Physics – Condensed Matter – Superconductivity
Scientific paper
2000-01-24
Phys. Rev. B 62, 8703 (2000).
Physics
Condensed Matter
Superconductivity
4 pages including 3 eps-figures - minor changes and one reference added. Accepted for publication in Phys. Rev. B
Scientific paper
10.1103/PhysRevB.62.8703
The magnetic resonance at 41 meV observed in neutron scattering studies of Y Ba_2 Cu_3 O_7 holds a key position in the understanding of high-T_c superconductivity. Within the SO(5) model for superconductivity and antiferromagnetism, we have calculated the effect of an applied magnetic field on the neutron scattering cross-section of the magnetic resonance. In the presence of vortices, the neutron scattering cross-section shows clear signatures of not only the fluctuations in the superconducting order parameter \psi, but also the modulation of the phase of \psi due to vortices. In reciprocal space we find that i) the scattering amplitude is zero at (pi/a,pi/a), ii) the resonance peak is split into a ring with radius pi/d centered at (pi/a,pi/a), d being the vortex lattice constant, and consequently, iii) the splitting pi/d scales with the magnetic field as sqrt{B}.
Bruus Henrik
Hedegard Per
Mortensen Niels Asger
Ronnow Henrik M.
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