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

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.

Proximity Effects and Quantum Dissipation in the Chains of YBa $_{2}$ Cu $_{3}$ O$_{6+x}

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Proximity Effects and Quantum Dissipation in the Chains of YBa $_{2}$ Cu $_{3}$ O$_{6+x}

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Proximity Effects and Quantum Dissipation in the Chains of YBa22​Cu33​O$_{6+x}

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Proximity Effects and Quantum Dissipation in the Chains of YBa22​Cu33​O$_{6+x}

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Proximity Effects and Quantum Dissipation in the Chains of YBa $_{2}$ Cu $_{3}$ O$_{6+x}

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Proximity Effects and Quantum Dissipation in the Chains of YBa $_{2}$ Cu $_{3}$ O$_{6+x}

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