Conductance of multichannel topological Kondo model

A physically motivated multichannel topological Kondo (MCTK) model using $M$ majoranas [SO($M$) ``spin"] and $N$ spinless electron channels has been proposed for achieving more exotic anyons with non-square root quantum dimensions which is a key requirement for universal topological quantum computation. The intermediate fixed point of MCTK has been analyzed through large-$N$ perturbative calculations, which gives a zero-temperature conductance decaying as $1/N^2$ in the large-$N$ limit. However, the conductance at this intermediate fixed point has not been calculated for generic $N$. Using the conformal field theory techniques, we find the fixed point conductance expressed in terms of the modular S-matrix of SO($M$) for general $N$. We will also describe the finite temperature and gate-voltage corrections to the conductance by using perturbative T-matrix technique. We outline the conditions for observing non-Fermi liquid temperature dependence of the conductance in the MCTK system.