Reflections on the one-dimensional realization of odd-frequency pairing

Abstract

We discuss the odd-frequency pairing correlations discovered by Zachar, Kivelson and Emery (ZKE) in a one-dimensional Kondo lattice. A specific lattice model that realizes the continuum theory of ZKE is introduced and the correlations it gives rise to are identified as odd-frequency singlet pairing. The excitation spectrum is found to contain a spin gap, and a much lower energy band of spinless excitations. We discuss how the power-law correlations realized in the ZKE model evolve into true long-range order when Kondo chains are weakly coupled together and tentatively suggest a way in which the higher-dimensional model can be treated using mean-field theory. This paper was presented at the Institute of Theoretical Physics Conference on Non-Fermi Liquid Behaviour In Metals (Santa Barbara, CA, 17-21 June 1996). Other papers from this Conference were published in: 1996 J. Phys.: Condens. Matter 8 9675-10148