2009 METALS, SUPERCONDUCTORS...High-field metamagnetism in the antiferromagnet CeRh 2 Si 2CeRh 2 Si 2 is a heavy-fermion antiferromagnet which canbe driv<strong>en</strong> to a magnetic instability either by applying pressureor in a high magnetic field. It orders antiferromagneticallyat a second-order phase transition T N = 36 K, afirst-order phase transition occurring at a lower temperatureT 1,2 = 26 K, below which the antiferromagnetic structure ismodified [Graf et al., Phys. Rev. B 57, 7442 (1998)]. Applicationof hydrostatic pressure induces a quantum phasetransition to a paramagnetic Fermi liquid regime at around11 kbar, and unconv<strong>en</strong>tional superconductivity was evid<strong>en</strong>cedin the vicinity of the quantum phase transition,below a critical temperature going up to TSCmax ≈ 0.4 K[Movshovich et al., Phys. Rev. B 53, 8241 (1996)]. Here,we pres<strong>en</strong>t a careful study of the magnetic field-temperaturephase diagram of CeRh 2 Si 2 wh<strong>en</strong> a magnetic field is appliedalong the easy-axis c. This study was made combiningtransport, torque and dilatometry experim<strong>en</strong>ts using thepulsed magnetic fields g<strong>en</strong>erated at the LNCMI-Toulouse.Figure 81 shows a plot of the field-derivative of the torqueversus magnetic field of CeRh 2 Si 2 , at temperatures betwe<strong>en</strong>4.2 and 24 K. The torque signal is proportional to MH sinθ,where M is the magnetization and θ the small angle betwe<strong>en</strong>the magnetic field H and the easy axis c of the sample.The field-induced polarization of the system is accompaniedat 4.2 K by two successive minima in the fieldderivativeof the torque, which are the characteristics oftwo first-order transitions, separated by 0.5 T, at H 2,3 andH c ≃ 26 T. From figure 81, it is clear that the two transitionsH 2,3 and H c merge at about 20 K into a single first-ordertransition H c . In our data, a first-order-like anomaly at H ccan be se<strong>en</strong> up to 23 K, which is characterized by a symmetricpositive anomaly in the field-derivative of the torque.Above 24 K, a second-order-like anomaly has replaced thefirst-order-like anomaly, and the torque versus field data arecharacterized by an asymmetric step-like anomaly in thefield-derivative of the torque.Our torque data are in good agreem<strong>en</strong>t with our transport,thermal expansion, and magnetostriction measurem<strong>en</strong>ts(not shown here), but also with studies performedby Settai et al. [J. Phys. Soc. Jpn. 66, 2260 (1997)], Abeet al. [J. Phys. Soc. Jpn. 66, 2525 (1997)], and Demuer,Sheikin et al. [to be published]. This study permitted todraw the magnetic field-temperature phase diagram of thesystem, indicating the pres<strong>en</strong>ce of three distinct antiferromagneticphases (see figure 82). The possibility of a tetracriticalpoint at around (24 T, 20 K), where the four antiferromagnetictransition lines could merge, was suggestedhere. It should be further checked using continuous highmagnetic fields. The temperature dep<strong>en</strong>d<strong>en</strong>ce of the resistivity(not shown here) was also extracted from our pulsedfield scans. This permitted to show that the quadratic coeffici<strong>en</strong>tA of the resistivity is <strong>en</strong>hanced in a rather large Hwindow, of about 10 T, which contrasts with the additionalsharp <strong>en</strong>hancem<strong>en</strong>t of A through the first-order metamagnetictransitions H 2,3 and H c , which are only separated by0.5 T. Finally, a drop of resistivity observed at H c is compatiblewith the idea of a Fermi surface reconstruction.Figure 81: Magnetic field-derivative of the torque versus magneticfield of CeRh 2 Si 2 , for temperatures T ≤ 24 K and magneticfields along c.Figure 82: Magnetic field versus temperature phase diagram ofCeRh 2 Si 2 , with H ‖ c, obtained from resistivity, torque, and thermalexpansion. The insert focuses on the low-temperature part ofthe phase diagram.W. Knafo, D. Vignolles, B. Vignolle, Y. Klein, C. Jaudet, C. ProustD. Aoki, A. Villaume, J. Flouquet (Commissariat à l’Energie Atomique, Gr<strong>en</strong>oble)61
