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Two-channel Kondo model as a generalized one-dimensional inverse square long-range Haldane-Shastry spin model

Guang-Ming Zhang·Lu Yu
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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.

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Guang-Ming Zhang, Lu Yu. 2000-01-28. Two-channel Kondo model as a generalized one-dimensional inverse square long-range Haldane-Shastry spin model. https://doi.org/10.1088/0953-8984%2F12%2F12%2F102

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