@article{ISI:000293128900014,
 abstract = {In a recent paper, we combined the technique of bosonization with the
concept of a Rayleigh dissipation function to develop a model for
resistances in one-dimensional systems of interacting spinless electrons
[Europhys. Lett. 93, 57007 (2011)]. We also studied the conductance of
a system of three wires by using a current splitting matrix M at the
junction. In this paper, we extend our earlier work in several ways. The
power dissipated in a three-wire system is calculated as a function of M
and the voltages applied in the leads. By combining two junctions of
three wires, we examine a system consisting of two parallel resistances.
We study the conductance of this system as a function of the M matrices
and the two resistances; we find that the total resistance is generally
quite different from what one expects for a classical system of parallel
resistances. We do a sum over paths to compute the conductance of this
system when one of the two resistances is taken to be infinitely large.
We study the conductance of a three-wire system of interacting spin-1/2
electrons, and show that the charge and spin conductances can generally
be different from each other. Finally, we consider a system of two wires
that are coupled by a dissipation function, and we show that this leads
to a current in one wire when a voltage bias is applied across the other
wire.},
 article-number = {035422},
 author = {Soori, Abhiram and Sen, Diptiman},
 doi = {10.1103/PhysRevB.84.035422},
 issn = {1098-0121},
 journal = {PHYSICAL REVIEW B},
 month = {JUL 25},
 number = {3},
 orcid-numbers = {Soori, Abhiram/0000-0003-2756-0852},
 times-cited = {4},
 title = {Model of resistances in systems of Tomonaga-Luttinger liquid wires},
 unique-id = {ISI:000293128900014},
 volume = {84},
 year = {2011}
}