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Search for broken time-reversal symmetry near the surface of YBCO films using Beta-NMR PDF

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Preview Search for broken time-reversal symmetry near the surface of YBCO films using Beta-NMR

Search for broken time-reversal symmetry near the surface of YBa Cu O films 2 3 7−δ using β-NMR H.Saadaoui,1,∗ G.D.Morris,2 Z.Salman,3,∗ Q.Song,1 K.H.Chow,4 M.D.Hossain,1 C.D.P.Levy,2 T.J.Parolin,5 M. R. Pearson,2 M. Smadella,1 D. Wang,1 L. H. Greene,6 P. J. Hentges,6 R. F. Kiefl,1,2,7 and W. A. MacFarlane5 1Department of Physics and Astronomy, University of British Columbia, Vancouver, BC, V6T 1Z1, Canada 2TRIUMF, 4004 Wesbrook Mall, Vancouver, BC, V6T 2A3, Canada 3Clarendon Laboratory, Department of Physics, Oxford University, Parks Road, Oxford, OX1 3PU, UK 4Department of Physics, University of Alberta, Edmonton, AB, T6G 2G7, Canada 1 5Chemistry Department, University of British Columbia, Vancouver, BC, V6T 1Z1, Canada 1 6Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois, 61801, USA 0 7Canadian Institute for Advanced Research, Toronto, ON, M5G 1Z8, Canada 2 (Dated: January 6, 2011) n a Weak spontaneous magnetic fields are observed near the surface of YBa2Cu3O7−δ films using J β-detected Nuclear Magnetic Resonance. Below Tc, the magnetic field distribution in a silver film evaporated onto the superconductor shows additional line broadening, indicating the appearance 5 of small disordered magnetic fields. The line broadening increases linearly with a weak external magnetic field applied parallel to the surface, and is depth-independent up to 45 nm from the ] n Ag/YBa2Cu3O7−δ interface. The magnitude of the line broadening extrapolated to zero applied o field is less than 0.2 G, and is close to nuclear dipolar broadening in the Ag. This indicates that c any fieldsdueto broken time-reversal symmetry are less than 0.2 G. - r p PACSnumbers: 74.25.Ha,74.72.-h,76.60.-k u s . The highly unconventional electronic properties of conductance peak (ZBCP) in tunneling spectra) that t a high-T superconductors(HTSC)giverisetonovelinter- may condense into a superfluid of different symmetry c m facialphenomenathatareimportantfundamentally(e.g. than the bulk,12 e.g. s-wave, or TRSB states such as d- inprobingsymmetryofthebulkelectronicgroundstate); dx2−y2+isanddx2−y2+idxy.13 OtheroriginsofaTRSB as well as in applications (e.g. junction-based devices). state include, frustrated OP near grain boundaries or n While significantprogresshasbeen made in understand- junctions,3 the interaction of a self-induced magnetic o c ingthe transportpropertiesofsuchinterfaces,verylittle field caused by the OP distortion with the OP itself,14 [ is knownabout their magnetic properties,in partdue to and finite size effects in thin films.15,16 1 the lack of an appropriate local magnetic probe. A par- Experiments to detect TRSB near surfaces have v ticularly unresolved issue is whether the superconduct- yielded controversial results. Carmi et al. measured a 0 ing order parameter (OP) breaks time-reversal symme- weak spontaneous magnetic field using SQUID magne- 3 try (TRS) near the surface.1,2 A characteristic feature tometryneartheedgesofepitaxialc-axisorientedYBCO 9 of TRS-breaking (TRSB) is spontaneous magnetization; films below T .17 Spontaneous Zeeman-like splitting of 0 c however,Meissnerscreeningcancelsthisinthebulk,lim- the ZBCP, due to TRSB, has been seen in some tun- . 1 iting the associated fields to within the magnetic pene- neling measurements,18 but not inothers.19 Phase sensi- 0 tration depth of defects and interfaces.3 To measure this tive measurements, which could also detect spontaneous 1 magnetization directly, one requires a sensitive depth- flux,showednoevidenceofaTRSBstate.20 Aresolution 1 dependent local magnetic probe. In this paper we use a to this disagreement requires more direct information of : v novel technique based on depth-controlled beta-detected interface magnetism in cuprates using a local magnetic Xi nuclearmagneticresonance(β-NMR)tosearchforTRSB probe that can locate the origin and distribution of any order near the surface of the high-Tc cuprate supercon- such fields on the atomic scale. r a ductor YBa2Cu3O7−δ (YBCO). In this study, we present direct measurements of the In contrast to Ru-based and heavy fermion magneticfieldneartheinterfaceofsilverandYBCOfilms