SO(5) theory of insulating vortex cores in high-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>materials

Andersen, Brian M.; Bruus, Henrik; Hedegård, Per

doi:10.1103/physrevb.61.6298

Cited by 40 publications

(44 citation statements)

References 23 publications

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“…Evidently, Zeeman effects are much weaker and can be justifiably neglected. We conclude this subsection by a brief discussion of earlier works [32][33][34][40][41][42][43][44][45][46][47][48][49][50] on vortex magnetism, and the change in perspective that has been offered here by our analysis. It was proposed in by Sachdev 40 and Nagaosa and Lee 41 that vortex cores in the underdoped cuprates should have spin gap correlations characteristic of Mott insulators.…”

Section: ͑118͒mentioning

confidence: 99%

Competing orders in a magnetic field: Spin and charge order in the cuprate superconductors

2002

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We describe two-dimensional quantum spin fluctuations in a superconducting Abrikosov flux lattice induced by a magnetic field applied to a doped Mott insulator. Complete numerical solutions of a self-consistent large-N theory provide detailed information on the phase diagram and on the spatial structure of the dynamic spin spectrum. Our results apply to phases with and without long-range spin-density-wave order, and to the magnetic quantum critical point separating these phases. We discuss the relationship of our results to a number of recent neutron-scattering measurements on the cuprate superconductors in the presence of an applied field. We compute the pinning of static charge order by the vortex cores in the ''spin-gap'' phase where the spin order remains dynamically fluctuating, and argue that these results apply to recent scanning-tunneling-microscopy ͑STM͒ measurements. We show that, with a single typical set of values for the coupling constants, our model describes the field dependence of the elastic-neutron-scattering intensities, the absence of satellite Bragg peaks associated with the vortex lattice in existing neutron-scattering observations, and the spatial extent of charge order in STM observations. We mention implications of our theory for NMR experiments. We also present a theoretical discussion of more exotic states that can be built out of the spin-and charge-order parameters, including spin nematics and phases with ''exciton fractionalization.''

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Section: ͑118͒mentioning

confidence: 99%

Competing orders in a magnetic field: Spin and charge order in the cuprate superconductors

2002

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“…In contrast, experimentally the pseudogap in the core is found to persist into the overdoped region [4]. More recently microscopic calculations within the same model [19] revealed electronic excitations in such AF cores with behavior roughly resembling the experimental data. Quantitatively, however, these spectra exhibit asymmetric shifts in the coherence peaks (related to the fact that spin gap in the AF core is no longer tied to the Fermi level) not observed experimentally.…”

Section: Introductionmentioning

confidence: 99%

Vortex state in a doped Mott insulator

Franz

Tešanović

2001

Phys. Rev. B

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We analyze the recent vortex core spectroscopy data on cuprate superconductors and discuss what can be learned from them about the nature of the ground state in these compounds. We argue that the data are inconsistent with the assumption of a simple metallic ground state and exhibit characteristics of a doped Mott insulator. A theory of the vortex core in such a doped Mott insulator is developed based on the U(1) gauge field slave boson model. In the limit of vanishing gauge field stiffness such theory predicts two types of singly quantized vortices: an insulating "holon" vortex in the underdoped and metallic "spinon" vortex in the overdoped region of the phase diagram. We argue that the holon vortex exhibits a pseudogap excitation spectrum in its core qualitatively consistent with the existing experimental data on Bi2Sr2CaCu2O8. As a test of this theory we propose that spinon vortex with metallic core might be observed in the heavily overdoped samples.

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“…In a d-wave superconductor without AF correlations, a bound state of an isolated vortex is found at zero energy [19] due to the sign change of the order parameter on quasiparticle trajectories through the vortex core. On the other hand, solutions of the Bogoliubov-de Gennes (BdG) equations describing coexisting d-wave superconductivity and SDW order [20][21][22][23][24] show that this resonance is split by the SDW formation; that is, the system can lower the energy of the nearly bound quasiparticles by moving them below the Fermi energy. This finding is consistent with the STM experiments in the Abrikosov state of YBa 2 Cu 3 O 7−δ (YBCO) [25] and of BSCCO [26], in which split peaks were observed in the vortex cores.…”

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confidence: 99%

d-Wave superconductivity as a catalyst for antiferromagnetism in underdoped cuprates

et al. 2010

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Abstract. In underdoped high-T c cuprates, d-wave superconductivity competes with antiferromagnetism. It has generally been accepted that suppressing superconductivity leads to the nucleation of spin-density wave (SDW) order with wavevector near (π, π). We show theoretically, for a d-wave superconductor in an applied magnetic field including disorder and electronic correlations, that the creation of SDW order is in fact not simply due to suppression of superconductivity, but rather due to a correlation-induced splitting of an electronic bound state arising from the sign change of the order parameter along quasiparticle trajectories. The induced SDW order is therefore a direct consequence of the d-wave symmetry. The formation of anti-phase domain walls proves to be crucial for explaining the heretofore puzzling temperature dependence of the induced magnetism as measured by neutron diffraction.A superconductor is characterized by a Bardeen-Cooper-Schrieffer (BCS) order parameter k (R), where R is the center-of-mass coordinate of a Cooper pair of electrons with momenta (k, −k). The bulk ground state of such a system is homogeneous, but a spatial perturbation that breaks pairs, e.g. a magnetic impurity, may cause the suppression of k (R) locally. What is revealed when superconductivity is suppressed is the electronic phase in the absence of k , a normal Fermi liquid. Thus the low-energy excitations near magnetic impurities and in the vortex 4 Author to whom any correspondence should be addressed. [9,10] detected magnetic ordering as a wedge-shaped extension of the 'spin glass' phase into the SC dome of the temperature versus doping phase diagram ( figure 1(a)). Lake et al [2] reported that an incommensurate magnetic order similar to the field-induced state was also observed in zero field. Although it also vanished at T c , the ordered magnetic moment in zero field had a T dependence, which was qualitatively different from the field-induced signal. The zero-field signal was attributed to disorder, but the relation between impurities and magnetic ordering remained unclear. Because strong magnetic fluctuations with similar wavevectors are reported at low but nonzero energies in inelastic neutron scattering experiments on these materials, e.g. on optimally doped LSCO samples exhibiting no spin-glass phase in zero field, it is frequently argued that impurities or vortices simply 'freeze' this fluctuating order [11].Describing such a phenomenon theoretically at the microscopic level is difficult due to the inhomogeneity of the interacting system, but it is important if one wishes to explore situations with strong disorder, where the correlations may no longer reflect the intrinsic spin dynamics of the pure system. Such an approach was proposed in a model calculation for an inhomogeneous d-wave superconductor with Hubbard-type correlations treated in the mean field [12]. In this model, a single impurity creates, at sufficiently large Hubbard interaction U and impurity potential strength V imp , a droplet of staggered magn...

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SO(5) theory of insulating vortex cores in high-Tcmaterials

Cited by 40 publications

References 23 publications

Competing orders in a magnetic field: Spin and charge order in the cuprate superconductors

Competing orders in a magnetic field: Spin and charge order in the cuprate superconductors

Vortex state in a doped Mott insulator

d-Wave superconductivity as a catalyst for antiferromagnetism in underdoped cuprates

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