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Register a new userSuperfluid density measurements of Ba(CoxFe1-x)2As2 films near optimal doping
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Thomas R. Lemberger
Publication date
2011
fields
Physics
and research's language is
English
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We report the first direct measurements of superfluid density, ns(T) propto {lambda}-2(T), in films of Fe-pnictide superconductors. The magnetic penetration depth, {lambda}(0), in our epitaxial, single-crystal Ba(CoxFe1-x)2As2 films near optimal doping (x=0.08) is 350 nm to 430 nm, comparable to bulk single crystals. The T-dependence of {lambda}-2 indicates a small s-wave gap, 2{Delta}(0)/kBTc = 2.2 pm 0.1. In detail, {lambda} has power-law behavior at low T: {lambda}(T)/{lambda}(0) - 1 approx 0.60*(T/Tc)2.5pm0.1. The small gap, together with power-law behavior at low T, suggests strong intraband scattering on the larger-gap Fermi surface and significant interband scattering between large-gap and small-gap Fermi surfaces.
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Due to their proximity to an antiferromagnetic phase and to the mysterious pseudogap, underdoped cuprates have attracted great interest in the high Tc community for many years. A central issue concerns the role of quantum and thermal fluctuations of the phase of the superconducting order parameter. The evolution of superfluid density ns with temperature and doping is a powerful probe of this physics. Here, we report superfluid density measurements on underdoped Bi2Sr2CaCu2O8+x (Bi-2212) films at much lower dopings than have been achieved previously, and with excellent control on doping level - Tc ranges from Tc,min ~ 6K to Tc,max ~ 80K in steps of about 5K. Most famous studies on Bi-2212 like angle-resolved photoemission and scanning probe microscopy are surface-sensitive while superfluid density measurements are bulk-sensitive. We find that strong two-dimensional quantum fluctuations are evident in the observed linear scaling of Tc with ns(0) when Tc is below about 45 K, which contrasts with three-dimensional quantum fluctuations evident in the square root scaling, Tc $propto sqrt$ns(0), seen in the much less anisotropic cuprate, YBa2Cu3O7 (YBCO). On the other hand, consistent with YBCO, ns(T) in severely underdoped Bi-2212 loses its strong downward curvature near Tc, becoming quasi-linear without any obvious critical behavior near Tc. We argue that the quasi-linear T dependence arises from thermal phase fluctuations, although the current theory needs modification in order to understand some features.
We report muon spin rotation ($mu$SR) measurements of single crystal Ba(Fe$_{1-x}$Co$_x$)$_2$As$_2$ and Sr(Fe$_{1-x}$Co$_x$)$_2$As$_2$. From measurements of the magnetic field penetration depth $lambda$ we find that for optimally- and over-doped samples, $1/lambda(Tto 0)^2$ varies monotonically with the superconducting transition temperature T$_{rm C}$. Within the superconducting state we observe a positive shift in the muon precession signal, likely indicating that the applied field induces an internal magnetic field. The size of the induced field decreases with increasing doping but is present for all Co concentrations studied.
The temperature dependence of the $ab$-plane optical reflectivity of Ba(Fe$_{0.92}$Co$_{0.08})_2$As$_{2}$ and Ba(Fe$_{0.95}$Ni$_{0.05})_2$As$_{2}$ single crystals is measured in a wide spectral range. Upon entering the superconducting regime, the reflectivity in both compounds increases considerably at low frequency, leading to a clear gap in the optical conductivity below 100 cm$^{-1}$. From the analysis of the complex conductivity spectra we obtain the penetration depth $lambda(T)=(3500pm 350)$ AA for Ba(Fe$_{0.92}$Co$_{0.08})_2$As$_{2}$ and $(3000pm 300)$ AA for Ba(Fe$_{0.95}$Ni$_{0.05})_2$As$_{2}$. The calculated superfluid density $rho_s$ of both compounds nicely fits the scaling relation $rho_s=(125pm 25)sigma_{dc}T_c$.
We investigated the optical spectrum of Ba(Fe1-xCox)2As2 single crystals with various doping levels. It is found that the low-energy optical conductivity spectrum of this system can be decomposed into two components: a sharp Drude term and a broad incoherent term. For the compounds showing magnetic order, a gap appears predominantly in the incoherent component, while an s-wave like superconducting gap opens in both components for highly doped compounds. The Drude weight steadily increases as doping proceeds, consistent with electron doping in this system. On the other hand, the incoherent spectral weight is almost doping independent, but its spectral feature is intimately connected with the magnetism. We demonstrate that the presence of two distinct components in the optical spectrum well explains the doping and temperature dependences of the dc resistivity.
The {57}Fe-specific phonon density of states of Ba(Fe(1-x)Co(x))2As2 single crystals (x=0.0, 0.08) was measured at cryogenic temperatures and at high pressures with nuclear-resonant inelastic x-ray scattering. Measurements were conducted for two different orientations of the single crystals, yielding the orientation-projected {57}Fe-phonon density of states (DOS) for phonon polarizations in-plane and out-of-plane with respect to the basal plane of the crystal structure. In the tetragonal phase at 300 K, a clear stiffening was observed upon doping with Co. Increasing pressure to 4 GPa caused a marked increase of phonon frequencies, with the doped material still stiffer than the parent compound. Upon cooling, both the doped and undoped samples showed a stiffening, and the parent compound exhibited a discontinuity across the magnetic and structural phase transition. These findings are generally compatible with the changes in volume of the system upon doping, increasing pressure, or increasing temperature, but an extra softening of high-energy modes occurs with increasing temperature. First-principles computations of the phonon DOS were performed and showed an overall agreement with the experimental results, but underestimate the Grueneisen parameter. This discrepancy is explained in terms of a magnetic Grueneisen parameter, causing an extra phonon stiffening as magnetism is suppressed under pressure.
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