Superfluid density and competing orders in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi></mml:math>-wave superconductors

Sharapov, S. G.; Ćarbotte, J. P.

doi:10.1103/physrevb.73.094519

Cited by 15 publications

(40 citation statements)

References 57 publications

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“…Sharapov and Carbotte have performed calculations for a d x 2 −y 2 + id xy order parameter and for incommensurate spin density waves that nest the nodal points (nested SDW), obtaining analytic results for ρ s (T → 0) and its leading temperature corrections. 76 In the absence of disorder they find that both the nested SDW and the d x 2 −y 2 + id xy superconductor have a finite gap everywhere on the Fermi surface, leading to activated exponential behaviour ρ s (T ) ∼ exp(−∆ ′ /k B T ), where ∆ ′ is the magnitude of the SDW or d xy gap. However, nested SDW orders compete for Fermi surface, removing nodal states from the T = 0 condensate.…”

Section: Superfluid Density and Competing Ordersmentioning

confidence: 99%

Stability of nodal quasiparticles in underdopedYBa2Cu3O6+yprobed by penetration depth and microwave spectroscopy

et al. 2009

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High resolution measurements of superfluid density ρs(T ) and broadband quasiparticle conductivity σ1(Ω) have been used to probe the low energy excitation spectrum of nodal quasiparticles in underdoped YBa2Cu3O6+y. Penetration depth λ(T ) is measured to temperatures as low as 0.05 K. σ1(Ω) is measured from 0.1 to 20 GHz and is a direct probe of zero-energy quasiparticles. The data are compared with predictions for a number of theoretical scenarios that compete with or otherwise modify pure d x 2 −y 2 superconductivity, in particular commensurate and incommensurate spin and charge density waves; d x 2 −y 2 + is and d x 2 −y 2 + idxy superconductivity; circulating current phases; and the BCS-BEC crossover. We conclude that the data are consistent with a pure d x 2 −y 2 state in the presence of a small amount of strong scattering disorder, and are able to rule out most candidate competing states either completely, or to a level set by the energy scale of the disorder, T d ∼ 4 K. Commensurate spin and charge density orders, however, are not expected to alter the nodal spectrum and therefore cannot be excluded.

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Section: Superfluid Density and Competing Ordersmentioning

confidence: 99%

Stability of nodal quasiparticles in underdopedYBa2Cu3O6+yprobed by penetration depth and microwave spectroscopy

et al. 2009

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“…33 , so we just list the basic steps and cite the results. The superfluid stiffness is given by 2,33…”

Section: Ansatz Of Effective Interactionmentioning

confidence: 99%

“…33 , the zero temperature superfluid density is taken to be τ = 1500K and the energy scale E H ∼ 30 √ HKT −1/2 . The parameter α is a variable (in unit of eV −1 ) depending on doping concentration and the type of cuprate superconductors.…”

Section: Field Dependence Of Critical Coupling and Thermal Conducmentioning

confidence: 99%

Paring instability in the mixed state of ad-wave superconductor

2009

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We propose that an excitonic gap can be generated along nodal directions by Coulomb interaction in the mixed state of d-wave cuprate superconductors. In a superconductor, the Coulomb interaction usually can not generate any fermion gap since its strength is weakened by superfluidity. It becomes stronger as superfluid density is suppressed by external magnetic field, and is able to generate a gap for initially gapless nodal quasiparticles beyond some critical field Hc. By solving the gap equation, it is found that the nodal gap increases with growing field H, which leads to a suppression of thermal conductivity at zero temperature. This mechanism naturally produces the field-induced thermal metal-insulator transition observed in transport experiments.

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“…In the study of mixed state, Volovik [43] at first proposed a semiclassical approach and showed that the density of states goes as √ H at low temperatures, which has been observed by experiments [44]. A more complicated computation of superfluid density Λ s (H) within the semi-classical approximation has already been performed by Sharapov et al [45]. The superfluid stiffness is given by…”

mentioning

confidence: 99%

“…After taking some approximations and performing some complicated calculations, Sharapov et al obtained [45] Λ…”

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confidence: 99%

INFLUENCE OF A UNIFORM MAGNETIC FIELD ON DYNAMICAL CHIRAL SYMMETRY BREAKING IN QED₃

Feng

Jiang

et al. 2012

Mod. Phys. Lett. A

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We study dynamical chiral symmetry breaking (DCSB) in an effective QED 3 theory of d-wave high temperature cuprate superconductors under a uniform magnetic field. At zero temperature, the external magnetic field induces a mixed state by generating vortices in the condensate of charged holons. The growing magnetic field suppresses the superfluid density and thus reduces the gauge field mass which is opened via the Anderson-Higgs mechanism. By numerically solving the Dyson-Schwinger gap equation, we show that the massless fermions acquires a dynamical gap through DCSB mechanism when the magnetic field strength H is above a critical value H c and the fermion flavors N is below a critical value N c . Further, it is found that both N c and the dynamical fermion gap increase as the magnetic field H grows. It is expected that our result can be tested in phenomena in high temperature cuprate superconductors.

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Superfluid density and competing orders ind-wave superconductors

Cited by 15 publications

References 57 publications

Stability of nodal quasiparticles in underdopedYBa2Cu3O6+yprobed by penetration depth and microwave spectroscopy

Stability of nodal quasiparticles in underdopedYBa2Cu3O6+yprobed by penetration depth and microwave spectroscopy

Paring instability in the mixed state of ad-wave superconductor

INFLUENCE OF A UNIFORM MAGNETIC FIELD ON DYNAMICAL CHIRAL SYMMETRY BREAKING IN QED₃

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Superfluid density and competing orders ind-wave superconductors

Cited by 15 publications

References 57 publications

Stability of nodal quasiparticles in underdopedYBa2Cu3O6+yprobed by penetration depth and microwave spectroscopy

Stability of nodal quasiparticles in underdopedYBa2Cu3O6+yprobed by penetration depth and microwave spectroscopy

Paring instability in the mixed state of ad-wave superconductor

INFLUENCE OF A UNIFORM MAGNETIC FIELD ON DYNAMICAL CHIRAL SYMMETRY BREAKING IN QED3

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INFLUENCE OF A UNIFORM MAGNETIC FIELD ON DYNAMICAL CHIRAL SYMMETRY BREAKING IN QED₃