ScienceAsia 21 (1995): 075-095 |doi: 10.2306/scienceasia1513-1874.1995.21.075

ELECTRONIC STATES AND PERSISTENT CURRENTS IN THE ONE-DIMENSIONAL MESOSCOPIC RINGS

YOUYAN LIU^a, WICHIT SRITRAKOOL^b AND WEIMIN ZHANG^c

ABSTRACT: In this article the Dean's method of negative eigenvalue counting for one-dimensional chain has been extended to deal with the closed ring threaded by a magnetic flux. This new method is extremely computer memory-saving and can be used to accurately determine the eigenvalues and eigenvectors of a finite system with large number of atoms. For studying the properties of electronic states of the closed rings, we have investigated the first moment, second moment and inverse participation ratio of the wave functions for periodic, disordered and quasiperiodic systems in variety of magnetic flux and disorder degree. It is found that the second moment is an efficient parameter in the study of electronic states as well as persistent currents of the closed rings. The cluster-like structure of FM, SM, and IPR spectrum of the quasiperiodic ring as well as other interesting behaviours have "been observed. The relationship between the persistent current and second moment has been studied also.

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a Department of Physics, South China University of Technology, Guangzhou 510641, China.
b Forum for Theoretical Science, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand.
c Department of Polymer Materials Science & Engineering, South China University of Technology, Guangzhou 510641, China.

Received January 12, 1995