METALS, SUPERCONDUCTORS ... 2009Field Evolution of Coexisting Superconductingand Magnetic Orders in CeCoIn 5Heavy fermion compound CeCoIn 5 is one of the most intriguingexamples of a manifestation of the coexist<strong>en</strong>ce ofmagnetic and superconducting (SC) orders. In the SC stateof this compound application of a magnetic field (H 0 ) inducesa long range magnetic order (LRO), restricted to asmall high-field low-temperature region of the phase diagramjust below H c2 . What is more, this particular region ofthe phase diagram was initially id<strong>en</strong>tified as the first realizationof the long-sought Fulde, Ferrell, Larkin, and Ovchinnikov(FFLO) state, a superconducting state with a nonzeropair mom<strong>en</strong>tum and a spatially modulated order parameter.However, important questions regarding the tru<strong>en</strong>ature of this SC phase, the details of the magnetic orderand its field dep<strong>en</strong>d<strong>en</strong>ce, and the pot<strong>en</strong>tial driving mechanismsof their coexist<strong>en</strong>ce remain unanswered. Therefore,CeCoIn 5 provi<strong>des</strong> a strikingly rich ground to study thecomplex interplay betwe<strong>en</strong> exotic SC and magnetic degreesof freedom. Experim<strong>en</strong>tally, nuclear magnetic resonance(NMR), as a microscopic probe s<strong>en</strong>sitive to both magneticand SC degrees of freedom, provi<strong>des</strong> a powerful tool for theinvestigation of these puzzles.Here we report detailed low temperature (T ) 115 In NMRmeasurem<strong>en</strong>ts on the three distinct In sites in CeCoIn 5 , forH 0 ||[100] [Koutroulakis et al., Phys. Rev. Lett. in press(arXiv:0912.3548)]. The axially symmetric In(1) is locatedin the c<strong>en</strong>ter of the tetragonal Ce planes, while In(2 ac ) andIn(2 bc ) sites correspond to In atoms located on the lateralfaces (parallel and perp<strong>en</strong>dicular to the applied field, respectively)of the unit cell. In figure 83 the H 0 evolutionof the In(2 ac ) spectra at T ≈70 mK is plotted. Loweringthe field below ≈ 11.7 T establishes magnetic LRO, whichis evid<strong>en</strong>t from the broad<strong>en</strong>ing of the In(2 ac ) line into aspectrum with two extrema/peaks and finite signal weightin betwe<strong>en</strong> them. Such spectra are characteristic of incomm<strong>en</strong>surate(IC) LRO along one spatial dim<strong>en</strong>sion. For9.2T H 0 10.2 T, the spectra of all In sites consist of asingle peak, i.e. no signature of the IC state is observed.However, these spectra remain significantly broader thanthe ones for H 0 9.2 T, where the linewidth of all sites canbe adequately <strong>des</strong>cribed by the spatial distribution of magneticfields resulting from the vortex lattice of an Abrikosov(low-field) SC state (lfSC).By NMR we have thus established that at T ≈ 70mK aphase with static magnetic LRO is stabilized for fieldsabove ≈ 10.2T in the SC state. By analyzing the spectraof the differ<strong>en</strong>t In sites, we deduce that the LRO is an incomm<strong>en</strong>suratespin d<strong>en</strong>sity wave (IC-SDW) with mom<strong>en</strong>tsori<strong>en</strong>ted along the ĉ-axis, indep<strong>en</strong>d<strong>en</strong>t of the in-plane H 0ori<strong>en</strong>tation. We fit the data to simulated spectra for the IC-SDW order with magnitude of the local magnetic mom<strong>en</strong>t(µ 0 ) as a fitting parameter. This allows us to map the detailedfield evolution of the mom<strong>en</strong>t. From the analysis ofthe field dep<strong>en</strong>d<strong>en</strong>ce of the NMR shift we show that this IC-SDW coexists with a novel SC state, that is likely an FFLOphase, characterized by an <strong>en</strong>hanced spin susceptibility.Figure 83: Low temperature NMR spectra of In(2 ac ) for variousH 0 ‖â. The frequ<strong>en</strong>cy scale is defined by subtracting ω 0 , the zeroNMR shift frequ<strong>en</strong>cy. N d<strong>en</strong>otes the normal phase, IC the LROphase, eSC the state with strong