A diatomic network model for electronic states of bulk, surface and thin films

Quantum transport for resistor networks is developed with a general form factor, where each node point of the network is associated with a potential. The phase factor of the wave function in between two adjacent nodes is related to the reAection coefficient along that path. The exact transmission probability for a generalized Aharonov-Bohm ring is derived for a clean and cold crystal ring of arbitrary two-lead connections. The evenand odd-numbered rings have distinctly different transmission behaviors. The periodicity of the odd-numbered ring with respect to the threaded magnetic Aux is shown to be double to that of an even-numbered one. The origin of this double periodicity is universal and is shown to be due to the standing wave produced by the two wave paths differing by odd-numbered lattice spacings at the Fermi energy. We also show that the double periodicity survives temperature averaging. Thus a mere one-atomic-spacing difference in electron paths of the ring will manifest itself in the difference of Aux periodicity from the mesoscopic scale to the molecular scale.binding or quantum-network models. Both are semiempirical in that they require parameters in terms of matrix elements or "bond" potentials, respectively, on a topological net, and both are designed to make efficient use 43 5012

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

A diatomic network model for electronic states of bulk, surface and thin films

Cited by 2 publications

References 8 publications

Scattering states of the Sech-squared potential

Scattering states of the Sech-squared potential

Quantum network theory of transport with application to the generalized Aharonov-Bohm effect in metals and semiconductors

Contact Info

Product

Resources

About