Spin susceptibility of underdoped cuprates the case of Ortho-II YBa_2Cu_3O_{6.5}.pdf

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Spin susceptibility of underdoped cuprates the case of Ortho-II YBa_2Cu_3O_{6.5}.pdf

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Spin susceptibility of underdoped cuprates the case of Ortho-II YBa_2Cu_3O_{6.5}

a r X i v : c o n d - m a t / 0 5 1 1 6 6 1 v 1 [ c o n d - m a t .s t r - e l ] 2 8 N o v 2 0 0 5 Spin susceptibility of underdoped cuprates: the case of Ortho-II YBa2Cu3O6.5 E. Bascones1,2, T. M. Rice2 1Instituto de Ciencia de Materiales de Madrid, CSIC,Cantoblanco, E-28049 Madrid, Spain 2Theoretische Physik, ETH-Ho?nggerberg, CH-8050 Zurich, Switzerland ? (Dated: February 2, 2008) Recent inelastic neutron scattering measurements found that the spin susceptibility of detwinned and highly ordered ortho-II YBa2Cu306.5 exhibits, in both the normal and superconducting states, one-dimensional incommensurate modulations at low energies which were interpreted as a signature of dynamic stripes. We propose an alternative model based on quasiparticle transitions between the arcs of a truncated Fermi surface. Such transitions are resonantly enhanced by scattering to the triplet spin resonance. We show that the anisotropy in the experimental spin response is consistent with this model if the gap at the saddle points is anisotropic. PACS numbers: 74.72-h,75.25+z,76.50+g Recent experiments1,2,3 have addressed the magnetic spectrum in detwinned and highly ordered ortho-II Y Ba2Cu3O6.5 4 which has an average doping per planar Cu x ～ 0.09 and Tc ～ 60 K. The ortho-II phase is charac- terized by a periodic alternation of filled and empty Cu- O b-axis chains, doubling the size of the unit cell in the a direction5. The oxygen ordering reduces the disorder making it an ideal candidate for the study of the magnetic properties at underdoping. The magnetic response shows a resonance2 at 33 meV at Q = (π, π) and a ring-like high energy branch dispersing upwards3. At lower en- ergies, there is inelastic scattering from one-dimensional modulations at incommensurate wavevectors stretching down to zero energy but without elastic or quasielastic peaks. On entering the superconducting state, the scat- tering at energies less than 16 meV is suppressed, but not eliminated. In this strongly