Unified theory of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ab</mml:mi></mml:math>-plane and<i>c</i>-axis penetration depths of underdoped cuprates

Sheehy, Daniel E.; Davis, Tom P.; Franz, Marcel

doi:10.1103/physrevb.70.054510

Cited by 39 publications

(47 citation statements)

References 39 publications

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“…3 (then Fig. 5), in the present t-t 0 -J model is the same as that in the t-J [20], and can be attributed to the nonlocal effects induced by the gap nodes on the Fermi surface in a pure d-wave pairing state [15][16][17][18][19]. A weak external magnetic field acts on the SC state of cuprate superconductors as a perturbation.…”

Section: Doping and Temperature Dependence Of The In-plane Superfluidmentioning

confidence: 69%

“…1), where the step function h(x) = 1 for x < 0 and h(x) = 0 for x > 0. Now we turn to discuss the paramagnetic part of the response kernel (19) in the long wavelength limit at T = T c (b c ¼ T À1 c ). In this case, the energy gap D hZ ðkÞj T¼Tc ¼ 0, and the paramagnetic part of the response kernel (19) can be evaluated explicitly as, Z p Àp dk y 2p sin 2 k y ½v 1 t À 2v 2 t 0 cos k x 2 b c e b c n k ðe b c n k þ 1Þ 2…”

Section: Discussionmentioning

confidence: 99%

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Doping dependence of Meissner effect in cuprate superconductors

Feng

Huang

Zhao

2010

Physica C: Superconductivity

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Within the t-t'-J model, the doping dependence of the Meissner effect in cuprate superconductors is studied based on the kinetic energy driven superconducting mechanism. Following the linear response theory, it is shown that the electromagnetic response consists of two parts, the diamagnetic current and the paramagnetic current, which exactly cancels the diamagnetic term in the normal state, and then the Meissner effect is obtained for all the temperature $T\leq T_{c}$ throughout the superconducting dome. By considering the two-dimensional geometry of cuprate superconductors within the specular reflection model, the main features of the doping and temperature dependence of the local magnetic field profile, the magnetic field penetration depth, and the superfluid density observed on cuprate superconductors are well reproduced. In particular, it is shown that in analogy to the domelike shape of the doping dependent superconducting transition temperature, the maximal superfluid density occurs around the critical doping $\delta\approx 0.195$, and then decreases in both lower doped and higher doped regimes.Comment: 13 pages, 5 figure

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Section: Doping and Temperature Dependence Of The In-plane Superfluidmentioning

confidence: 69%

Section: Discussionmentioning

confidence: 99%

Doping dependence of Meissner effect in cuprate superconductors

Feng

Huang

Zhao

2010

Physica C: Superconductivity

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“…The superfluid density, ρ s , is proportional to the inverse square of the penetration depth given by [14] 1…”

mentioning

confidence: 99%

Thermodynamic properties ofBi2Sr2CaCu2O8calculated from the ele

2008

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The electronic dispersion for Bi2Sr2CaCu2O 8+δ has been determined from angle-resolved photoelectron spectroscopy (ARPES). From this dispersion we calculate the entropy and superfluid density. Even with no adjustable parameters we obtain an exceptional match with experimental data across the entire phase diagram, thus indirectly confirming both the ARPES and thermodynamic data. The van Hove singularity is crossed in the overdoped region giving a distinctive linear-in-T temperature dependence in the superfluid density there.PACS numbers: 74.25. Bt, 74.25.Jb, 74.62.Dh, The generic doping dependence of the thermodynamic, electrodynamic and transport properties of high-T c superconductors remains a puzzle despite many years of study. Their unusual behaviour is often taken to be a signature of exotic physics yet it should be related to the electronic energy-momentum dispersion, obtained for example from angle-resolved photoemission spectroscopy (ARPES). These studies indicate the presence of an extended van Hove saddle-point singularity[1] situated at the (0,π) point together with a normal-state pseudogap [2] as common features in the electronic band structure of the cuprate superconductors. The pseudogap exhibits a reduction in the density of states (DOS) at the Fermi level which is believed to develop into a fully nodal gap at low temperature [3].In theories based on the so-called van Hove scenario[4] the superconducting (SC) transition temperature, T c , is enhanced by the close proximity of a van Hove singularity (vHs). These theories assume that the vHs sweeps through the Fermi level at around optimal doping (p = 0.16), indeed causing the peak in T c (p). However, ARPES measurements of the band structure of Bi-2201[5] show that the vHs crosses the Fermi level in the deeply overdoped side of the phase diagram. For a bilayer cuprate like Bi-2212 the weak coupling between the layers splits the bands near the (π, 0) points into an upper antibonding band and a lower bonding band. ARPES measurements performed on Bi-2212 [6] suggest that the antibonding band vHs crosses at around p = 0.225 where T c ≈ 60K i.e. near the limit for overdoping in this material. The vHs crossing should profoundly affect all physical properties.In this work we have used the thermodynamic properties as a window on the electronic structure to independently check the main ARPES results. Using an ARPESderived energy dispersion we have calculated the doping and temperature dependence of the entropy and superfluid density of Bi-2212. All details for our calculations are taken directly, and only, from ARPES in order to determine the implications of this data. Our calculations confirm the ARPES results, giving a consistent picture of the thermodynamic and electrodynamic properties in terms of a proximate vHs.We assume Fermi-liquid-like, mean-field, weakcoupling physics in spite of indications, or expectations, to the contrary. In defense of our approach (i) the thermodynamics at low T is dominated by the nodal regions of the Fermi surface where qua...

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“…Here we concentrate on the in-plane Meissner effect based on the kinetic energy driven superconductivity [9,10] and do not consider c-axis properties, which can be discussed, e.g., by taking into account hopping between adjacent copper-oxides layers within the tunneling Hamiltonian approach [11].…”

Section: (283)mentioning

confidence: 99%

Electromagnetic Response in Kinetic Energy Driven Superconductivity: the Meissner Effect

et al. 2010

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Electromagnetic response of cuprate superconductors is studied within the model of kinetic energy driven d-wave superconductivity by analyzing the Meissner effect. The kernel of the linear response function is found and employed to calculate the magnetic field penetration depth and the superfluid density of cuprate superconductors within the specular reflection model for a purely transverse vector potential. It is shown that the magnetic field penetration depth and the superfluid density depend linearly on temperature, except for a strong deviation from the linear characteristics at extremely low temperatures, which is attributed to nonlocal effects. The zero-temperature superfluid density is found to decrease linearly with decreasing doping concentration in the underdoped regime. The problem of gauge invariance in the theoretical description of the electromagnetic response is addressed, and an approximation which does not violate local charge conservation is proposed.PACS numbers: 74.25. Ha, 74.20.Mn

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Unified theory of theab-plane andc-axis penetration depths of underdoped cuprates

Cited by 39 publications

References 39 publications

Doping dependence of Meissner effect in cuprate superconductors

Doping dependence of Meissner effect in cuprate superconductors

Thermodynamic properties ofBi2Sr2CaCu2O8calculated from the ele

Electromagnetic Response in Kinetic Energy Driven Superconductivity: the Meissner Effect

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