Magnetic Field Induced Charge and Spin Instabilities in Cuprate Superconductors

M. Franz; D. E. Sheehy; Z. Tešanović

doi:10.1103/PhysRevLett.88.257005

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Magnetic Field Induced Charge and Spin Instabilities in Cuprate Superconductors

M. Franz, D. E. Sheehy, Z. Tešanović

DOI 10.1103/PhysRevLett.88.257005 · Physical Review Letters

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Abstract

A d-wave superconductor, subject to strong phase fluctuations, is known to suffer an antiferromagnetic instability closely related to the chiral symmetry breaking in ( 2+1)-dimensional quantum electrodynamics ( QED3). Based on this idea we formulate a “ QED3 in a box” theory of local instabilities of a d-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.