Two-channel Kondo model as a generalized one-dimensional inverse square long-range Haldane-Shastry spin model
arXiv:cond-mat/0001415 · doi:10.1088/0953-8984/12/12/102
Abstract
Majorana fermion representations of the algebra associated with spin, charge, and flavor currents have been used to transform the two-channel Kondo Hamiltonian. Using a path integral formulation, we derive a reduced effective action with long-range impurity spin-spin interactions at different imaginary times. In the semiclassical limit, it is equivalent to a one-dimensional Heisenberg spin chain with two-spin, three-spin, etc. long-range interactions, as a generalization of the inverse-square long-range Haldane-Shastry spin model. In this representation the elementary excitations are "semions", and the non-Fermi-liquid low-energy properties of the two-channel Kondo model are recovered.
4 pages, no figure, to be published in J. Phys.: Condens. Matter, 2000