Quantum phase transition and sliding Luttinger liquid in coupled t-J chains

dc.creatorMoukouri, S.
dc.date2005-04-13
dc.date.accessioned2026-07-07T03:04:42Z
dc.date.available2026-07-07T03:04:42Z
dc.descriptionUsing a recently proposed perturbative numerical renormalization-group algorithm, we explore the connection between quantum criticality and the emergence of Luttinger liquid physics in $t-J$ chains coupled by frustrated interactions. This study is built on an earlier finding that at the maximally frustrated point, the ground state of weakly-coupled Heisenberg chains is disordered, the transverse exchanges being irrelevant. This result is extended here to transverse couplings up to $J_{\perp}=0.6$, and we argue that it may also be valid at the isotropic point. A finite size analysis of coupled Heisenberg chains in the vicinity of the maximally frustrated point confirms that the transverse spin-spin correlations decay exponentially while the longitudinal ones revert to those of decoupled chains. We find that this behavior persists upon moderate hole doping $x \alt 0.75$. For larger doping, the frustration becomes inactive and the quantum critical point is suppressed.
dc.description13 pages, 24 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0504306
dc.identifierhttp://arxiv.org/abs/cond-mat/0504306
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/26186
dc.subjectStrongly Correlated Electrons
dc.titleQuantum phase transition and sliding Luttinger liquid in coupled t-J chains
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