Two-Dimensional Fermi Liquid Behavior of the Superconductor Sr2RuO4

Maeno, Y.; Yoshida, Kōji; Hashimoto, Hiroaki; Nishizaki, Shin-ya; Ikeda, S.; Nohara, M.; Fujita, Toshizo; Mackenzie, A. P.; Hussey, N. E.; Bednorz, J. G.; Lichtenberg, F.

doi:10.1143/jpsj.66.1405

Cited by 244 publications

(165 citation statements)

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“…We remark that strongly correlated electron systems commonly obey the Kadowaki-Woods relation A ϰ ␥ 2 (25), where ␥ is the electronic coefficient of specific heat and a measure of the effective mass m* of a Landau quasi-particle. Although this relation is complex [and sometimes violated (5)], we note that with large [Ϸ10 3 (17)] resistivity anisotropy in Tl 2 Ba 2 CuO 6ϩx , the obtained A values near H QCP imply enhanced ␥ ϳ 30 mJ/mol-K 2 , comparable with that, e.g., in superconducting Sr 2 RuO 4 (26), where similarly anisotropic A values between the c-axis and in-plane resistivities have been observed. This enhancement of A and a lack of saturation may also be related to the enhanced susceptibility 0 in the overdoped Tl 2 Ba 2 CuO 6ϩx (9).…”

Section: Resultsmentioning

confidence: 76%

Field-induced quantum critical route to a Fermi liquid in high-temperature superconductors

Shibauchi

Krusin‐Elbaum

Hasegawa

et al. 2008

Proc. Natl. Acad. Sci. U.S.A.

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In high-transition-temperature (Tc) superconductivity, charge doping is a natural tuning parameter that takes copper oxides from the antiferromagnet to the superconducting region. In the metallic state above T c, the standard Landau's Fermi-liquid theory of metals as typified by the temperature squared (T 2 ) dependence of resistivity appears to break down. Whether the origin of the non-Fermiliquid behavior is related to physics specific to the cuprates is a fundamental question still under debate. We uncover a transformation from the non-Fermi-liquid state to a standard Fermi-liquid state driven not by doping but by magnetic field in the overdoped high-T c superconductor Tl2Ba2CuO6؉x. From the c-axis resistivity measured up to 45 T, we show that the Fermi-liquid features appear above a sufficiently high field that decreases linearly with temperature and lands at a quantum critical point near the superconductivity's upper critical field-with the Fermi-liquid coefficient of the T 2 dependence showing a power-law diverging behavior on the approach to the critical point. This field-induced quantum criticality bears a striking resemblance to that in quasi-two-dimensional heavy-Fermion superconductors, suggesting a common underlying spin-related physics in these superconductors with strong electron correlations.quantum criticality ͉ strongly correlated electron materials ͉ superconductivity Q uantum criticality refers to a phase transition process between competing states of matter governed not by thermal but by quantum fluctuations demanded by Heisenberg's uncertainty principle (1). It has emerged at the front and center of the physics of strongly correlated electron systems known to host competing quantum orders, and is witnessed by a proliferation of reports on heavy Fermions (2-5), itinerant (quantum) magnets (6), and hightransition-temperature (high-T c ) superconductors (7), with quantum matter tuned (at times arguably) through a transition by pressure, magnetic field, or doping-arguably because one has to rely on long shadows cast by quantum criticality far above zero temperature (8), for, obviously, T ϭ 0 K cannot ever be attained.The often-invoked hallmark of quantum criticality is an unconventional behavior of resistivity. For resistivity contribution, the standard Fermi liquid (FL) theory of metals predicts a quadratic temperature dependence (T) ϭ (0) ϩ AT 2 at low temperatures. In high-T c cuprates, however, the baffling T-linear resistivity over a huge temperature range near optimal (hole) doping has been observed (9), flagging, in this sense, a nonFermi liquid (n-FL) behavior in the metallic state above T c . This has led to new theoretical concepts, some related [e.g., phenomenology of ''marginal Fermi liquid'' (10)] and some unrelated [e.g., ''strange metal'' state (11)] to quantum criticality. In most considerations of cuprates near quantum critical points (QCPs) the tuning parameter is charge doping (1, 10); and although there is some experimental support (7, 12) for a doping-driven QCP, it is still...

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Section: Resultsmentioning

confidence: 76%

Field-induced quantum critical route to a Fermi liquid in high-temperature superconductors

Shibauchi

Krusin‐Elbaum

Hasegawa

et al. 2008

Proc. Natl. Acad. Sci. U.S.A.

