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19922026
most citedJunction of several weakly interacting quantum wires: a renormalization group study

108 citations · 1k across the 76 of their papers we have counts for

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cond-mat.str-el2023★ 5 cited

Two-channel Kondo problem in coupled interacting helical liquids

Sourav Biswas, Alessandro De Martino, Sumathi Rao +1

We study the two-channel Kondo problem in the context of two interacting helical liquids coupled to a spin- magnetic impurity. We show that the interactions between the tw…

cond-mat.str-el2020★ 12 cited

Kohn-Sham Density Functional Theory of Abelian Anyons

Yayun Hu, G. Murthy, S. Rao +1

We develop a density functional treatment of non-interacting abelian anyons, which is capable, in principle, of dealing with a system of a large number of anyons in an external pot…

cond-mat.str-el2006★ 12 cited

Renormalization group study of the Kondo problem at a junction of several Luttinger wires

V. Ravi Chandra, Sumathi Rao, Diptiman Sen

We study a system consisting of a junction of N quantum wires, where the junction is characterized by a scalar S-matrix, and an impurity spin is coupled to the electrons close to t…

cond-mat.str-el2005★ 5 cited

A multi-channel fixed point for a Kondo spin coupled to a junction of Luttinger liquids

V. Ravi Chandra, Sumathi Rao, Diptiman Sen

We study a system of an impurity spin coupled to a junction of several Tomonaga-Luttinger liquids using a renormalization group scheme. For the decoupled S-matrix at the junction,…

cond-mat.str-el2003★ 39 cited

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

Sourin Das, Sumathi Rao, Diptiman Sen

We examine the effect of interactions between the electrons on the conductances of some systems of quantum wires with different geometries. The systems include a wire with a stub i…

cond-mat.str-el2002★ 108 cited

Junction of several weakly interacting quantum wires: a renormalization group study

Siddhartha Lal, Sumathi Rao, Diptiman Sen

We study the conductance of three or more semi-infinite wires which meet at a junction. The electrons in the wires are taken to interact weakly with each other through a short-rang…

cond-mat.str-el2001★ 13 cited

Conductance through contact barriers of a finite length quantum wire

Siddhartha Lal, Sumathi Rao, Diptiman Sen

We use the technique of bosonization to understand a variety of recent experimental results on the conductivity of a quantum wire. The quantum wire is taken to be a finite-length L…

cond-mat.str-el2000★ 24 cited

Transport through quasi-ballistic quantum wires: the role of contacts

Siddhartha Lal, Sumathi Rao, Diptiman Sen

We model one-dimensional transport through each open channel of a quantum wire by a Luttinger liquid with three different interaction parameters for the leads, the contact regions…

cond-mat.str-el2000

An introduction to bosonization and aome of its applications

Sumathi Rao, Diptiman Sen

We discuss the technique of bosonization for studying systems of interacting fermions in one dimension. After briefly reviewing the low-energy properties of Fermi and Luttinger liq…

cond-mat.str-el1999

Transport in a class of exactly solvable models of interacting fermions

P. K. Mohanty, Sumathi Rao

We study transport in a class of exactly solvable models of interacting fermions in one dimension. We contrast these models with models of non-interacting fermions in an Aharanov-B…

cond-mat.str-el1999★ 1 cited

Transport in Luttinger Liquids

Sumathi Rao

We give a brief introduction to Luttinger liquids and to the phenomena of electronic transport or conductance in quantum wires. We explain why the subject of transport in Luttinger…

cond-mat.str-el1998★ 6 cited

Transport in Double-Crossed Luttinger Liquids

P. Durganandini, Sumathi Rao

We study transport through two Luttinger liquids (one-dimensional electrons interacting through a Coulomb repulsion in a metal) coupled together at {\it two} points. External volta…