superconductors,4,5 there is no evidence for TRSB using β-NMR. We measure the field distribution using a in the bulk of HTSC cuprates, particularly YBCO,6 highly spin polarized 8Li+ beam implanted into a thin where OP-phase-sensitive measurements have estab- silveroverlayerdepositedonYBCO.We findaninhomo- lished spin-singlet dx2−y2-wave order.7 There are some geneousbroadeningofthefielddistributionbelowthe Tc indications of weak magnetism,8,9 some of it related to of YBCO, with the probe ions stopping at an average the CuO chains in YBCO,10 or to vortex cores above distance of 8 nm from the Ag/YBCO interface. By ex- the lower critical field H .11 Surface scattering of the trapolating the line broadening to zero applied field we c1 Cooper pairs from most surfaces perpendicular to the find the mean internal field is very close to experimental CuO2 planes frustrates dx2−y2-wave order within a few resolution determined by the Ag nuclear dipolar fields. coherence lengths of the interface.3 This leaves a high In this way we obtain an upper limit of 0.2 G for any density of mobile holes (as evidenced by the zero bias spontaneous fields of electronic origin. 2 The experiment was performed using β-NMR of 8Li+ at the ISAC facility at TRIUMF in Vancouver, Canada. 0 For details, see Refs.21,22 Similar to NMR, to measure sity3000 Ag YBCO the resonance, we apply a field along the spin polariza- T=100 K n tion (here in the plane of the films) B0 = B0yˆ (with y−0.02 g de2000 5 ≤ B0 ≤ 150 G) and follow the polarization of 8Li+ as etr ppin1000 afunctionofthe frequencyω ofasmalltransverseradio- m−0.04 Sto 0 frequency (RF) field of amplitude B ∼ 1 G, applied m 0 10 20 30 1 Depth (nm) along the xˆ-axis. The resonance condition is ω = γB , y loc s 0 where for 8Li+, γ = 0.63015 kHz/G, and Bloc is the lo- A 2∆ cal field. At this ω, the polarization, initially parallel to the yˆ-axis, is averaged by precession in the oscillat- −0.02 T=4.3 K ing field. Inthe absenceofdynamic effects, the resulting resonance is generally broadened by any static inhomo- B =10 G −0.04 0 geneity in the local magnetic field. Thus, the lineshape offers a detailed measurement of the distribution of lo- 2 4 6ω(kHz)8 10 12 calmagneticfieldsinthe sampledvolumedeterminedby the beamspot (∼ 3 mm in diameter) and the implanta- tion profile (see below). FIG. 1: (Color online). Typical β-NMR spectra taken by A novel pulsed RF mode was used in this study. The implanting 2 keV 8Li+ into Ag/YBCO(110), in an external RFfieldisappliedin90o pulsesrandomizedinfrequency field of B0 = 10 G (FC) applied along the surface of the order, instead of the continuous wave (cw) mode com- film. Solid lines are fits to a Lorentzian of HWHM∆. Inset: monly used.22 In randomly pulsed RF (RPRF), one ob- simulated implantation profile using TRIM.SP for 8Li+ of 2 keVin15nmofAgonYBCO.26 The8Li+stopsatanaverage tains a high signal to noise ratio with minimal contribu- depthof 8 nm away from theAg/YBCO interface. tion from both variations in the incoming 8Li+ rate and cw power broadening. Because of the limited B , the 1 RPRF mode is suitable for narrowlines up to a few kHz in width. Fig. 1 shows the resonancespectrum at 100 K (STO) substrate measuring 8×6 mm. The (103) film with a half width athalf maximum(HWHM) ofapprox- (T = 84 K) was grown under similar conditions. Three c imately ∆0 ≈ 0.15 kHz (or 0.24 G). Similar cw spectra (001) films were also studied, (i) one with Tc = 88.7 can be at least twice as broad,21 making it difficult to K grown on (001) STO under similar conditions as the resolve a small additional broadening. (110),and(ii)two films (T ∼88.0K)grownby thermal c Major advantages of β-NMR in detecting TRSB are co-evaporationon8×10mmLaAlO3. The films areepi- the abilities (i) to implant the probe 8Li+ at low energy taxialandatomicforcemicroscopywasusedtocharacter- into thin layered structures and (ii) to control the mean ize the surface roughness which is in the range 6-12 nm. implantationdepthonthenanometerscale. Inthisstudy, Allsampleswerecappedex-situwith15nmofAg,except 8Li+ is preferentially implanted into the thin silver over- oneofthelasttwowhichwascappedwith50nm,byDC layer evaporated onto YBCO, instead of the supercon- sputtering 99.99%Ag at room temperature under an Ar ductor itself. Stopping the probes in the overlayer elim- pressure of 30 mtorr at a rate of 0.5 ˚A/s while rotating inates the possibility of the probe perturbing