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I construct non-Fermi liquid (NFL) quantum impurity models that are similarto the overscreened multi-channel Kondo models with the difference that an oddnumber of electron species screen the impurity. The simplest of them, namedsesqui-channel (i.e. one-and-a-half-channel) Kondo (1.5CK) model, has lessdegrees of freedom and is simpler than the two-channel Kondo model, and yet itexhibits NFL physics. Using representation theory I derive the 1.5CK model fora spin-half impurity surrounded with electrons in cubic crystal field and solveit with the numerical renormalization group.

One-and-a-half-channel Kondo model and its family of non-Fermi liquids