2009 METALS, SUPERCONDUCTORS...Thermo-electric study of Fermi surface reconstruction in YBa 2 Cu 3 O yThe Seebeck and Nernst coeffici<strong>en</strong>ts S and ν of the high-T c superconductor YBa 2 Cu 3 O y (YBCO) were measured ina single crystal with a hole conc<strong>en</strong>tration p = 0.12 in magneticfields up to H = 28 T. For temperatures down to 9 K, νbecomes indep<strong>en</strong>d<strong>en</strong>t of field by H ≃ 30 T, showing that byth<strong>en</strong> the Nernst signal due to superconducting fluctuationshas become negligible. In this field-induced normal state,S/T and ν/T are both large and negative in the T → 0 limit.The magnitude of S/T is consist<strong>en</strong>t with the small Fermisurface pocket previously detected via quantum oscillationsin YBCO at a similar doping and its negative sign confirmsthat the pocket is electron-like. For more information see[J. Chang et al., arXiv:0907.5039].Our Nernst measurem<strong>en</strong>ts in YBCO reveal that the quasiparticlecontribution in cuprates can be as large as the vortexcontribution, on which most of the att<strong>en</strong>tion has be<strong>en</strong> focuseduntil now, see for example [Yayu Wang et al., Phys.Rev. B 73, 024510 (2006)]. We expect this quasiparticlecontribution, which can be of either sign, to dominate theNernst signal well above T c , as found in the hole-dopedcuprate Eu-LSCO [O. Cyr-Choiniere et al., Nature 458, 743(2009)] and the electron-doped cuprate Pr 2−x Ce x CuO 4 [P.Li and R.L. Gre<strong>en</strong>e, Phys. Rev. B 76, 174512 (2007)],where quasiparticle and vortex signals have also be<strong>en</strong> dis<strong>en</strong>tangled.The sample was an uncut, unpolished, detwinned crystal ofYBCO grown, at UBC in Vancouver (Canada), in a nonreactiveBaZrO 3 crucible from high-purity starting materials.The dopant oxyg<strong>en</strong> atoms (y = 6.67) were made to orderinto an ortho-VIII superstructure, yielding a superconductingtransition temperature T c = 66.0 K. Transport propertieswere measured via gold evaporated contacts (resistance< 1 Ω), in a six-contact geometry. The thermal gradi<strong>en</strong>t∆T was applied along the a-axis and the field H along thec-axis. For a detailed <strong>des</strong>cribtion of the experim<strong>en</strong>tal setupsee [O. Cyr-Choiniere et al., Nature 458, 743 (2009)].The Nernst and Seebeck coeffici<strong>en</strong>ts are plotted as a functionof magnetic field in Fig. 1. At T >80 K, the Seebeckcoeffici<strong>en</strong>t S is ess<strong>en</strong>tially field indep<strong>en</strong>d<strong>en</strong>t. At T
METALS, SUPERCONDUCTORS... 2009Anomalous criticality in the electrical resistivity of a high-T c cuprateAn important theme in strongly correlated electron systemsis quantum criticality and the associated quantum phasetransitions that occur at zero temperature upon tuning anon-thermal control parameter g (e.g. pressure, magneticfield H or composition) through a critical value g c . Onefeature of such a system is the influ<strong>en</strong>ce that critical fluctuationshave on the physical properties over a wide region inthe (T , g) phase diagram above the quantum critical point(QCP), inside which the system shows marked deviationsfrom conv<strong>en</strong>tional Landau Fermi-liquid behaviour. A numberof candidate non-Fermi-liquid systems have emerged,particularly in the heavy-fermion family, though there areothers, e.g. certain transition metal-oxi<strong>des</strong>, that displaysimilar characteristics.The physics of copper-oxide high temperature superconductorsmay also be governed by proximity to a QCP.The g<strong>en</strong>eric temperature-doping (T , p) phase diagram resemblesthat se<strong>en</strong> in the heavy-fermions, with an appar<strong>en</strong>tfunnel-shaped region that either pierces or skirts the superconductingdome. Above this region, cuprates display anin-plane resistivity ρ ab that varies linearly with temperatureover a wide temperature yet narrow doping range. ThisT -linear resistivity has be<strong>en</strong> widely interpreted, in tandemwith other anomalous transport properties, as a manifestationof scale-invariant physics borne out of proximity to theQCP. This viewpoint has