the super- the sample to ensure uniformity. The 8Li+ implantation conductor. Also,the8Li+ nucleuscarriesasmallelectric energy was varied so that the probe ions are implanted quadrupolemoment, so the spectrumin the Ag is freeof at averagedepths ranging from8 to 43 nm. The inset of anyquadrupolesplittings whicharepresentinnoncubic Fig. 1,showsthesimulatedstoppingprofileof2keV8Li+ YBCO.21 Consequently the resonanceof8Li+ in Ag, be- ions in 15 nm of Ag on YBCO using TRIM.SP.26 Here low1 Tesla,is single narrowline witha a T-independent the average probe-YBCO distance is ∼8 nm. At 2 keV, linewidth attributed to nuclear dipole broadening from about 20% of 8Li+ ions stop in the YBCO, yielding no the small nuclear moments of 107Ag and 109Ag.22 From associatedNMRsignalduetofastspin-latticerelaxation basic magnetostatics, any inhomogeneous fields in the at low fields. To measure the NMR resonance in Ag, a YBCO layer will decay exponentially outside the super- smallfieldisrequired,andourmeasurementsweretaken conductor as exp(−2aπz), where a is the length scale of by field-cooling (FC) in a small field B0 or zero field- the inhomogeneity.23–25 Thus we can only detect such cooling (ZFC). Residual magnetic fields were reduced to fields provided our probe-YBCO stopping distance z is lessthan30mGnormaltothesurfacewhenFC,orinall . a . Any static field inhomogeneities arising in this directions when ZFC. The samples were aligned parallel way2πwill broadenthe intrinsic resonanceof the Ag layer. to the field with an accuracy of at least 0.5◦. The measurements presented here were carriedout on Fig. 1 shows two resonances at 100 K and 4.3 K in (110),(103),and(001)-orientedYBCOfilmscappedwith Ag/YBCO(110). Above T , the resonances are all iden- c 15 or 50 nm of Ag. The (110) film (T = 86.7 K) was tical and show negligible differences in amplitude and c grown by RF magnetron sputtering on a (110) SrTiO linewidth, and are indistinguishable from those intrinsic 3 3 0.5 1 Ag/YBCO(110) Mean depth (nm) 0 25 50 0.4 T BA=g10 G 0.8 ∆∆− (kHz)− (kHz)0000..1155 100 AGg YBCO 0.3 c 0 z) 0.6 0 K)0 K) 10 G T=10 K H ∆∆(1(1 000 5 10 15 0.2 k E (keV) z) ( 0.4 H ∆ 0.1 k ( Ag/YBCO(001) ∆ 0.4 Ag 0.2 T=100 K T B =10 G 0 0.3 c 0 0 50 100 B (G) 0 0.2 FIG. 3: (Color online). The HWHM of the resonance in Ag/YBCO(001)at10KtakenafterZFC.Thedashedlinesare 0.1 linear fits. Inset: energy and depth dependenceof the excess 0 100 200 300 T (K) HWHMat10K(∆(10K)−∆0)inthe50nmAg/YBCO(001) sample at applied fields 10 and 100 G. The resonance at all FIG. 2: (Color online). The T-dependence of the energies is dueto thefraction of 8Li+ landing in Ag film. HWHM, ∆, of the resonance of 2 keV 8Li+ implanted into Ag/YBCO(110), Ag/YBCO(001), and Ag. The data on the Ag/YBCO(110) and Ag film was taken using FC, and ZFC fortheAg/YBCO(001). Thewidthswere independentofFC tent with some tunneling measurements.18 In contrast, orZFC.ThedashedlinesrepresenttheaverageAgwidth∆0, the broadening here has an onset close to Tc. the arrows point to the Tc of the YBCO films, and the solid The line broadeningversusthe externalmagnetic field lines are guideto the eye. in the c-axis sample is displayed in Fig. 3. At 100 K, ∆ is field-independent as expected. At 10 K (ZFC), ∆ increases linearly with the applied field. This field- to Ag. Below Tc, the resonance broadens, therefore is dependent broadening is attributed to inhomogeneous reducedinamplitude. The broadeningis symmetric,un- penetration of the applied field in the form of flux vor- like the field distribution within the bulk of a supercon- tices. Penetration of vortices would not typically occur ductor in an ordered vortex lattice state.27 Such a sym- at these fields well-below H ,32 especially since the de- c1 metric broadening is typical of a more disordered vortex magnetization factor for the field parallel to the film is distribution.28–30 The HWHM, ∆, of a single Lorentzian very small. However, at the interface the flux lines may fit to both (110) and (001) samples is plotted in Fig. 2. penetrate more easily due to suppression of the d-wave It is nearly T-independent above Tc, consistent with the order near twin or grain boundaries.33,34 Moreover, sur- smallnucleardipolarbroadeninginAg. Itisthesamein face roughness suppresses the Bean-Livingston surface both samples and comparable to a control sample of Ag barrier, and vortices may nucleate at fields H ≤ H .35 c1 