Heat Transport in a Strongly Overdoped Cuprate: Fermi Liquid and a Pure<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi></mml:math>-Wave BCS Superconductor

Proust, Cyril; Boaknin, Etienne; Hill, R. W.; Taillefer, Louis; Mackenzie, A. P.

doi:10.1103/physrevlett.89.147003

Cited by 239 publications

(294 citation statements)

References 23 publications

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“…For both compounds, the sharp jump of =T near H c2 indicates a first-order phase transition. Similar data of the clean s-wave superconductor Nb [37] and an overdoped d-wave superconductor Tl-2201 [38] at T ! 0 are also shown for comparison.…”

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confidence: 56%

“…However, for Ce 2 PdIn 8 , l % 420 A has been estimated [29], roughly one order smaller than CeCoIn 5 . In this case, vortex scattering does not show a significant effect, and ðHÞ=T of Ce 2 PdIn 8 behaves more like the typical d-wave superconductor Tl-2201 at low field [38].…”

mentioning

confidence: 90%

“…4. For comparison, similar data of the clean s-wave superconductor Nb [37] and an overdoped d-wave superconductor Tl-2201 [38] at T ! 0 are also shown.…”

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Field-Induced Quantum Critical Point and Nodal Superconductivity in the Heavy-Fermion SuperconductorCe2PdIn8

et al. 2011

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The in-plane resistivity and thermal conductivity of the heavy-fermion superconductor Ce 2 PdIn 8 single crystals were measured down to 50 mK. A field-induced quantum critical point, occurring at the upper critical field H c2 , is demonstrated from the ðTÞ $ T near H c2 and ðTÞ $ T 2 when further increasing the field. The large residual linear term 0 =T at zero field and the rapid increase of ðHÞ=T at low field give evidence for nodal superconductivity in Ce 2 PdIn 8 . The jump of ðHÞ=T near H c2 suggests a first-order-like phase transition at low temperature. These results mimic the features of the famous CeCoIn 5 superconductor, implying that Ce 2 PdIn 8 may be another interesting compound to investigate for the interplay between magnetism and superconductivity. The interplay between magnetism and superconductivity has been a central issue for heavy-fermion superconductors [1], high-T c cuprates [2], and iron pnictides [3]. Among them, one particularly interesting case is the heavy-fermion superconductor CeCoIn 5 , with T c ¼ 2:3 K at ambient pressure [4]. Its superconducting gap has d-wave symmetry [5,6]. While there is no static magnetism in CeCoIn 5 at zero field, a field-induced antiferromagnetic (AF) quantum critical point (QCP) has been clearly demonstrated by resistivity and specific heat measurements [7,8]. Initially, it was very puzzling why the AF QCP is located right at the upper critical field H c2 .Meanwhile, the observations of first-order phase transition at low temperature and H c2 and a second magnetization and specific heat anomaly well inside the superconducting state have been interpreted as the signature of a Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) superconducting state [5,[9][10][11][12]. The novel FFLO state with broken spatial symmetry was predicted in the 1960s [13,14], but it has never been experimentally verified before. The possible FFLO state at the low-temperaturehigh-field (LTHF) corner of the H À T phase diagram of CeCoIn 5 has stimulated extensive studies [15].More recently, NMR, neutron scattering, and muon spin rotation ( SR) experiments have provided clear evidence for a field-induced magnetism in this LTHF part of the phase diagram [16][17][18][19][20][21]. It was identified as a spin-density wave (SDW) order with an incommensurate modulation Q ¼ ð0:44; 0:44; 0:5Þ. Interestingly, this SDW order disappears in the normal state above H c2 , showing that magnetic order and superconductivity in CeCoIn 5 are directly coupled [16,17]. While this has nicely explained the field-induced AF QCP at H c2 [7,8], the physical origin of this LTHF superconducting Q phase is still under debate. For example, Yanase and Sigrist have suggested that the incommensurate SDW order is stabilized in the FFLO state by the appearance of the Andreev bound state localized around the zeros of the FFLO order parameter [22]. Aperis, Varelogiannis, and Littlewood have argued that the Q phase is a pattern of coexisting condensates: a d-wave singlet superconducting state, a staggered -triplet superconducting s...

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Field-Induced Quantum Critical Point and Nodal Superconductivity in the Heavy-Fermion SuperconductorCe2PdIn8

et al. 2011

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“…Similarly, the resistivity increases with T as T 2 in the overdoped region [33][34][35][36]. Here, conductivity should be caused by electron pair transfer, since there are no Cu(II) ions available.…”

Section: Contribution From Disproportionation Pseudogapmentioning

confidence: 99%

Conductivity in Cuprates Arises from Two Different Sources: One-Electron Exchange and Disproportionation

