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23 April 2024
 
  » arxiv » cond-mat/9405045

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Spin Gaps in Coupled t-J Ladders
D. Poilblanc ; H. Tsunetsugu ; T.M. Rice ;
Date 16 May 1994
Subject cond-mat
AbstractSpin gaps in coupled $t$-$J$ ladders are investigated by exact diagonalization of small clusters up to 4$ imes$8 sites. At half-filling, the numerical results for the triplet excitation spectrum are in very good agreement with a second order perturbation expansion in term of small inter-ladder and intra-ladder exchange couplings between rungs ($J/J^prime$$<$$0.25$). The band of local triplet excitations moving coherently along the ladder (with momenta close to $pi$) is split by the inter-ladder coupling. For intermediate couplings finite size scaling is used to estimate the spin gap. In the isotropic infinite 4-chain system (two coupled ladders) we find a spin gap of $0.245 J$, roughly half of the single ladder spin gap. When the system is hole doped, bonding and anti-bonding bound pairs of holes can propagate coherently along the chains and the spin gap remains finite.
Source arXiv, cond-mat/9405045
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