spin fluctuations, and lfSC theAbrikosov SC state. The LRO is evid<strong>en</strong>t in the fact that the In(2 ac )line broad<strong>en</strong>s into a spectrum with two extrema. Such spectra arecharacteristic of IC LRO along one spatial dim<strong>en</strong>sion. Red solidlines are simulated spectra for the IC-SDW order.By consideration of the spectral lineshapes and spin decoher<strong>en</strong>cetime of differ<strong>en</strong>t In sites for 9.2T H 0 10.2Tat low-T , we conclude that this corresponds to an ‘exotic’SC (eSC) phase characterized by strong AF fluctuations.This might be a ‘true FFLO’ phase, unperturbed by LROmagnetic order. This phase is separated from the above <strong>des</strong>cribedhigh-field, low-T phase by the 2 nd order phase transitionpreviously id<strong>en</strong>tified at H ∗ ≈ 10.2 T from the NMRlineshift data. Such a two step phase transition from lfSCto FFLO (assuming it exists in eSC) and th<strong>en</strong> to the IC statewas theoretically predicted wh<strong>en</strong> spin fluctuations are considered.The IC magnetism can arise in the FFLO state ina d-wave SC as a consequ<strong>en</strong>ce of the formation of Andreevbound states near the zeros of the FFLO order parameter.The formation of the IC LRO is triggered by a large DOSin these bound states.M. Horvatić, C. BerthierG. Koutroulakis, V. F. Mitrović (Brown University, Provid<strong>en</strong>ce, U.S.A.), G. Lapertot, J. Flouquet (INAC, SPSMS, CEAGr<strong>en</strong>oble, France)62
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LABORATOIRE NATIONAL DES CHAMPS MAG
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TABLE OF CONTENTSPreface 1Carbon Al
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Coexistence of closed orbit and qua
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2009PrefaceDear Reader,You have bef
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2009 CARBON ALLOTROPESInvestigation
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2009 CARBON ALLOTROPESPropagative L
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2009 CARBON ALLOTROPESEdge fingerpr
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- Page 84 and 85: 2009 MAGNETIC SYSTEMSY b 3+ → Er
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- Page 108 and 109: 2009 APPLIED SUPERCONDUCTIVITYMagne
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MAGNETO-SCIENCE 2009112
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2009 MAGNET DEVELOPMENT AND INSTRUM
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2009 MAGNET DEVELOPMENT AND INSTRUM
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2009 MAGNET DEVELOPMENT AND INSTRUM
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2009 MAGNET DEVELOPMENT AND INSTRUM
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2009 MAGNET DEVELOPMENT AND INSTRUM
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2009 MAGNET DEVELOPMENT AND INSTRUM
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2009 MAGNET DEVELOPMENT AND INSTRUM
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2009 PROPOSALSProposals for Magnet
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2009 PROPOSALSSpin-Jahn-Teller effe
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2009 PROPOSALSQuantum Oscillations
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2009 PROPOSALSThermoelectric tensor
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2009 PROPOSALSDr. EscoffierCyclotro
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2009 PROPOSALSHigh field magnetotra
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2009 THESESPhD Theses 20091. Nanot
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2009 PUBLICATIONS[21] O. Drachenko,
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2009 PUBLICATIONS[75] S. Nowak, T.
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Contributors of the LNCMI to the Pr
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Institut Jean Lamour, Nancy : 68Ins
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Lawrence Berkeley National Laborato