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Magnetic Field Induced Charge and Spin Instabilities in Cuprate Superconductors

2002; American Physical Society; Volume: 88; Issue: 25 Linguagem: Inglês

10.1103/physrevlett.88.257005

1092-0145

Marcel Franz, Daniel E. Sheehy, Zlatko Tešanović,

Quantum and electron transport phenomena

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 ( ${\mathrm{QED}}_{3}$). Based on this idea we formulate a `` ${\mathrm{QED}}_{3}$ 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.