Effect of Phase Fluctuations on the Low-Temperature Penetration Depth of 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>Superconductors

Roddick, Eric; Stroud, D.

doi:10.1103/physrevlett.74.1430

Cited by 89 publications

(103 citation statements)

References 16 publications

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“…The SCHA [34,4] is carried out by replacing the above action by a trial harmonic theory with the renormalized stiffness D chosen to minimize the free energy of the trial action. This leads to D = D 0 exp(− δθ 2 /2) where δθ ≡ (θ r,τ − θ r+α,τ ) and the expectation value is evaluated in the renormalized harmonic theory.…”

Section: Renormalization Of the Stiffnessmentioning

confidence: 99%

“…This linear drop in D s has been attributed to quasiparticle excitations near the nodes of the d-wave gap. Alternatively, it has been suggested that this effect could arise entirely from classical thermal phase fluctuations [4,5] and quasiparticles can be ignored [4,5]. It is then clearly of interest to identify the important low energy excitations in these systems, from the point of view of understanding the penetration depth data, as well as other thermodynamic properties and response functions.…”

Section: Introductionmentioning

confidence: 99%

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Effective actions and phase fluctuations ind-wave superconductors

et al. 2000

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We study effective actions for order parameter fluctuations at low temperature in layered d-wave superconductors such as the cuprates. The order parameter lives on the bonds of a square lattice and has two amplitude and two phase modes associated with it. The low frequency spectral weights for amplitude and relative phase fluctuations is determined and found to be subdominant to quasiparticle contributions. The Goldstone phase mode and its coupling to density fluctuations in charged systems is treated in a gauge-invariant manner. The Gaussian phase action is used to study both the c-axis Josephson plasmon and the more conventional in-plane plasmon in the cuprates. We go beyond the Gaussian theory by deriving a coarse-grained quantum XY model, which incorporates important cutoff effects overlooked in previous studies. A variational analysis of this effective model shows that in the cuprates, quantum effects of phase fluctuations are important in reducing the zero temperature superfluid stiffness, but thermal effects are small for T ≪ Tc.

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Section: Renormalization Of the Stiffnessmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effective actions and phase fluctuations ind-wave superconductors

et al. 2000

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“…Its importance in the formation of stripe phase has been emphasized by several authors 18 . However, its role and influence on nodal quasiparticles are still in debate 19 . In the absence of a reliable microscopic theory of Coulomb interaction, we resort to the phenomenological approach.…”

Section: Introductionmentioning

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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“…According to the alternative explanation suggested in refs. [2,3] the linear decrease in the temperature dependence of 1/λ 2 is induced entirely by classical thermal phase fluctuations. Recently the role of fluctuations was reconsidered [4] for a d-wave superconductor by means of a microscopic approach within a functional integral framework, and quantum phase fluctuations were found to lead to a sizeable renormalization of the superfluid density, the effect of thermal fluctuations being small for T < T c .…”

mentioning

confidence: 99%

“…[2][3][4] are equilibrium fluctuations, therefore, the problem can be solved by means of a phenomenological approach based on the fluctuation-dissipation theorem. Such an approach is more simple and physically transparent, being in the same time more general because it is not restricted to a specific model of high-T c superconductivity.…”

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confidence: 99%

Effect of Equilibrium Fluctuations on Superfluid Density in Layered Superconductors

Artemenko

Remizov

2001

Phys. Rev. Lett.

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We calculate suppression of inter-and intralayer superconducting currents due to equilibrium phase fluctuations and find that, in contrast to a recent prediction, the effect of thermal fluctuations cannot account for linear temperature dependence of the superfluid density in high-Tc superconductors at low temperatures. Quantum fluctuations are found to dominate over thermal fluctuations at low temperatures due to hardening of their spectrum caused by the Josephson plasma resonance. Near Tc sizeable thermal fluctuations are found to suppress the critical current in the stack direction stronger, than in the direction along the layers. Fluctuations of quasiparticle branch imbalance make the spectral density of voltage fluctuations at small frequencies non zero, in contrast to what may be expected from a naive interpretation of Nyquist formula.PACS numbers: 74.40.+k, 74.25.Fy One of important problems in layered high-T c cuprate superconductors that is still under discussion is the origin of the observed linear low-temperature dependence of the superfluid density (phase stiffness). The latter is directly related to magnetic penetration depths, λ and λ ⊥ , for a magnetic field screened by currents flowing in directions parallel and perpendicular to the superconducting planes, respectively [1]. This dependence is usually attributed to contribution of quasiparticles near the nodes of the d-wave gap. According to the alternative explanation suggested in refs. [2,3] the linear decrease in the temperature dependence of 1/λ 2 is induced entirely by classical thermal phase fluctuations. Recently the role of fluctuations was reconsidered [4] for a d-wave superconductor by means of a microscopic approach within a functional integral framework, and quantum phase fluctuations were found to lead to a sizeable renormalization of the superfluid density, the effect of thermal fluctuations being small for T < T c .Thermal and quantum fluctuations considered in refs. [2][3][4] are equilibrium fluctuations, therefore, the problem can be solved by means of a phenomenological approach based on the fluctuation-dissipation theorem. Such an approach is more simple and physically transparent, being in the same time more general because it is not restricted to a specific model of high-T c superconductivity. In the present work we reconsider the role of equilibrium phase fluctuations in layered superconductors applying the fluctuation-dissipation theorem to equations of the linear response, and come to conclusions different from those of refs. [4] we find that renormalization of the superfluid density due to fluctuations at low temperatures is not large. Near T c , when quasiparticle density dominates over the superfluid density, we find a different picture. In this case thermally induced fluctuations of the quasiparticle branch imbalance are found to be important, and a reduction of the superfluid density may become sizeable. We find that a suppression of the superconducting critical current due to thermal fluctuations is larger in the st...

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Effect of Phase Fluctuations on the Low-Temperature Penetration Depth of High-TcSuperconductors

Cited by 89 publications

References 16 publications

Effective actions and phase fluctuations ind-wave superconductors

Effective actions and phase fluctuations ind-wave superconductors

Paring instability in the mixed state of ad-wave superconductor

Effect of Equilibrium Fluctuations on Superfluid Density in Layered Superconductors

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