Low energy dynamics of the one dimensional multichannel Kondo-Heisenberg Lattice

TL;DR

This paper exactly characterizes the low energy fixed point of a one-dimensional multichannel Kondo-Heisenberg lattice, revealing an anomalous singlet and dominant instabilities for certain channel numbers.

Contribution

It provides an exact solution for the fixed point Hamiltonian of the multichannel Kondo-Heisenberg lattice for any number of channels N≥2, highlighting new anomalous singlet states.

Findings

Identification of an anomalous singlet with internal dynamics

Correlation functions of various order parameters computed

For N≤4, composite order parameters induce dominant instabilities

Abstract

We determine exactly the fixed point Hamiltonian of the one dimensional multichannel Kondo-Heisenberg lattice model for any number of channels N>=2. An anomalous singlet with non trivial internal dynamics is generated. We compute the correlation functions of the various conventional and unconventional order parameters of the system and find that for N<=4 the composite order parameter induce the dominant instabilities.