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Atkinson, W. A.; Sonier, J. E.

doi:10.1103/physrevb.77.024514

Cited by 24 publications

(22 citation statements)

References 56 publications

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“…where the hopping amplitude between nearest-neighbor and next-nearest-neighbor sites i [21,38,39]. We define the following magnetic translation operator [40]: …”

Section: Appendix Numerical Methodsmentioning

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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“…where the hopping amplitude between nearest-neighbor and next-nearest-neighbor sites i [21,38,39]. We define the following magnetic translation operator [40]: …”

Section: Appendix Numerical Methodsmentioning

confidence: 99%

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

et al. 2010

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“…The field washes out the distinct energy scales; however, E s shows up in the field-dependence of the DOS. Compared with the single-layer model, ρ(ε F ) for the bilayer model is a strong function of B for B < B * , where B * ∼ E 2 s [19] is the crossover field mentioned above. For B > B * , ρ(ε F ) varies at a similar rate with B in both the single-layer and bilayer models.…”

Section: Resultsmentioning

confidence: 99%

“…The details of the transformation to Bloch states are given in [19]. Here, we simply mention that our self-consistent calculations proceed in several steps.…”

Section: Methodsmentioning

confidence: 99%

“…Since the technical details of the calculation have been given in [19], we only give a summary of the main ideas here. The plane-chain model is made up of a single bilayer consisting of a tetragonal 2D plane layer (representing a CuO 2 layer) and a layer of 1D chains (representing a CuO layer).…”

Section: Methodsmentioning

confidence: 99%

“…For example, it has been found [16,17] that the vortex cores in YBa 2 Cu 3 O 7−δ , as measured by µSR experiments, are much larger at small magnetic fields B than expected from the measured upper critical field, and that the cores contract rapidly with increasing B below a crossover field B * . This anomalous behaviour has been explained by the presence of CuO chains [18,19], and it can be shown that B * ∼ E 2 s . It has also been suggested that a similar small energy scale seen in tunneling experiments [20,21,22] can be attributed to the chains.…”

Section: Introductionmentioning

confidence: 99%

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The effect of CuO chains on the local density of states in the vortex phase of YBa₂Cu₃O₇

Atkinson¹

2008

Supercond. Sci. Technol.

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Abstract. We examine the effects of the CuO chains on the density of states in the vortex phase in YBa 2 Cu 3 O 7 , via a calculation based on the tight-binding proximity model. In this model, chain superconductivity results from single-electron hopping between the intrinsically-normal chains and intrinsically-superconducting CuO 2 planes. The calculations are based on self-consistent solutions of the Bogolyubov-de Gennes equations for a bilayer consisting of a single CuO 2 layer and a single CuO chain layer. We find that, in addition to the dispersing resonances found in single-layer models, the chains introduce a second set of dispersing resonances associated with the induced gap in the chain layer. These new resonances are highly anisotropic and distort the vortex core shape.

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Low-Frequency Quantum Oscillations Due to Strong Electron Correlations

Sherman

2014

Nanotechnology in the Security Systems

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The density of states of the two-dimensional fermionic Hubbard model in the perpendicular homogeneous magnetic field is calculated using the strong coupling diagram technique. The density of states at the Fermi level as a function of the inverse magnetic induction oscillates, and the frequency of these oscillations increases by an order of magnitude with the change of the deviation from half-filling from small to moderate values. This frequency variation is caused by the change of Landau subbands contributing to the density -in the former case they are at the periphery of the Landau spectrum, while in the latter case the dominant contribution is provided by bands near its center. With changing induction these groups of bands behave differently. For small deviations from half-filling the calculated oscillation frequency is comparable to that observed in quantum oscillation experiments in yttrium cuprates.

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Role of CuO chains in vortex core structure inYBa2Cu3O7−δ

Cited by 24 publications

References 56 publications

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

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

The effect of CuO chains on the local density of states in the vortex phase of YBa₂Cu₃O₇

Low-Frequency Quantum Oscillations Due to Strong Electron Correlations

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Role of CuO chains in vortex core structure inYBa2Cu3O7−δ

Cited by 24 publications

References 56 publications

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

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

The effect of CuO chains on the local density of states in the vortex phase of YBa2Cu3O7

Low-Frequency Quantum Oscillations Due to Strong Electron Correlations

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Product

Resources

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The effect of CuO chains on the local density of states in the vortex phase of YBa₂Cu₃O₇