Incommensurate Magnetism around Vortices and Impurities in High-$T_c$ Superconductors

Abstract

By solving self-consistently an effective Hamiltonian including interactions for both antiferromagnetic spin-density wave (SDW) and d-wave superconducting (DSC) orderings, a comparison study is made for the local magnetic structure around superconducting vortices and unitary impurities. To represent the optimally doped regime of cuprates, the parameter values are chosen such that the DSC is dominant while the SDW is vanishingly small. We show that when vortices are introduced into the superconductor, an oscillating SDW is induced around them. The oscillation period of the SDW is microscopically found, consistent with experiments, to be eight lattice constants ($8a_0$). The associated charge-density wave (CDW) oscillates with a period of one half ($4a_0$) of the SDW. In the case of unitary impurities, we find a SDW modulation with identical periodicity, however without an associated CDW. We propose neutron scattering experiments to test this prediction.

5 pages, 4 eps figures (color) included in the text

References in corpus (3)

• A Four-Unit-Cell Periodic Pattern of Quasiparticle States Surrounding Vortex Cores in Bi2Sr2CaCu2O8+d
• Antiferromagnetic Order Induced by an Applied Magnetic Field in a High-Temperature Superconductor
• Spins in the Vortices of a High Temperature Superconductor

Cited by in corpus (74)

• Scanning tunneling spectroscopy of high-temperature superconductors
• Lattice symmetry breaking in cuprate superconductors: Stripes, nematics, and superconductivity
• Order and quantum phase transitions in the cuprate superconductors
• Charge density wave origin of cuprate checkerboard visualized by scanning tunneling microscopy
• Evidence for unusual superconducting correlations coexisting with stripe order in La(1.875)Ba(0.125)CuO(4)
• Putting competing orders in their place near the Mott transition
• Quantum algorithms to simulate many-body physics of correlated fermions
• Disorder-Induced Static Antiferromagnetism in Cuprate Superconductors
• Disorder in a Quantum Critical Superconductor
• Antiferromagnetic Vortex Core of Tl_2Ba_2CuO_{6+x} Studied by Nuclear Magnetic Resonance
• Mean field theory of competing orders in metals with antiferromagnetic exchange interactions
• Competition of Superconductivity and Antiferromagnetism in a d-Wave Vortex Lattice
• States of Local Moment Induced by Nonmagnetic Impurities in Cuprate Superconductors
• Magnetic-Field-Induced Localization of Quasiparticles in Underdoped La${}_{2-x}$Sr${}_x$CuO${}_4$ Single Crystals
• Electronically competing phases and their magnetic field dependence in electron-doped nonsuperconducting and superconducting Pr0.88LaCe0.12CuO4
• Novel in-gap spin state in Zn-doped La_1.85Sr_0.15CuO_4
• Effect of a magnetic field on the spin- and charge-density wave order in La1.45Nd0.4Sr0.15CuO4
• Competing orders in thermally fluctuating superconductors in two dimensions
• Impurity states and cooperative magnetic order in Fe-based superconductors
• Spin dynamics in the stripe phase of the cuprates
• Disorder- and Field-Induced Antiferromagnetism in Cuprate Superconductors
• Two impurities in a d-wave superconductor:local density of states
• Electronic tuning and uniform superconductivity in CeCoIn5
• Two routes to magnetic order by disorder in underdoped cuprates
• Numerical Study of Transition to Stripe Phases in High Temperature Superconductors Under a Strong Magnetic Field
• Breakdown of universal transport in correlated d-wave superconductors
• Unconventional superconductivity protected from disorder on the kagome lattice
• NMR relaxation time around a vortex in stripe superconductors
• Origin of electronic dimers in the spin-density wave phase of Fe-based superconductors
• Hypothesis of two-dimensional stripe arrangement and its implications for the superconductivity in high-Tc cuprates
• Width-tuned magnetic order oscillation on zigzag edges of honeycomb nanoribbons
• Large magnetic field-induced spectral weight enhancement of high-energy spin excitations in $L{a}_{1.88}S{r}_{0.12}Cu{O}_4$
• Vortex structure in d-density wave scenario of pseudogap
• Antiferromagnetism and charged vortices in high-Tc superconductors
• Dirac-Bogoliubov-deGennes quasiparticles in a vortex lattice
• Theoretical study of impurity-induced magnetism in FeSe
• 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
• Supercurrents and spontaneous time-reversal symmetry breaking by nonmagnetic disorder in unconventional superconductors
• Spontaneous time-reversal symmetry breaking by disorder in superconductors
• Vortex State in Na_xCoO_2.yH_2O: p_x\pm ip_y-wave versus d_{x^2-y^2}\pm id_{xy}-wave Pairing
• Revisiting superconductivity in the extended one-band Hubbard model: pairing via spin and charge fluctuations
• Spatial Distribution of LDOS in Cuprate Superconductors With Magnetic-Field-Induced Stripe Modulation
• Spin collective mode and quasiparticle contributions to STM spectra of d-wave superconductors with pinning
• Effects of a Collective Spin Resonance Mode on the STM Spectra of D-Wave Superconductors
• Impurity-induced antiferromagnetic order in Pauli-limited nodal superconductors: application to heavy fermion CeCoIn5
• Electronic vortex structure of Fe-based superconductors: application to LiFeAs
• Competition between spin ordering and superconductivity near the pseudogap boundary in La2-xSrxCuO4: insights from NMR
• Characterizations of topological superconductors: Chern numbers, edge states and Majorana zero modes
• Quasiparticle structure in antiferromagnetism around the vortex and nuclear magnetic relaxation time
• Effects of impurities and vortices on the low-energy spin excitations in high-Tc materials
• Disorder Induced Stripes in d-Wave Superconductors
• Competing superconducting and magnetic order parameters and field-induced magnetism in electron doped Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$
• Charge Modulations in the Superconducting State of the Cuprates
• Local magnetization nucleated by non-magnetic impurities in Fe-based superconductors
• Local Density of States in a d-wave Superconductor with Stripe-Like Modulations and a Strong Impurity
• Signature of Spin Collective Mode in Local Tunneling Spectra of a d-wave Superconductor
• Magnetic fluctuations in pair density wave superconductors
• Intertwined Orders and Electronic Structure in Superconducting Vortex Halos
• Time-reversal symmetry breaking from lattice dislocations in superconductors
• Impurities near an Antiferromagnetic-Singlet Quantum Critical Point
• Field-induced inter-planar correlations in the high-temperature superconductor La1.88Sr0.12CuO4
• Magnetic field-induced soft mode in spin-gapped high-Tc superconductors
• Pinning of stripes by local structural distortions in cuprate high-Tc superconductors
• Superconducting gap symmetry from Bogoliubov quasiparticle interference analysis on {Sr}${}_2${RuO}${}_4$
• New results for the t-J model in ladders: Changes in the spin liquid state with applied magnetic field. Implications for the cuprates
• Impurity-induced sub-gap bound gap states in alkali doped iron chalcogenide superconductors
• Impurity-induced magnetic droplet in unconventional superconductors near magnetic instability: Application to Nd doped $\mathbf{CeCoI}{\mathbf{n}}_5$
• Minimal model of charge and pairing density waves in X-ray scattering experiments
• 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
• Local breaking of the spin degeneracy in the vortex states of Ising superconductors: Induced antiphase ferromagnetic order
• The magnetic field driven superconductor-metal transition in disordered hole-overdoped cuprates
• Tunable striped-patterns by lattice anisotropy and magnetic impurities in d-wave superconductors