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One-dimensional electron system with attractive interaction in a magnetic field

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The phase transition with respect to a magnetic field from a nonmagnetic (h < Δ) to a paramagnetic (h > Δ) state at zero temperature in a one-dimensional electron system with attractive interaction is studied. An exact solution of the Luther-Emery model for a particular value of the coupling constant U‖=−6πVF/5 is used. The transition shows up as the appearance of a gapless mode in the spin-excitation spectrum at the critical field hc=Δ, where Δ is the gap in the spectrum in zero field. The behavior of various correlation functions and the low-temperature anomalies of the thermodynamic quantities are calculated. Some questions related to a quantitative description of the transition in the Luther-Emery model for U‖≠−6πVF/5, and also in other models, are discussed.

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Authors and Affiliations

  1. Institute of Physics, Academy of Sciences of the Georgian SSR, Tbilisi, USSR

    G. I. Japaridze & A. A. Nersesyan

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  1. G. I. Japaridze
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  2. A. A. Nersesyan
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Japaridze, G.I., Nersesyan, A.A. One-dimensional electron system with attractive interaction in a magnetic field. J Low Temp Phys 37, 95–110 (1979). https://doi.org/10.1007/BF00114059

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  • DOI: https://doi.org/10.1007/BF00114059

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