grownonaninsulatingSTOsubstrateundersimilarcon- SurfacevorticeshavebeenobservedinYBCOcrystalsin ditions (open circles, Fig. 2). Below Tc, the resonance fields as small as 4 G applied parallel to the surface.36 broadens, signaling the appearance of disordered static At suchlow fields, the vortexspacing d is of the orderof magnetic fields in the underlying YBCO. fewmicrons.37 Outsidethesuperconductor,theresulting ∆ below T is slightly larger in Ag on the (110) film field inhomogeneity leads to a depth independent broad- c than the (001) film. In an applied field of 10 G, the ad- ening, since z ≪ d, consistent with our results (inset of ditional broadening, ∆−∆ , at ≈ 5 K is already very Fig. 3). 0 small, about 0.25 kHz for the (110) film, and 0.15 kHz The T-dependence ofthe linewidth in Fig. 2 is consis- for the (001) film. This broadening is clearly caused by tentwithlinebroadeningduetovorticesbeneaththesur- the superconducting YBCO, since it is absent above T facesinceonewouldexpectsuchvortexpenetrationclose c and in the Ag film without YBCO. It is, however, not toT ,andthatitwouldincreaseasthetemperaturefalls c accompanied by a resonance shift (see Fig. 1). The res- due to the decreasing magnetic penetration depth in the onance frequency is constant from 300 K to 5 K in all superconductor.38,39 Field inhomogeneities are also ex- films, independent of FC or ZFC cooling. This shows pectedfromlocalvariationsofthe shieldingcurrentden- there is no superconducting proximity effect in the Ag sity due to surface roughness as well as twin and grain layerwhere an induced Meissner shielding ofthe applied boundaries.40 This inhomogeneity will be enhanced by field leads to a diamagnetic resonance shift, e.g. as seen increasing the field or decreasing the temperature below recently in Ag/Nb heterostructures.31 The temperature- T ; due to a higher current density with pronounced lo- c dependent broadening below T is not linked to TRSB, cal variations. This would lead to a temperature and c as the latter state is expected theoretically to appear at field-dependent broadeningas observedinFigs. 2 and 3. a second transition temperature T ≪ T ,3,12,13 consis- It is possible that flux penetration and current density c2 c 4 inhomogeneities near the surface could be related to the iments where much stronger spontaneous fields are pre- apparent dead layer seen in HTSC and other supercon- dicted to cause the ZBCP splitting.18 ductors using low-energy µSR.41,42 Further experiments In conclusion, we have conducted a depth-resolved β- on atomically flat surfaces may help elucidate the ori- NMR study of the field distribution near the interface gin of the magnetic field inhomogeneities reported here. of Ag and YBCO films. In all films we find additional However the field-dependent source of the line broaden- broadeningoftheNMRresonancebelowT ,signalingthe ing is not central to the current study. c appearance of disordered internal static fields in YBCO. The main resultofthis study is the zerofield extrapo- We established an upper limit of 0.2 G for TRSB fields lation of the broadening at low temperature which is an at low temperature. This rules out any straightforward estimateoftheTRSBfields. Thebroadeningat10Kex- interpretation based on the TRSB state that was sug- trapolatesto∆ ≈0.2kHzinthe(001)and(103),and B=0 gestedbytunnelingmeasurementstobecharacterizedby 0.3 kHz in (110) (not shown). This ∆ is marginally B=0 a much larger spontaneous magnetic field.18,19 We have higherthanthenormalstatebroadening,∆ ≈0.15kHz. 0 shownthatsuchaputativestatemustbeconsistentwith Thus, the net internal field in the superconducting state asmallupperlimitonthewidthofthemagneticfielddis- extrapolatedtozeroappliedfield,∆ −∆ islessthan B=0 0 tributionintheadjacentAg. Wehavealsodemonstrated 0.15 kHz (or ∼ 0.2 G) in all orientations. Part of the that β-NMR can be used as a sensitive magnetic probe difference is due to the slight broadening of the Ag res- of spontaneous magnetic fields near an interface. onance upon cooling from 100 to 5 K, as seen in Fig. 2 (open circles). Thus, the additional broadening at zero We thank R. Abasalti, D. Arseneau, S. Daviel, P. field ∆ −∆ , is anestimate of the spontaneousmag- Dosanjh, and W. K. Park for technical assistance. This B=0 0 netic field at the Ag/YBCO interface, and has an upper workissupportedbyCIFAR,NSERC;andNRCthrough limit of 0.2 G. 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