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Recently, a strongly enhanced xy anisotropy of magnetic excitations wasobserved in YBa_2Cu_3O_y (YBCO_y) with y=6.45 and Tc=35 K [Science 319, 597(2008)]. Unlike the observation in YBCO_6.6 and YBCO_6.85, the anisotropy growsto be pronounced at lower temperature and at lower energy, and is notsuppressed by the onset of superconductivity. We propose that the effect ofsinglet pairing is substantially reduced in YBCO_6.45. This reductionconcomitantly enhances an order competing with singlet pairing, a strongtendency of the so-called d-wave Pomeranchuk instability, leading to themagnetic excitations observed experimentally.

Theory of reduced singlet pairing without the underlying state of charge stripes in the high-temperature superconductor YBa_2Cu_3O_6.45