We present a thorough study of doping dependent magnetic hysteresis and relaxation characteristics in single crystals of (Ba 1-x K x )Fe 2 As 2 (0.18≤x≤1). The critical current density J c reaches maximum in the underdoped sample x=0.26 and then decreases in the optimally doped and overdoped samples. Meanwhile, magnetic relaxation rate S rapidly increases and the flux creep activation barrier U 0 sharply decreases in the overdoped sample x=0.70. These results suggest that vortex pinning is very strong in the underdoped regime, but it is greatly reduced in the optimally doped and overdoped regime. Transmission electron microscope (TEM) measurements reveal the existence of dislocations and inclusions in all three studied samples x=0.38, 0.46, and 0.65. An investigation of the paramagnetic Meissner effect (PME) suggests that spatial variations in T c become small in the samples x=0.43 and 0.46, slightly above the optimal doping levels. Our results support that two types of pinning sources dominate the (Ba 1- * Corresponding author. Email address: yliu@ameslab.gov 2 x K x )Fe 2 As 2 crystals: (i) Strong δl pinning resulted from the fluctuations in the mean free path l and δT c pinning from the spatial variations in T c in the underdoped regime; (ii) Weak δT c pinning in the optimally doped and overdoped regime. PACS number(s): 74.70.Xa, 74.25.Wx, 74.25.Sv 3
I. INTRODUCTIONThe studies of vortex dynamics revealed many interesting phenomena in the iron pnictide superconductors. Because of the availability of large and high-quality single crystals, most of researches have been done on 122-type superconductors with ThCr 2 Si 2 structure. Similar to high T c cuprate superconductors, a pronounced second magnetization peak (SMP) was observed in magnetization hysteresis loops (MHLs) of (Ba 1−x K x )Fe 2 As 2 [1-6], Ba(Fe 1−x Co x ) 2 As 2 [3,6,7-13], BaFe 2 (As 1−x P x ) 2 [6,14-15]. One of striking features that that distinguish iron pnictide superconductors from high T c cuprate superconductors is the observation of strongly disordered vortex structure in iron pnictide superconductors by Bitter decoration [16][17][18][19][20][21][22], scanning tunneling microscopy (STM) [23][24], magnetic force microscopy (MFM) [25], small-angle neutron scattering (SANS) measurements [17][18][26][27]. Although long-range ordered vortex lattice (VL) was not observed yet, the so-called Bragg glass may exist, which is a glass but nearly as ordered as a perfect crystal. An ordered vortex structure was observed in an area of 130 50 nm 2 in optimally doped Ba 0.6 K 0.4 Fe 2 As 2 by STM measurement [28]. With a large Ba 0.64 K 0.36 Fe 2 As 2 single crystal, SANS measurement observed Bragg peaks corresponding to a long-range ordered triangular lattice below H=0.75 T. With increasing magnetic field above 0.75 T, diffraction spots smeared and gave the characteristic pattern of circles from a polycrystalline structure, which was interpreted as a vortex order-disorder transition associated with the appearance of SMP in MHLs [29]. In optimally doped BaF...