Electronic States and Superconducting Transition Temperature based on the Tomonaga-Luttinger liquid in Pr${}_2$Ba${}_4$Cu${}_7$O${}_{15-\delta }$

Abstract

An NQR experiment revealed superconductivity of Pr${}_2$Ba${}_4$Cu${}_7$O${}_{15-\delta }$ (Pr247) to be realized on CuO double chain layers and suggests possibility of novel one-dimensional(1D) superconductivity. To clarify the nature of the 1D superconductivity, we calculate the band dispersions of Pr247 by using the generalized gradient approximation(GGA). It indicates that Fermi surface of CuO double chains is well described to the electronic structure of a quasi-1D system. Assuming the zigzag Hubbard chain model to be an effective model of the system, we derive tight binding parameters of the model from a fit to the result of GGA. Based on the Tomonaga-Luttinger liquid theory, we estimate transition temperature ($T_c$) of the quasi-1D zigzag Hubbard model from the calculated value of the Luttinger liquid parameter $K_{\rho }$. The result of $T_c$ is consistent with that of experiments in Pr247 and it suggests that the mechanism of the superconductivity is well understood within the concept of the Tomonaga-Luttinger liquid.

4 pages, 5 figures

References in corpus (6)

• Superconductivity in Pr2Ba4Cu7O15-delta with metallic double chains
• Superconductivity due to spin fluctuations originating from multiple Fermi surfaces in a double chain superconductor Pr${}_2$Ba${}_4$Cu${}_7$O${}_{15-\delta }$}
• Superconductivity in the CuO double chain of Pr_2Ba_4Cu_7O_15-delta on the basis of Tomonaga-Luttinger liquid theory
• Phase diagram of the one-dimensional Hubbard model with next-nearest-neighbor hopping
• Superconductivity in zigzag CuO chains
• Filling-dependence of the zigzag Hubbard ladder for a quasi-one-dimensional superconductor Pr_2Ba_4Cu_7O_{15-delta}

Cited by in corpus (4)

• Effect of pressure on magneto-transport properties in the superconducting and normal phases of the metallic double chain compound Pr${}_2$Ba${}_4$Cu${}_7$O${}_{15-\delta }$
• Ground-State Properties of the $t$-$J$ Model for the CuO Double-Chain Structure
• Radiative Higgs mode in photoinduced $\eta$ pairs
• Theoretical analysis of the origin of the double-well band dispersion in the CuO double chains of Pr${}_2$Ba${}_4$Cu${}_7$O${}_{15-\delta }$ and its impact on superconductivity