Larsson

2016

J Supercond Nov Magn

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Simulation of the resistivity in the normal state of doped La 2−x Sr x CuO 4 has been performed using a hopping model based on Marcus theory. The results are in substantial agreement with experimental results. At oxidative doping, Cu(III) sites are formed and electron mobility possible due to hopping: Cu(III)Cu(II) → Cu(II)Cu(III) (one-electron exchange). In the underdoped, non-metallic region, the resistivity (ρ) decreases from almost insulation at T = 0 to a minimum at about T = 100 K. ρ then increases more than linearly with T (∼ T 3/2 ) in the region 100 < T < 500 K. A photo-induced metal-metal (MM) charge transfer transition at 2 eV 2Cu(II) + hν → Cu(I) + Cu(III) is responsible for the strong absorption in the visible spectrum of La 2 CuO 4 . The down-shift of spectral density with doping (x) in La 2−x Sr x CuO 4 depends on the appearance of Cu(III) sites which makes optical as well as thermal one-electron exchange transitions possible with lower energy. Disproportionation occurs spontaneously for x > 0.06, opening up for electron pair formation. Configuration interaction between two-electron states of low chemical potential, but strong vibrational coupling, gives rise to the superconductor and pseudogaps. Data from photo-induced conductivity and absorption spectra are used in the simulation, which gives results in good agreement with experiments. Possible explanations for Raman and MIR absorption suggest themselves.

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“…Theoretically, we derive a new general analytical expression for the interlayer conductivity σ ⊥ in a tilted H that incorporates basal-plane anisotropy. For T > 4 K, the AMRO can only be explained by inclusion of an anisotropic scattering rate 1/τ whose anisotropy grows with T. Significantly, the anisotropy in 1/τ and its T dependence up to 55 K can quantitatively account for both the robust linear-in-T component to the in-plane resistivity ρ ab and the T-dependent Hall coefficient R H over the same temperature range 14,15 . These anomalous behaviours are not characteristic of a simple Fermi liquid, which is often the starting point for modelling overdoped cuprates.…”

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Anisotropic scattering and anomalous normal-state transport in a high-temperature superconductor

et al. 2006

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T he metallic state of high-temperature copper-oxide superconductors, characterized by unusual and distinct temperature dependences in the transport properties 1-4 , is markedly different from that of textbook metals. Despite intense theoretical efforts 5-11 , our limited understanding is impaired by our inability to determine experimentally the temperature and momentum dependence of the transport scattering rate. Here, we use a powerful magnetotransport probe to show that the resistivity and the Hall coefficient in highly doped Tl 2 Ba 2 CuO 6+δ originate from two distinct inelastic scattering channels. One channel is due to conventional electronelectron scattering; the other is highly anisotropic, has the same symmetry as the superconducting gap and a magnitude that grows approximately linearly with temperature. The observed form and anisotropy place tight constraints on theories of the metallic state. Moreover, in heavily doped non-superconducting La 2−x Sr x CuO 4 , this anisotropic scattering term is absent 12 , suggesting an intimate connection between the origin of this scattering and superconductivity itself.The in-plane properties of layered metals can sometimes be obtained from measurements of out-of-plane quantities. For example, angular magnetoresistance oscillations (AMRO), which are angular variations in the interlayer resistivity ρ ⊥ induced by rotating a magnetic field H in a polar plane relative to the conducting layers, can provide detailed information on the shape of the in-plane Fermi surface (FS) in layered metals. Here we resolve for the first time, the momentum (k) and energy (ω or T) dependence of the in-plane transport lifetime τ in an overdoped cuprate Tl 2 Ba 2 (Ca 0 )Cu 1 O 6+δ (Tl2201) through advances, both experimental and theoretical, in the AMRO technique. Experimentally, we extend the temperature range of previous AMRO measurements on overdoped Tl2201 13 (with a superconducting transition temperature T c = 15 K) by more than one order of magnitude. Theoretically, we derive a new general analytical expression for the interlayer conductivity σ ⊥ in a tilted H that incorporates basal-plane anisotropy. For T > 4 K, the AMRO can only be explained by inclusion of an anisotropic scattering rate 1/τ whose anisotropy grows with T. Significantly, the anisotropy in 1/τ and its T dependence up to 55 K can quantitatively account for both the robust linear-in-T component to the in-plane resistivity ρ ab and the T-dependent Hall coefficient R H over the same temperature range 14,15 . These anomalous behaviours are not characteristic of a simple Fermi liquid, which is often the starting point for modelling overdoped cuprates. We discuss the consequences of these findings for our understanding of the normal-state transport in cuprates.As described in the Supplementary Information, detailed azimuthal and polar-angle-dependent AMRO data were taken at 4.2 K and 45 T and fitted to the Shockley-Chambers tube integral form of the Boltzmann transport equation, modified for a quasitwo-dimensional (quasi...

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Heat Transport in a Strongly Overdoped Cuprate: Fermi Liquid and a Pured-Wave BCS Superconductor

Cited by 239 publications

References 23 publications

Field-Induced Quantum Critical Point and Nodal Superconductivity in the Heavy-Fermion SuperconductorCe2PdIn8

Field-Induced Quantum Critical Point and Nodal Superconductivity in the Heavy-Fermion SuperconductorCe2PdIn8

Conductivity in Cuprates Arises from Two Different Sources: One-Electron Exchange and Disproportionation

Anisotropic scattering and anomalous normal-state transport in a high-temperature superconductor

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