Superconductivity and Spin gap in the zigzag chain t-J model simulating a CuO double chain in Pr_2Ba_4Cu_7O_15-delta

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dc.creatorSano, azuhiro
dc.creatorOno, Yoshiaki
dc.date2007-09-08
dc.date.accessioned2026-07-07T08:28:24Z
dc.date.available2026-07-07T08:28:24Z
dc.descriptionUsing the numerical diagonalization method, we examine the one-dimensional t_1-t_2-J_1-J_2 model (zigzag chain t-J model) which represents an effective model for metallic CuO double chain in the superconductor Pr_2Ba_4Cu_7O_15-δ. Based on the Tomonaga-Luttinger liquid theory, we calculate the Luttinger-liquid parameter K_ρas a function of electron density n. It is found that superconductivity is realized in parameter region corresponding to the experimental result. We show phase diagram of spin gap on the t_2/|t_1|-n plane by analyzing the expectation value of twist-operator Z_σin the spin sector. The spin gap appears in the region with large t_2/|t_1|, where the phase boundary at half-filling is consistent with that of the known frustrated quantum spin system. The analysis also suggests that the estimated value of the spin gap reaches 100K in the realistic parameter region of Pr_2Ba_4Cu_7O_15-delta.
dc.description5 pages with 6 figures, uses jpsj.sty. to be published Journal of the Physical Society of Japan Vol.76 No.11
dc.identifierhttps://arxiv.org/abs/0709.1206
dc.identifierhttp://arxiv.org/abs/0709.1206
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137604
dc.subjectSuperconductivity
dc.subjectStrongly Correlated Electrons
dc.titleSuperconductivity and Spin gap in the zigzag chain t-J model simulating a CuO double chain in Pr_2Ba_4Cu_7O_15-delta
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