English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We examine the effect of interactions between the electrons on theconductances of some systems of quantum wires with different geometries. Thesystems include a wire with a stub in the middle, a wire containing a ringwhich can enclose a magnetic flux, and a system of four wires which areconnected in the middle through a fifth wire. Each of the wires is taken to bea weakly interacting Tomonaga-Luttinger liquid, and scattering matrices areintroduced at all the junctions. Using a renormalization group method developedrecently for studying the flow of scattering matrices for interacting systemsin one dimension, we compute the conductances of these systems as functions ofthe temperature and the wire lengths. We present results for all three regimesof interest, namely, high, intermediate and low temperature. These correspondrespectively to the thermal coherence length being smaller than, comparable toand larger than the smallest wire length in the different systems, i.e., thelength of the stub or each arm of the ring or the fifth wire. Therenormalization group procedure and the formulae used to compute theconductances are different in the three regimes. We present aphenomenologically motivated formalism for studying the conductances in theintermediate regime where there is only partial coherence. At low temperatures,we study the line shapes of the conductances versus the electron energy nearsome of the resonances; the widths of the resonances go to zero with decreasingtemperature. Our results show that the conductances of various systems ofexperimental interest depend on the temperature and lengths in a non-trivialway when interactions are taken into account.Comment: Revtex, 17 pages including 15 figure

Renormalization group study of the conductances of interacting quantum wire systems with different geometries