Solution of an orbital Kondo array

We introduce a solvable model of a one-dimensional electron gas interacting with an array of dynamical scattering centers, whose state is specified by a pseudospin variable. In the dilute limit, for frequencies ω and temperatures T below the single-center Kondo scale but above a coherence scale Δ, the physics is governed by the fixed point of the single-impurity two-channel Kondo problem, and the physical properties are reminiscent of the normal state of the high-temperature superconductors. As ω and T→0, three susceptibilities are equally divergent: (1) conventional, spin-singlet even-parity pairing, (2) composite spin-singlet odd-parity pairing, and (3) odd-parity pseudospin.