Dichotomy in underdoped high $T_c$ superconductors and spinon-dopon approach to $t$-$t'$-$t''$-$J$ model

dc.creatorRan, Ying
dc.creatorWen, Xiao-Gang
dc.date2006-11-02
dc.date.accessioned2026-07-07T07:31:10Z
dc.date.available2026-07-07T07:31:10Z
dc.descriptionWe studied underdoped high $T_c$ superconductors using a spinon-dopon approach (or doped-carrier approach) to $t$-$t'$-$t''$-$J$ model, where spinon carries spin and dopon carries both spin and charge. In this approach, the mixing of spinon and dopon describes superconductivity. We found that a nonuniform mixing in $k$-space is most effective in lowering the $t'$ and $t''$ hopping energy. We showed that at mean-field level, the mixing is proportional to quasiparticle spectral weight $Z_-$. We also found a simple monte-carlo algorithm to calculate $Z_{-}$ from the projected spinon-dopon wavefunction, which confirms the mean-field result. Thus the non-uniform mixing caused by $t'$ and $t"$ explains the different electron spectral weights near the nodal and anti-nodal points ({\it i.e.} the dichotomy) observed in underdoped high $T_c$ superconductors. For hole-doped sample, we found that $Z$ is enhanced in the nodal region and suppressed in the anti-nodal region. For electron doped sample, the same approach leads to a suppressed $Z$ in the nodal region and enhanced in the anti-nodal region, in agreement with experimental observations.
dc.description19 pages, 18 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0611034
dc.identifierhttp://arxiv.org/abs/cond-mat/0611034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118656
dc.subjectStrongly Correlated Electrons
dc.subjectSuperconductivity
dc.titleDichotomy in underdoped high $T_c$ superconductors and spinon-dopon approach to $t$-$t'$-$t''$-$J$ model
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