Proximity Effects and Quantum Dissipation in the Chains of YBa${}_2$Cu${}_3$O$_{6+x}

Abstract

We argue that the results of recent scanning tunneling microscopy, angle-resolved photoemission and infrared spectroscopy experiments on the CuO chains of YBa${}_2$Cu${}_3$O${}_{6+x}$ are consistently explained within a proximity model by the interplay of a coherent chain-plane and an incoherent interchain coupling. We show that the CuO${}_2$ planes act as an ohmic heat bath for the electronic degrees of freedom in the chains which induces a substantial quantum dissipation. Below the planar $T_c$, charge excitations in the chains acquire a universal superconducting gap whose phase and magnitude are momentum dependent. We predict that the magnitude of this gap varies non-monotonically with the hole concentration in the chains.

5 pages, 4 figures

References in corpus (2)

• One-dimensional nature of the magnetic fluctuations in YBa${}_2$Cu${}_3$O${}_{6.6}$
• Superconducting Gap and Strong In-Plane Anisotropy in Untwinned YBa2Cu3O7-d

Cited by in corpus (9)

• Oxygen superstructures throughout the phase diagram of $(\mathbf{Y},\mathbf{Ca})\mathbf{B}{\mathbf{a}}_2\mathbf{C}{\mathbf{u}}_3{\mathbf{O}}_{6+\mathbf{x}}$
• Coherence and superconductivity in coupled one-dimensional chains: a case study of YBa${}_2$Cu${}_3$O${}_y$
• Tunneling Spectroscopy on c-axis Y{1-x}Ca{x}Ba2Cu3O{7-delta} Thin Films
• Theory of (001) surface and bulk states in Y${}_{1-y}$Ca${}_y$Ba${}_2$Cu${}_3$O${}_{7-\delta }$}
• Excitation of a bosonic mode by electron tunneling into a cuprate superconductor
• Fermi-surface induced modulation in an optimally doped YBCO superconductor
• Magnetic correlations on the full chains of Ortho-II YBa${}_2$Cu${}_3$O${}_{6.5}$
• Phase diagram of the $Cu{O}_3$ chains in $YB{a}_{2}C{u}_3{O}_{6+X}$ and $PrB{a}_{2}C{u}_3{O}_{6+X}$
• Coexistence of superconductivity and incoherence in quasi 1D chains