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Spinon and η-spinon correlation functions of the Hubbard chain

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Abstract

We calculate real-space static correlation functions of spin and charge degrees of freedom of the one-dimensional Hubbard model that are described by operators related to singly occupied sites with spin up or spin down (spinons) and unoccupied or doubly occupied sites (η-spinons). The spatial decay of their correlation functions is determined using density matrix renormalization group results. The nature and spatial extent of the correlations between two sites on the Hubbard chain is studied using the eigenstates and eigenvalues of the two-site reduced density matrix. The results show that the spinon-spinon correlation functions decay algebraically and the η-spinon correlation functions decay exponentially, both in the half-filling and metallic phases. The results provide evidence that these degrees of freedom are organized in boundstates in the interacting system.

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Authors and Affiliations

  1. Centro de Física das Interacções Fundamentais, Instituto Superior Técnico, TU Lisbon, Av. Rovisco Pais, 1049-001, Lisboa, Portugal

    P. D. Sacramento

  2. Beijing Computational Science Research Center, Beijing, 100084, P.R. China

    P. D. Sacramento, Y. C. Li & J.. M. P. Carmelo

  3. Department of Physics and Institute of Theoretical Physics, The Chinese University of Hong Kong, Hong Kong, P.R. China

    S. J. Gu

  4. Centre and Department of Physics, University of Minho, Campus Gualtar, 4710-057, Braga, Portugal

    J.. M. P. Carmelo

  5. Institut für Theoretische Physik III, Universität Stuttgart, 70550, Stuttgart, Germany

    J.. M. P. Carmelo

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  1. P. D. Sacramento
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  2. Y. C. Li
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Correspondence to P. D. Sacramento.

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Sacramento, P.D., Li, Y.C., Gu, S.J. et al. Spinon and η-spinon correlation functions of the Hubbard chain. Eur. Phys. J. B 86, 507 (2013). https://doi.org/10.1140/epjb/e2013-40684-y

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