title: Scanning tunneling microscopic images and scanning tunneling spectra for coupled rectangular quantum corrals.
abstract: Assuming that an electron confined by double δ-function barriers lies in a quasi-stationary state, we derived eigenstates and eigenenergies of the electron. Such an electron has a complex eigenenergy, and the imaginary part naturally leads to the lifetime of the electron associated with tunneling through barriers. We applied this point of view to the electron confined in a rectangular quantum corral (QC) on a noble metal surface, and obtained scanning tunneling microscopic images and a scanning tunneling spectrum consistent with experimental ones. We investigated the electron states confined in coupled QCs and obtained the coupled states constructed with bonding and anti-bonding states. Using those energy levels and wavefunctions we specified scanning tunneling microscope (STM) images and scanning tunneling spectra (STS) for the doubly and triply coupled QCs. In addition we pointed out the feature of resonant electron states associated with the same QCs at both ends of the triply coupled QCs.
authors.affiliation: Department of Materials Science, Graduate School, Saitama Institute of Technology, 1690 Fusaiji, Fukaya-City, Saitama 369-0293, Japan.
authors.forename: Shigenori
authors.initials: S
authors.lastname: Mitsuoka
authors.forename: Akira
authors.initials: A
authors.lastname: Tamura