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Gauge invariance and spinon-dopon confinement in the t-J model: implications for Fermi surface reconstruction in the cuprates

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Abstract

We discuss the application of the two-band spin-dopon representation of the t-J model to address the issue of the Fermi surface reconstruction observed in the cuprates. We show that the electron no double occupancy (NDO) constraint plays a key role in this formulation. In particular, the auxiliary lattice spin and itinerant dopon degrees of freedom of the spin-dopon formulation of the t-J model are shown to be confined in the emergent U(1) gauge theory generated by the NDO constraint. This constraint is enforced by the requirement of an infinitely large spin-dopon coupling. As a result, the t-J model is equivalent to a Kondo-Heisenberg lattice model of itinerant dopons and localized lattice spins at infinite Kondo coupling at all dopings. We show that mean-field treatment of the large vs. small Fermi surface crossing in the cuprates which leaves out the NDO constraint, leads to inconsistencies and it is automatically excluded form the t-J model framework.

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Authors and Affiliations

  1. Department of Experimental and Theoretical Physics, International Institute of Physics — UFRN, 59078-400, Natal, Brazil

    Alvaro Ferraz & Evgeny Kochetov

  2. Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Russia

    Evgeny Kochetov

Authors
  1. Alvaro Ferraz
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  2. Evgeny Kochetov
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Correspondence to Alvaro Ferraz.

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Ferraz, A., Kochetov, E. Gauge invariance and spinon-dopon confinement in the t-J model: implications for Fermi surface reconstruction in the cuprates. Eur. Phys. J. B 86, 512 (2013). https://doi.org/10.1140/epjb/e2013-40849-8

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  • DOI: https://doi.org/10.1140/epjb/e2013-40849-8

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