remained untested, largely due tothe high upper critical field H c2 values in hole-doped high-T c cuprates that restrict access to the important limiting lowtemperatureregion below T c (p).In our experim<strong>en</strong>t, we employed a combination of persist<strong>en</strong>tand pulsed high magnetic fields to expose the normalstate of La 2−x Sr x CuO 4 (LSCO) over a wide dopingand temperature range and studied the evolution of ρ ab (T )with carrier d<strong>en</strong>sity, from the slightly underdoped (p =0.15) to the heavily overdoped (p = 0.33) region of thephase diagram. Our measurem<strong>en</strong>ts revealed the preservationof the T -linear resistivity in all superconducting samplesto temperatures as low as 1.5 K [Cooper et al., Sci<strong>en</strong>ce323, 603 (2009)]. Indeed, for all dopings, the ρ ab (T )curves for T < 200 K could be fitted either to the expressionρ ab (T ) = α 0 + α 1 T + α 2 T 2 or to a parallel-resistorformalism1/ρ ab (T ) = 1/[α 0 + α 1 T + α 2 T 2 ] + 1/ρ max withρ max (= 900 ± 100µΩcm). The inclusion of ρ max helps toaccount smoothly for the escalation of ρ ab (T ) to highertemperatures and makes the values of α 1 and α 2 ins<strong>en</strong>sitiveto the temperature range of fitting.Figure 75: Doping evolution of the temperature-dep<strong>en</strong>d<strong>en</strong>t coeffici<strong>en</strong>tsof ρ ab (T ). (A) Doping dep<strong>en</strong>d<strong>en</strong>ce of α 1 , the coeffici<strong>en</strong>tof the T -linear resistivity compon<strong>en</strong>t. (B) Doping dep<strong>en</strong>d<strong>en</strong>ceof α 2 , the coeffici<strong>en</strong>t of the T 2 resistivity compon<strong>en</strong>t. Inboth panels, solid squares are coeffici<strong>en</strong>ts obtained from least--square fits of the ρ ab (T ) curves for T < 200 K to the expressionρ ab (T ) = α 0 + α 1 T + α 2 T 2 , whilst the filled circles are obtainedfrom fits over the same temperature range to a parallel-resistor-formalism1/ρ ab (T ) = 1/[α 0 +α 1 T +α 2 T 2 ]+1/ρ max withρ max = 900± 100 µΩcm. The op<strong>en</strong> symbols are obtained fromcorresponding fits made to the ρ ab (T ) data of [Ando et al., Phys.Rev. Lett. 93, 267004 (2004)] betwe<strong>en</strong> 70 K and 200 K. Thedashed lines are gui<strong>des</strong> to the eye.As shown in the top panel of figure 75, for both sets ofdata and analysis, α 1 is se<strong>en</strong> to grow rapidly with decreasingp, attaining a maximum value of around 1 µΩcm/K atp c = 0.185 ± 0.005. The preservation of T -linear resistivityin LSCO over such a wide doping range is wholly unexpectedand contrasts markedly with what is observed inother candidate quantum critical systems. Our analysis alsoreveals (figure 75) that the magnitude of the T -linear termscales monotonically with T c on the strongly overdopedside but saturates, or is maximal, at a critical doping levelp crit ∼ 0.19 at which superconductivity itself is most robust.The observation of a singular doping conc<strong>en</strong>tration inLSCO close to p = 0.19 at which a bulk transport propertyundergoes a fundam<strong>en</strong>tal change at low T l<strong>en</strong>ds support toearlier thermodynamic studies that showed the pseudogaptemperature T ∗ or <strong>en</strong>ergy scale ∆ g vanishes inside the superconductingdome, rather than at its apex. The magnitudeof α 1 at p = p crit , coupled with other features of the data,suggests that the op<strong>en</strong>ing of the pseudogap coinci<strong>des</strong> withthe loss of quasiparticle coher<strong>en</strong>ce for states near the zoneboundaries.B. Vignolle, C. ProustR. A. Cooper, Y. Wang, N. E. Hussey (University of Bristol, Bristol, UK)56
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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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2009Magneto-Science105
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MAGNETO-SCIENCE 2009Study of the in
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MAGNETO-SCIENCE 2009Magnetohydrodyn
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MAGNETO-SCIENCE 2009112
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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