Conductance of interacting quantum wires and junctions

by Abhiram Soori

at Condensed Matter Seminar

Mon, 04 Apr 2016, 11:30
Physics building (#54) room 207

Abstract

Conductance of quantum wires connected to Fermi liquid leads has been extensively studied in literature In such 1 dimensional systems effects of interactions are taken into account by the technique of Bosonization After briefly discussing the phenomenological model 1 that describes a continuous patch of resistance in quantum wires transport in junctions of three quantum wires will be taken up This has been studied using the current splitting matrix M matrix to describe the junction in the bosonised language An important result of our analysis is that conductance matrix depends on the interaction parameter only when time reversal symmetry is broken at the junction Further the conductance of a parallel combination of two resistances will be discussed where we find non trivial results for the conductance 2 At the end if time permits our results on: i crossed Andreev reflection 3 and ii adiabatic pumping in topological insulators will be briefly discussed 3 4 5 References: 1 A Soori and D Sen EPL 93 2011 57007 2 A Soori and D Sen PRB 84 2011 035422 3 A Soori and S Mukerjee arXiv: 1603 00363 4 A Soori and D Sen Phys Rev B 82 115432 2010 5 A Soori S Das and S Rao Phys Rev B 86 125312 2012

Created on 29-03-2016 by Bar Lev, Yevgeny (ybarlev)
Updaded on 29-03-2016 by Bar Lev, Yevgeny (ybarlev)