On the Bilayer Coupling in the Yttrium-Barium Family of High Temperature Superconductors

Abstract

We derive the expressions needed to interpret experiments relating to interplane magnetic coupling in YBa${}_2$Cu${}_3$O${}_{6+x}$ and related materials, and use the results to interpret measurements of the optical magnon energy in YBa_{2}Cu_{3}O_{6.2} and of the NMR ``cross-relaxation" rate in Y_2Ba_{4}Cu_{7}O_{15}. We estimate $J_{\perp }\sim 14$ meV in both materials, and ${\chi }_{max}/{\mu }_B^2\sim 100$ {states}/{eV}-Cu in Y_2Ba_4Cu_7O_{15} at T=100K. We show that there is at present no obvious contradiction between the results of a widely-used analysis of NMR experiments and the results of neutron scattering experiments in the Y-Ba system. We argue that the 41 meV excitation observed in superconducting YBa_{2}Cu_{3}O_{7} is a collective mode pulled down below the superconducting gap by interactions, and that the observed antisymmetry under interchange of planes follows from the non-negligible value of $J_{\perp }$.

Minor revisions to satisfy Physical Review referee

References in corpus (10)

• Spin Gaps and Spin Dynamics in La_{2-x}Sr_xCuO_4 and YBa_2Cu_3O7_δ
• Magnetic scaling in cuprate superconductors
• Theory of the Resonant Neutron Scattering of High $T_c$ Superconductors
• Theory of Neutron Scattering in the Normal and Superconducting State of YBCO
• NMR and Neutron Scattering Experiments on the Cuprate Superconductors: A Critical Re-Examination
• Neutron scattering and superconducting order parameter in YBa2Cu3O7
• Spin Gaps and Bilayer Coupling in YBa${}_2$Cu${}_3$O${}_{7-\delta }$ and YBa${}_2$Cu${}_4$O${}_8$
• Theory of the Spin Gap in High Temperature Superconductors
• Cross relaxation and the bilayer coupling in YBCO
• Spin Dynamics in the Normal State of High T_c Superconductors

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