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Properties of an orbital Kondo array

V. J. Emery, Steven A. Kivelson

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Abstract

We consider 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 w and temperatures T below the single-center Kondo scale but above a coherence scale {delta}, the physics is governed by the fixed point of the single-impurity two-channel Kondo problem. In that region, the physical properties are governed by composite (or odd-frequency) pairing fluctuations and they are reminiscent of the normal state of high temperature superconductors. As {omega} and T {yields} 0, three susceptibilities are equally divergent: (1) conventional, spin-singlet even-parity pairing (2) composite spin-singlet odd-parity 77-pairing and (3) odd parity pseudospin.

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We consider 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 w and temperatures T below the single-center Kondo scale but above a coherence scale {delta}, the physics is governed by the fixed point of the single-impurity two-channel Kondo problem. In that region, the physical properties are governed by composite (or odd-frequency) pairing fluctuations and they are reminiscent of the normal state of high temperature superconductors. As {omega} and T {yields} 0, three susceptibilities are equally divergent: (1) conventional, spin-singlet even-parity pairing (2) composite spin-singlet odd-parity 77-pairing and (3) odd parity pseudospin.

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Available abstract

We consider 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 w and temperatures T below the single-center Kondo scale but above a coherence scale {delta}, the physics is governed by the fixed point of the single-impurity two-channel Kondo problem. In that region, the physical properties are governed by composite (or odd-frequency) pairing fluctuations and they are reminiscent of the normal state of high temperature superconductors. As {omega} and T {yields} 0, three susceptibilities are equally divergent: (1) conventional, spin-singlet even-parity pairing (2) composite spin-singlet odd-parity 77-pairing and (3) odd parity pseudospin.

Key concepts: Pairing, Physics, Condensed matter physics, Singlet state, Parity (physics), Superconductivity, Kondo effect, Quantum mechanics

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