UNIGE document Scientific Article
previous document  unige:4243  next document
add to browser collection

Local Friedel sum rule on graphs

Published in Physical Review. B, Condensed Matter. 2003, vol. 67, no. 24, p. 245410.1-245410.15
Abstract We consider graphs made of one-dimensional wires connected at vertices and on which may live a scalar potential. We are interested in a scattering situation where the graph is connected to infinite leads. We investigate relations between the scattering matrix and the continuous part of the local density of states, the injectivities, emissivities and partial local density of states. Those latter quantities can be obtained by attaching an extra lead at the point of interest and by investigating the transport in the limit of zero transmission into the additional lead. In addition to the continuous part related to the scattering states, the spectrum of graphs may present a discrete part related to states that remain uncoupled to the external leads. The theory is illustrated with the help of a few simple examples.
Keywords Mesoscopic systems and quantum hall effectCondensed matter
Full text
Article - public document Free access
(ISO format)
TEXIER, Christophe, BUTTIKER, Markus. Local Friedel sum rule on graphs. In: Physical Review. B, Condensed Matter, 2003, vol. 67, n° 24, p. 245410.1-245410.15. https://archive-ouverte.unige.ch/unige:4243

228 hits



Deposited on : 2009-11-30

Export document
Format :
Citation style :