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Using an exact numerical solution and semiclassical analysis, we investigate quantum oscillations (QOs) in a model of a bilayer system with an anisotropic (elliptical) electron pocket in each plane. Key features of QO experiments in the high temperature superconducting cuprate YBCO can be reproduced by such a model, in particular the pattern of oscillation frequencies (which reflect magnetic breakdown between the two pockets) and the polar and azimuthal angular dependence of the oscillation amplitudes. However, the requisite magnetic breakdown is possible only under the assumption that the horizontal mirror plane symmetry is spontaneously broken and that the bilayer tunneling, $t_perp$, is substantially renormalized from its `bare value. Under the assumption that $t_perp= tilde{Z}t_perp^{(0)}$, where $tilde{Z}$ is a measure of the quasiparticle weight, this suggests that $tilde{Z} lesssim 1/20$. Detailed comparisons with new YBa$_2$Cu$_3$O$_{6.58}$ QO data, taken over a very broad range of magnetic field, confirm specific predictions made by the breakdown scenario.
The phase diagram of cuprate high-temperature superconductors features an enigmatic pseudogap region that is characterized by a partial suppression of low energy electronic excitations. Polarized neutron diffraction, Nernst effect, THz polarimetery a
Polarized and unpolarized neutron diffraction has been used to search for magnetic order in YBa$_2$Cu$_3$O$_{6+x}$ superconductors. Most of the measurements were made on a high quality crystal of YBa$_2$Cu$_3$O$_{6.6}$. It is shown that this crystal
Each unit cell in YBa$_2$Cu$_3$O$_{6+x}$ contains a pair of two-dimensional CuO$_2$ layers. While the crystal structure is globally inversion symmetric, the individual layers are not. This leads, necessarily, to a nonvanishing Rashba spin-orbit coupl
We report a spectral ellipsometry study of multilayers composed of superconducting YBa$_2$Cu$_3$O$_{6+delta}$ (YBCO) and ferromagnetic La$_{0.7}$Ca$_{0.3}$MnO$_3$ in the spectral range of 0.7 - 6.5 eV. With increasing YBCO sublayer thickness, the opt
We present local optical measurements of thermal diffusivity in the $ab$ plane of underdoped YBCO crystals. We find that the diffusivity anisotropy is comparable to reported values of the electrical resistivity anisotropy, suggesting that the anisotr