] I. Boztosun, M. Karakoc. An Improvement of the Asymptotic Iteration Method for Exactly Solvable Eigenvalue Problems [J]. Chin. Phys. Lett., 2007, 24(11): 3028-3031. [5] GE Jin, YIN Wen-Jing, LONG Yong-Fu, DING Xun-Min, HOU Xiao-Yuan. Positive and Negative Pulse Etching Method of Porous Silicon Fabrication [J]. Chin. Phys. Lett., 2007, 24(5): 1361-1364. [6] SUI Qiang, LIU Ci-Xiang, LI Chao, LI Fang. Verification and Calculation of Negative Refractive Indices of a Meta-Material by Numerical Method [J]. Chin. Phys. Lett., 2005, 22(8): 2073-2076. [7] JIANG Hai-Tao, CHEN Hong, LI Hong-Qiang, ZHANG Ye-Wen. Omnidirectional Gaps of One-Dimensional Photonic Crystals Containing Single-Negative Materials [J]. Chin. Phys. Lett., 2005, 22(4): 884-886. [8] HE Ying, CAO Zhuang-Qi, SHEN Qi-Shun. Derivation of Exact Eigenvalues and Eigenfunctions Based on the Analytical Transfer Matrix Method [J]. Chin. Phys. Lett., 2004, 21(11): 2089-2092. [9] LIU Xue-Shen, CHI Yu-Hua, DING Pei-Zhu. Symplectic Schemes and the Shooting Method for Eigenvalues of the Schrödinger Equation [J]. Chin. Phys. Lett., 2004, 21(9): 1681-1684. [10] WANG Xiao-guang, YU Rong-jin, XIE Cheng-jun. On the Eigenvalue Problem in One-Dimensional Mesoscopic Rings with Electron-Phonon Coupling [J]. Chin. Phys. Lett., 1997, 14(6): 401-404.