Anomalous behaviors of the charge and spin degrees of freedom in the CuO double chains of PrBa${}_2$Cu${}_4$O${}_8$

Abstract

The density-matrix renormalization-group method is used to study the electronic states of a two-chain Hubbard model for CuO double chains of PrBa${}_2$Cu${}_4$O${}_8$. We show that the model at quarter filling has the charge ordered phases with stripe-type and in-line--type patterns in the parameter space, and in-between, there appears a wide region of vanishing charge gap; the latter phase is characteristic of either Tomonaga-Luttinger liquid or a metallic state with a spin gap. We argue that the low-energy electronic state of the CuO double chains of PrBa${}_2$Cu${}_4$O${}_8$ should be in the metallic state with a possibly small spin gap.

arXiv commentREVTEX 4, 10 pages, 9 figures; submitted to PRB

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• Phase diagram of the one-dimensional Hubbard model with next-nearest-neighbor hopping
• Ring Exchange Mechanism for Triplet Superconductivity in a Two-Chain Hubbard Model: Possible Relevance to Bechgaard Salts
• Charge Fluctuations in Geometrically Frustrated Charge Ordering System
• Phase Diagram of the $t$--$U$--$V_1$--$V_2$ Model at Quarter Filling
• Density-matrix renormalization study of the frustrated fermions on the triangular lattice
• Spiral charge frustration in molecular conductor (DI-DCNQI)2Ag