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One-dimensional electron gas interacting with a Heisenberg spin-1/2 chain

1999/09/30 by Oron Zachar, A. M. Tsvelik, Alexei M. Tsvelik · 2 citations
Materials Science · Mathematics · Physics and Astronomy · #Antibonding molecular orbital #Antiferromagnetism #Atomic orbital #Condensed matter physics #Electron #Extrapolation #Gapless playback #Heisenberg model #Mathematics #Organic and Molecular Conductors Research #Pairing #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Singlet state #Spin (aerodynamics) #Superconductivity #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.64.033103

published as Phys. Rev. B 64,033103 (2001) · 4 pages

arxiv created 2001/05/03 · openalex publication_date 2001/06/27 · arxiv updated 2016/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We analyze a model of a one-dimensional electron-gas interacting with an antiferromagnetic Heisenberg spin-1/2 chain via the spin-exchange interactions. Using a solution at a special limit, we characterize the gapless modes of the spin-gap fixed point at weak coupling JK\ensuremath≪JH,EF. We show that the only gapless pairing mode with divergent susceptibility is a composite odd-parity/odd-frequency singlet-pairing order parameter, while the ordinary BCS even-parity singlet-pairing mode is incoherent. For two-leg ladder systems, we note that it is possible to have a range of doping where the chemical potential cuts only the antibonding band while the bonding band remains half filled. We propose that in such a state the two-leg ladder is effectively realizing the one-dimensional Kondo-Heisenberg model.

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