Magnetic field induced charge and spin instabilities in cuprate superconductors

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). On the basis of 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 around its equilibrium position. 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.

arXiv comment4 pages REVTeX + 2 PostScript figures included in text. Version to appear in PRL (minor stylistic changes, references updated). For related work and info visit http://www.physics.ubc.ca/~franz

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• Quasiparticle Scattering Interference in High Temperature Superconductors
• SO(5) Theory of Antiferromagnetism and Superconductivity
• Evidence for unusual superconducting correlations coexisting with stripe order in La(1.875)Ba(0.125)CuO(4)
• QED3 theory of underdoped high temperature superconductors
• Putting competing orders in their place near the Mott transition
• Shiba impurity bound states as a probe of topological superconductivity and Fermion parity changing quantum phase transitions
• Disorder-Induced Static Antiferromagnetism in Cuprate Superconductors
• Chiral Mott Insulators, Meissner Effect, and Laughlin States in Quantum Ladders
• Evidence for an incommensurate magnetic resonance in La(2-x)Sr(x)CuO(4)
• Vortex Charges in High Temperature Superconductors
• Competition of Superconductivity and Antiferromagnetism in a d-Wave Vortex Lattice
• Electronic specific heat and low energy quasiparticle excitations in superconducting state of $L{a}_{2-x}S{r}_{x}Cu{O}_4$ single crystals
• Magnetic-Field-Induced Localization of Quasiparticles in Underdoped La${}_{2-x}$Sr${}_x$CuO${}_4$ Single Crystals
• Effect of gauge boson mass on chiral symmetry breaking in QED${}_3$
• Excitonic pairing between nodal fermions
• Competing orders in thermally fluctuating superconductors in two dimensions
• Large magnetic field-induced spectral weight enhancement of high-energy spin excitations in $L{a}_{1.88}S{r}_{0.12}Cu{O}_4$
• Antiferromagnetism and charged vortices in high-Tc superconductors
• Dirac-Bogoliubov-deGennes quasiparticles in a vortex lattice
• High-Resolution Scanning Tunneling Spectroscopy of Vortex Cores in Inhomogeneous Electronic States of Bi2Sr2CaCu2Ox
• Checkerboard local density of states in striped domains pinned by vortices
• Erratum: Nodal Cooper-pair stabilized phase dynamics in granular d-wave superconductors
• Absence of magnetic field effect on static magnetic order in electron-doped superconductor Nd_{1.86}Ce_{0.14}CuO_4
• Spin collective mode and quasiparticle contributions to STM spectra of d-wave superconductors with pinning
• Charge Ordered RVB States in the Doped Cuprates
• Coexistence of bulk antiferromagnetic order and superconductivity in the QED3 theory of copper oxides
• Competition between spin ordering and superconductivity near the pseudogap boundary in La2-xSrxCuO4: insights from NMR
• Quasiparticle structure in antiferromagnetism around the vortex and nuclear magnetic relaxation time
• Excitations in correlated superfluids near a continuous transition into a supersolid
• Detecting the quantum zero-point motion of vortices in the cuprate superconductors
• Field-Induced Uniform Antiferromagnetic Order Associated with Superconductivity in Pr${}_{1-x}$LaCe${}_x$CuO${}_{4-\delta }$
• Temperature dependence of Vortex Charges in High Temperature Superconductors
• Effects of disorder on the vortex charge
• Charge Modulations in the Superconducting State of the Cuprates
• Signature of Spin Collective Mode in Local Tunneling Spectra of a d-wave Superconductor
• Intertwined Orders and Electronic Structure in Superconducting Vortex Halos
• Studying angle-dependent magnetoresistance oscillations of cuprate superconductors in a model with antiferromagnetic reconstruction and magnetic breakdown
• Remarkable change of tunneling conductance in YBCO films in fields up to 32.4T
• Quasiparticle heat transport in the mixed state of high $T_c$ superconductors
• Local enhancement of spin and orbital antiferromagnetism around a single vortex in high-Tc superconductors
• Striped morphologies induced by magnetic impurities in d-wave superconductors