Abstract
We compute the single-particle spectral density, susceptibility near the Kohn anomaly, and pair propagator for a one-dimensional interacting-electron gas. With an attractive interaction, the pair propagator is divergent in the zero-temperature limit and the Kohn singularity is removed. For repulsive interactions, the Kohn singularity is stronger than the free-particle case and the pair propagator is finite. The low-temperature behavior of the interacting system is not consistent with the usual Ginzburg-Landau functional because the frequency, temperature, and momentum dependences are characterized by power-law behavior with the exponent dependent on the interaction strength. Similarly, the enrgy dependence of the single-particle spectral density obeys a power law whose exponent depends on the interaction and exhibits no quasiparticle character. Our calculations are exact for the Luttinger or Tomonage model of the one-dimensional interacting system.
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© 1975 Springer-Verlag
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Luther, A., Peschel, I. (1975). Single-particle states, Kohn anomaly, and pairing fluctuations in one dimension. In: Schuster, H.G. (eds) One-Dimensional Conductors. Lecture Notes in Physics, vol 34. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0113395
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DOI: https://doi.org/10.1007/BFb0113395
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07024-5
Online ISBN: 978-3-540-37312-4
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