Although structurally the high temperature superconductors are quasi-two-dimensional, there is both theoretical and experimental evidence of a substantial range of temperatures in which 'stripe' correlations make the electronic structure locally quasi-one-dimensional. We consider an array of Josephson coupled, spin gapped one dimensional electron gases as a model of the high temperature superconductors. For temperatures above Tc, this system exhibits electron fractionalization, yielding a single particle spectral response which is sharp as a function of momentum, but broad as a function of energy. For temperatures below the spin gap but above Tc, there are enhanced one-dimensional superconducting fluctuations and pseudogap phenomena. Pair tunneling induces a crossover to three-dimensional physics as Tc is approached. Below Tc, solitons are confined in multiplets with quantum numbers which are simply related to the electron, and a coherent piece of the single particle spectral function appears. The weight of this coherent piece vanishes in the neighborhood of Tc in proportion to a positive power of the interchain superfluid density. This behavior is highly reminiscent of recent ARPES measurements on the high temperature superconductors.
|Original language||American English|
|Number of pages||6|
|Journal||Journal of Physics and Chemistry of Solids|
|State||Published - Dec 2002|
|Event||SNS 2001 - Chicago, IL, United States|
Duration: 13 May 2001 → 17 May 2002
Bibliographical noteFunding Information:
It is a pleasure to acknowledge extensive discussions with Z. X. Shen and X. Zhou, and many stimulating discussions with P. Johnson, J. Tranquada, E. Fradkin, L. Pryadko, M. Granath, A. Lanzara, T. Valla, P. B. Weigmann, A. Tsvelik, O. Zachar, and C. Nayak. This work was supported in part by NSF grant No. DMR-97-12765 and the Office of the Provost at Boston University (EWC), the Rothschild Foundation (DO), NSF grant No. DMR 98-14289 (SAK), and DOE grant No. DE-AC02-98CH10886 (VJE).
- D. Superconductivity
- Non-Fermi liquid