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Two-Hole Dynamics in Spin Ladders

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Abstract

We present an analytic theory for the energy spectrum of a two-leg spin ladder doped with two holes. Starting from a pseudo-fermion-bond-boson representation of the corresponding t 1,2 −J 1,2 Hamiltonian we apply a diagrammtic approach adapted to the limit of strong rung coupling, which includes both, the coupling of holes to the spin background as well as the two-hole interactions. The two-hole spectrum is calculated and the formation of bound states is discussed. Additionally the evolution of the spin gap of the ladder upon doping is analyzed. A comparison with existing exact diagonalization data is presented and good agreement is found.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Technische Universität Braunschweig, 38106, Braunschweig, Germany

    Christoph Jurecka & Wolfram Brenig

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  1. Christoph Jurecka
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  2. Wolfram Brenig
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Correspondence to Wolfram Brenig.

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Jurecka, C., Brenig, W. Two-Hole Dynamics in Spin Ladders. Journal of Low Temperature Physics 126, 1165–1183 (2002). https://doi.org/10.1023/A:1013875531765

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