A [Formula presented]-wave superconductor, subject to strong phase fluctuations, is known to suffer an antiferromagnetic instability closely related to the chiral symmetry breaking in ([Formula presented])-dimensional quantum electrodynamics ([Formula presented]). Based on this idea we formulate a “ [Formula presented] in a box” theory of local instabilities of a [Formula presented]-wave superconductor in the vicinity of a single pinned vortex undergoing quantum fluctuations. As a generic outcome we find an incommensurate 2D spin density wave forming in the neighborhood of a vortex with a concomitant “checkerboard” pattern in the local electronic density of states, in agreement with recent neutron scattering and tunneling spectroscopy measurements. © 2002 The American Physical Society.
Publication Source (Journal or Book title)
Physical Review Letters
Franz, M., Sheehy, D., & Tešanović, Z. (2002). Magnetic Field Induced Charge and Spin Instabilities in Cuprate Superconductors. Physical Review Letters, 88 (25), 4. https://doi.org/10.1103/PhysRevLett.88.257005