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METALS, SUPERCONDUCTORS ... 2009Coexist<strong>en</strong>ce of magnetic order and superconductivity in iron pnicti<strong>des</strong>How long range magnetic order can coexist with bulk superconductivityis a c<strong>en</strong>tral question in a number of unconv<strong>en</strong>tionalsuperconductors. Both in the copper oxideand in the ”new” iron pnictide family of high temperaturesuperconductors the superconducting phase is obtained byadding charge carriers into a phase with antiferromagneticorder. Observation of phase coexist<strong>en</strong>ce in such a situationimmediately raises two important questions. The firstone is about the intrinsic character of the coexist<strong>en</strong>ce. Thisquestion is obviously linked to a rather subtle issue in theseoff-stoichiometric materials: to which ext<strong>en</strong>t is chemicalinhomog<strong>en</strong>eity of the samples intrinsic or not, i.e. unavoidableor not? The next important question is: Do the phasesoverlap in space, or do they occupy mutually exclusive volumes?In short, on which l<strong>en</strong>gth scale do the two phasescoexist? This is an equally delicate problem because unambiguousdirect experim<strong>en</strong>tal proofs are in most cases difficultto obtain, ev<strong>en</strong> for true local probes such as nuclearmagnetic resonance (NMR), muon spin rotation (µSR) orscanning tunneling microscopy (STM). As a matter of fact,the debate is still going on in the cuprates. In the ironpnicti<strong>des</strong>, magnetic order (a spin d<strong>en</strong>sity wave state) hasrec<strong>en</strong>tly be<strong>en</strong> found to coexist with superconductivity inseveral (but not all) families. Yet, a global picture of theconditions for this coexist<strong>en</strong>ce in the pnicti<strong>des</strong> is still lacking.We have measured the NMR properties of 75 As nucleiin single crystals of Ba(Fe 1.95 Co 0.05 ) 2 As 2 andBa 0.6 K 0.4 Fe 2 As 2 , both of which show 100% Meissner volumefraction [Juli<strong>en</strong> et al., EPL 87, 37001 (2009)]. Ourresults demonstrate that both samples show the coexist<strong>en</strong>ceof bulk superconductivity with magnetic (SDW) order. Yet,the details appear differ<strong>en</strong>t:- In Ba(Fe 1.95 Co 0.05 ) 2 As 2 , the fact that the NMR signalat the paramagnetic resonance frequ<strong>en</strong>cy vanishes abruptlyand completely below TSDW onset = 56 K indicates that the twophases coexist at the microscopic scale probed by NMR, asituation which is oft<strong>en</strong> referred to as ”homog<strong>en</strong>eous mixing”in the literature. This implies either that both types oforders are simultaneously defined at each Fe site (owing tothe multiple bands pres<strong>en</strong>t at the Fermi level), or that theyare mixed on the scale not greater than one or two latticespacing. A nanoscale coexist<strong>en</strong>ce involving superconductingislands (without magnetic order) of typical size definedby the coher<strong>en</strong>ce l<strong>en</strong>gth ξ ≃ 2.8 nm appears to be unlikely.In this case, some paramagnetic NMR signal from regionsas large as t<strong>en</strong> times the Fe-Fe distance should have be<strong>en</strong>observed.- In Ba 0.6 K 0.4 Fe 2 As 2 , on the other hand, the NMR signalhas decreased but remains finite in the whole temperaturerange, including the superconducting state. Thus, the magneticregions do not occupy the full sample volume. Inthis s<strong>en</strong>se, the coexist<strong>en</strong>ce might be qualified as ”inhomog<strong>en</strong>eous”.Figure 80: Top panel: In-plane resistivities. Bottom panel: NMRsignal int<strong>en</strong>sities (r<strong>en</strong>ormalized by temperature). Excessive signalloss is due to the spin-d<strong>en</strong>sity-wave transition in all (Co-dopedmaterial) or part (K-doped material) of the samplePerhaps unexpectedly, the inhomog<strong>en</strong>eity is considerablystronger in the potassium-doped sample. Actually, the factthat substitutions at the Fe site, unlike substitutions at theCu site in the cuprates, improve conductivity and ev<strong>en</strong> inducesuperconductivity is one of the most remarkable surprisesof these new superconductors. It is difficult to fullyunderstand the Ba 1−x K x Fe 2 As 2 system from the pres<strong>en</strong>tNMR data only. The important inhomog<strong>en</strong>eity/disordercould be due to inhomog<strong>en</strong>eity of K + conc<strong>en</strong>tration and/orto a particularly strong impact of these ions on the localelectronic structure in FeAs layers. No evid<strong>en</strong>ce for phaseseparation could be detected in the K-doped sample, andthe single crystal exhibits 100% Meissner fraction. Wepoint out that T SDW vs. x is extremely steep near x = 0.4.Phase separation or inhomog<strong>en</strong>eous coexist<strong>en</strong>ce could thusoriginate from K-doping inhomog<strong>en</strong>eity around this particularconc<strong>en</strong>tration. Therefore, they might not reflect theproperties at somewhat lower x values. In other words,Ba 1−x K x Fe 2 As 2 should perhaps be simply viewed as a disorderedversion of Ba(Fe 1−x Co x ) 2 As 2 . Anyhow, the coexist<strong>en</strong>ceof magnetic and superconducting phases clearlyemerges as a cornerstone of the iron-pnictide physics.M. Horvatić, C. BerthierM.-H. Juli<strong>en</strong>, H. Mayaffre (<strong>Laboratoire</strong> de Spectrométrie Physique, Université J. Fourier, Gr<strong>en</strong>oble, France), X. D.Zhang, W. Wu, G.F. Ch<strong>en</strong>, N.L. Wang, J.L. Luo (Beijing <strong>National</strong> Laboratory for Cond<strong>en</strong>sed Matter Physics andInstitute of Physics, Chinese Academy of Sci<strong>en</strong>ce, Beijing, China)60

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