980 research outputs found

    Ion-size effects on cuprate High Temperature Superconductors

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    There are two general ways to compress the cuprates, by external pressure or by internal pressure as induced by isovalent-ion substitution. Paradoxically, they have the opposite effect on the superconducting transition temperature. This thesis seeks to understand the salient difference between these two pressures. We study three families of cuprates where the ion size can be systematically altered; Bi2_2(Sr1.6−x_{1.6-x}Ax_x)Ln0.4_{0.4}CuO6+δ_{6+ \delta}, ACuO2_2 and LnBa2−x_{2-x} Srx_x Cu3_3 O7−δ_{7-\delta} where Ln is a Lanthenide or Y and A=\{Mg,Ca,Sr,Ba\}. We use a variety of techniques to explore our paradox, for example; Raman spectroscopy to measure the antiferromagnetic exchange energy and energy gaps, Density Functional Theory to calculate the density of states, Muon Spin Relaxation to measure the superfluid density as well as a variety of more conventional techniques to synthesize and characterise our samples. Our Raman studies show that an energy scale for spin fluctuations cannot resolve the different effects of the two pressures. Similarly the density of states, while an important property, does not clearly resolve the paradox. Our superfluid density measurements show that the disorder resulting from isovalent-ion substitution is secondary in importance for the superconducting transition temperature. Instead, we find that the polarisability is a key property of the cuprates with regard to superconductivity. This understanding resolves the paradox! It implies that electron pairing results from either (i) a short-range interaction where the polarisability screens repulsive longer-range interactions and/or (ii) the relatively unexplored idea of the exchange of quantized, coherent polarisation waves. More generally, we have also demonstrated the utility of studying ion-size effects to further our collective understanding of the cuprates.Comment: PhD thesis. 238 pages, 79 figure

    Muon-spin-rotation study of the magnetic structure in the tetragonal antiferromagnetic state of weakly underdoped Ba1−x _{1-x} Kx _{x} Fe2 _{2} As2 _{2}

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    With muon spin rotation (μ \mu SR) we studied the transition between the orthorhombic antiferromagnetic (o-AF) and the tetragonal antiferromagnetic (t-AF) states of a weakly underdoped Ba1−x _{1-x} Kx _{x} Fe2 _{2} As2 _{2} single crystal. We observed some characteristic changes of the magnitude and the orientation of the magnetic field at the muon site which, due to the fairly high point symmetry of the latter, allow us to identify the magnetic structure of the t-AF state. It is the so-called, inhomogeneous double-Q\mathbf{Q} magnetic structure with c c -axis oriented moments which has a vanishing magnetic moment on half of the Fe sites.Comment: 5 pages, 4 figures. Supplementary Material: 8 figure

    Dark matter as a Cosmic Bose-Einstein Condensate and possible Superfluid [pre-print]

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    Dark matter arising from spontaneous symmetry breaking of a neutral scalar field coupled to gravity comprises ultra low mass bosons with a Bose-Einstein condensation temperature far above the present background temperature. Assuming galactic halos to consist of a Bose-Einstein condensate of astronomical extent, we calculate the condensate coherence length, transition temperatures, mass distribution, and orbital velocity curves, and deduce the particle mass and number density from the observed rotation curves for the Andromeda and Triangulum galaxies. We also consider the possibility of superfluid behaviour in the halos of rotating galaxies, and estimate the critical angular frequency and line density for formation of quantised vortices

    Maine Crusades and Crusaders, 1830-1850 and Addenda

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    The article reviews the proliferation of agencies and movements for advancing Christian piety and morals in 19th century Maine. The Addenda reviews a number of publications regarding Maine Indigenous Peoples

    Coherent Degenerate Dark Matter: A Galactic Superfluid? [pre-print]

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    Dark matter comprising a Bose-Einstein condensate (BEC) forms structures of the size of its coherence length, as determined by equilibrium between quantum pressure and gravitational attraction. This is also the core size of quantum vortices in a BEC superfluid. From the density and rotation curve of the Andromeda Galaxy (M31) we estimate the particle mass, particle density, coherence length, critical temperature, critical angular frequency, and vortex line density of the dark matter condensate composing the halo

    Quantum Stabilization of General-Relativistic Variable-Density Degenerate Stars

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    Research by one of the authors suggested that the critical mass of constant-density neutron stars will be greater than eight solar masses when the majority of their neutrons group into bosons that form a Bose-Einstein condensate, provided the bosons interact with each other and have scattering lengths on the order of a picometer. That analysis was able to use Newtonian theory for the condensate with scattering lengths on this order, but general relativity provides a more fundamental analysis. In this paper, we determine the equilibrium states of a static, spherically-symmetric variable-density mixture of a degenerate gas of noninteracting neutrons and a Bose-Einstein condensate using general relativity. We use a Klein-Gordan Lagrangian density with a Gross-Pitaevskii term for the condensate and an effective field for the neutrons. We show that a new class of compact stars can exist with masses above the Oppenheimer-Volkoff limit, provided the scattering length of the bosons is large enough. These stars have no internal singularities, obey causality, and demonstrate a quantum mechanism consistent with general relativity that could prevent collapsed stars from becoming black holes
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