@article{ISI:000243895600144,
 abstract = {We study a system consisting of a junction of N wires, where the
junction is characterized by a scalar S-matrix, and an impurity spin is
coupled to the electrons near the junction. The wires are modeled as
weakly interacting Tomonaga-Luttinger liquids. We derive the
renormalization group (RG) equations for the Kondo couplings of the spin
to the electrons on different wires. We analyze the RG flows and fixed
points for different values of the initial Kondo couplings and of the
junction S-matrix, such as the decoupled S-matrix and the Griffiths
(connected) S-matrix. We find that the Kondo couplings flow either
towards a ferromagnetic (FM) fixed point or towards large and
antiferromagnetic (AFM) values in one of two ways. For the Griffiths
S-matrix, one of the strong coupling flows is towards a FM fixed point
with decoupled wires; this is seen by a perturbative analysis. Thus if
we start with a system of connected wires with an AFM coupling to the
spin impurity, the flow at large distances is towards a system of
disconnected wires at the FM fixed point. For the decoupled S-matrix,
the flow is either to a FM fixed point or to one of two strong coupling
fixed points in which all the channels are strongly coupled to each
other through the impurity spin. Strong interactions between the
electrons with K-rho < N/(N+2) can stabilize a multichannel fixed point
in which the coupling between different channels goes to zero. We also
study the temperature dependence of the conductance at the decoupled and
Griffiths S-matrices.},
 article-number = {045435},
 author = {Chandra, V. Ravi and Rao, Sumathi and Sen, Diptiman},
 doi = {10.1103/PhysRevB.75.045435},
 eissn = {2469-9969},
 issn = {2469-9950},
 journal = {PHYSICAL REVIEW B},
 month = {JAN},
 number = {4},
 times-cited = {9},
 title = {Renormalization group study of the Kondo problem at a junction of
several Luttinger wires},
 unique-id = {ISI:000243895600144},
 volume = {75},
 year = {2007}
}