R.A. Brualdi, A.J. Hoffman
Linear Algebra and Its Applications
Electrons occupying surface states on the close-packed faces of the noble metals form a two-dimensional (2D) nearly-free electron gas that can be imaged with a scanning tunneling microscope (STM). We find that Fe adatoms strongly scatter metallic surface state electrons, and so are good building blocks for constructing atomic-scale barriers to confine these electrons. The barriers ("quantum corrals") are constructed by individually positioning Fe adatoms using the tip of a cold (4K) STM. Tunneling spectroscopy performed inside of the corrals reveals discrete resonances, consistent with size quantization. A more quantitative understanding is obtained by accounting for the multiple-scattering of the surface state electrons with the corrals' constituent adatoms. This scattering is characterized by a complex phase shift which can be extracted from the electronic density pattern inside a quantum corral. © 1995.
R.A. Brualdi, A.J. Hoffman
Linear Algebra and Its Applications
Da-Ke He, Ashish Jagmohan, et al.
ISIT 2007
Richard M. Karp, Raymond E. Miller
Journal of Computer and System Sciences
Harpreet S. Sawhney
IS&T/SPIE Electronic Imaging 1994