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List of Figures

  1. Generic Phase diagram of the hole-doped HTSC La$ _{2-x}$Sr$ _x$CuO$ _4$ and the electron-doped HTSC Pr$ _{2-x}$Ce$ _x$CuO$ _4$ as a function of charge doping concentration
  2. Angular distribution of positrons from $ \mu ^{+}$ decay with respect to the initial muon spin direction
  3. Schematic diagram for a typical TD-$ \mu $SR experiment
  4. Schematic diagram of a TF-$ \mu $SR experiment
  5. Schematic diagram of a ZF-$ \mu $SR experiment
  6. Crystal structure of La$ _{2-x}$Sr$ _x$CuO$ _4$ and Pr$ _{2-x}$Ce$ _x$CuO$ _4$
  7. Bulk magnetic susceptibility measurements taken under FC and ZFC conditions with $ H$ = $ 1$ Oe and resistivity measurements in zero external magnetic field
  8. Schematic of the experimental setup
  9. Time evolution of the asymmetry in zero external magnetic field at $ T$ = $ 165$ K, $ 80$ K, $ 40$ K and $ 2.3$ K.
  10. Time evolution of the asymmetry in longitudinal external magnetic fields of $ 100$ Oe and $ 25$ Oe, at $ T$ = $ 25$ K.
  11. Temperature dependence of the amplitudes $ a_1$ and $ a_2$
  12. Temperature dependence of the relaxation rates $ \Delta $ and $ \lambda $.
  13. Time evolution of the muon-spin polarization in Pr$ _{2-x}$Ce$ _x$CuO$ _4$ taken under (a) FC and (b) ZFC conditions at $ T$ = $ 2.4$ K
  14. Time evolution of the muon-spin polarization in Pr$ _{2-x}$Ce$ _x$CuO$ _4$ taken under (a) FC and (b) ZFC conditions at $ H$ = $ 91$ Oe
  15. FFTs of the muon-spin precession signal in Pr$ _{2-x}$Ce$ _x$CuO$ _4$
  16. Temperature dependence of $ B_{0} - \mu _{0}H$ at $ H$ = $ 91$, $ 200$, $ 500$ and $ 2019$ Oe
    Inset: Magnetic field dependence of $ B_{0} - \mu _{0}H$ at $ T$ = $ 5$ and $ 25$ K
  17. $ K^{\perp }$ vs. $ \chi ^{\perp }$ at $ H$ = $ 3$ kOe.
    Inset: Temperature dependence of $ \chi ^{\perp }$ and $ \chi^{\Vert}$ at $ H$ = $ 10$ kOe.
  18. Temperature dependence $ B_{0}$ and $ \chi ^{\perp }$ measured under FC conditions at $ H$ = $ 91$ and $ 500$ Oe
  19. Magnetic field dependence of $ B_{0}^{S}$ - $ B_{0}^{N}$ at $ T$ = $ 5$ K and $ 10$ K
  20. Top: Two proposed ordered Cu-spin structures for Pr$ _{2}$CuO$ _{4}$
    Bottom: Magnetic field strength at the muon stopping site due to Cu dipole moments plotted as a function of the canting angle $ \theta $ between the Cu spins and the CuO$ _2$ plane
  21. FFTs of the muon-spin precession signal and the theoretical muon-spin polarization functions with $ G(t)$ = $ e^{-(\Delta t)^\beta }$ where $ \beta $ = $ 1.2$, and $ G(t)$ = $ e^{-(\sigma ^2 t^2)/2}$
  22. Temperature dependence of $ \lambda _{ab}$ for a Pr$ _{2-x}$Ce$ _x$CuO$ _4$ single crystal with $ \xi _{ab}$ = 30 Å and 60 Å at $ H$ = $ 91$ Oe
  23. Temperature dependence of the magnetic penetration depth $ \lambda _{ab}^{-2}(T)$ at $ H$ = $ 91$ Oe
  24. Temperature dependence of the magnetic penetration depth in a second Pr$ _{2-x}$Ce$ _x$CuO$ _4$ single crystal at $ H$ = $ 200$ Oe
  25. Normalized magnetic penetration depth $ \lambda ^{2}_{ab}(0)/\lambda ^{2}_{ab}(T)$ as a function of reduced temperature $ T/T_{c}$ for Pr$ _{2-x}$Ce$ _x$CuO$ _4$ single crystals at $ H$ = $ 91$ Oe, La$ _{2-x}$Sr$ _x$CuO$ _4$ at $ H$ = $ 2$ kOe and YBa$ _2$Cu$ _3$O$ _{6.95}$ at $ H$ = $ 5$ kOe


Jess H. Brewer 2003-07-01