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“…The layered perovskite Sr 2 RuO 4 has Fermi liquid properties at low temperatures 8 but the Hall resistance of Sr 2 RuO 4 is strongly temperature dependent. 72 It has a value of about Ϫ1.15ϫ10 Ϫ10 m 3 C Ϫ1 below 1 K and then increases rapidly with temperature and changes sign around 35 K and saturates at high temperatures to a value of about Ϫ0.1ϫ10 Ϫ10 m 3 C Ϫ1 .…”

Section: Hall Resistancementioning

confidence: 99%

“…3 Yet there are also a wide range of materials that have low-temperature properties ͑e.g., the observation of magnetic oscillations such as the de Haas-van Alphen effect͒ consistent with a Fermi liquid but which at higher temperature are inconsistent with a Fermi liquid. These include transition metal oxides, 4 heavy fermions, [5][6][7] strontium ruthenates, 8 the quasi-twodimensional molecular crystals -(BEDT-TTF) 2 X, 9 and the quasi-one-dimensional Bechgaard salts 10 (TMTSF) 2 X ͓BEDT-TTFϭbis͑ethylenedithio͒-tetrathiafulvalene TMTSF ϭtetramethyltetraselenafulvalene͔. In conventional metals the electronic properties are robust up to temperatures of some sizable fraction of the Fermi energy.…”

Section: Introductionmentioning

confidence: 99%

Transport properties of strongly correlated metals: A dynamical mean-field approach

2000

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The temperature dependence of the transport properties of the metallic phase of a frustrated Hubbard model on the hypercubic lattice at half-filling is calculated. Dynamical mean-field theory, which maps the Hubbard model onto a single impurity Anderson model that is solved self-consistently, and becomes exact in the limit of large dimensionality, is used. As the temperature increases there is a smooth crossover from coherent Fermi liquid excitations at low temperatures to incoherent excitations at high temperatures. This crossover leads to a nonmonotonic temperature dependence for the resistance, thermopower, and Hall coefficient, unlike in conventional metals. The resistance smoothly increases from a quadratic temperature dependence at low temperatures to large values which can exceed the Mott-Ioffe-Regel value បa/e 2 ͑where a is a lattice constant͒ associated with mean free paths less than a lattice constant. Further signatures of the thermal destruction of quasiparticle excitations are a peak in the thermopower and the absence of a Drude peak in the optical conductivity. The results presented here are relevant to a wide range of strongly correlated metals, including transition metal oxides, strontium ruthenates, and organic metals.

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“…5 shows metallic (dρ/dT ≥0) behavior for the entire temperature range (80 mK ≤ T ≤ 300 K). The ground state is supposed to be Fermi liquid, as recognized in Sr 2 RuO 4 , 25) because of the temperature dependence of C P (T ) and the Pauli paramagnetic χ(T ). On the basis of the data of ρ(T ) for polycrystals, we cannot draw any conclusions about its absolute value and the precise temperature dependence because of grain-boundary resistance and the mixing of both in-plane and out-of plane behaviors.…”

Section: )mentioning

confidence: 99%

Orbital-Degenerate Paramagnetic Metal Sr₂MoO₄: An Electronic Analogue to Sr₂RuO₄

et al. 2000

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We present the first systematic study on polycrystalline Sr2MoO4 as an electronic analogue to the spin-triplet superconductor Sr2RuO4. The Pauli paramagnetic susceptibility and metallic behaviors of specific heat and electrical resistivity have been observed. The density of states at the Fermi level D(EF) deduced from the results is about three times smaller than that of Sr2RuO4. Any indication of superconductivity intrinsic to Sr2MoO4 has not been observed down to 25 mK, which may correspond to the smaller D(EF). We discuss the origin of the difference in electronic states between Sr2MoO4 and Sr2RuO4.KEYWORDS: molybdate, Sr 2 RuO 4 , strongly-correlated electron systemThe manifestation of spin-triplet superconductivity (SC) in the quasi-two-dimensional Fermi liquid state of Sr 2 RuO 4 has marked an epoch in the study of SC in strongly-correlated electron systems.1) One might expect that ferromagnetic spin fluctuations are essential for the origin of the spin-triplet SC, as observed in superfluid (pwave)3 He. Rice and Sigrist suggested the p-wave pairing in Sr 2 RuO 4 immediately after the discovery of SC. 2)Their idea was based on the existence of ferromagnetism in SrRuO 3 , 3, 4) the three-dimensional (3D) analogue to Sr 2 RuO 4 , and similar values of the Landau parameters to those of Fermi liquid 3 He. Concerning the electronic configuration in Sr 2 RuO 4 , the formal valence number of Ru ion is 4+ with four 4d electrons in three t 2g orbitals (4d xy , 4d yz , 4d zx ). The strong crystalline field for 4d electrons causes the Ru ion to have a low spin state with spin degree of freedom S=1, which means triple degeneracy and ferromagnetic correlations due to the Hund coupling. The normal state properties of Sr 2 RuO 4 are well described quantitatively by the Fermi surface parameters obtained from the quantum oscillation measurements. 5) They confirmed that two cylindrical sheets of 4d yz and 4d zx orbitals and a cylindrical sheet of 4d xy orbitals consist of four 4d electrons of Ru 4+ , which had been derived from the bandstructure calculation. 6)A recent inelastic neutron scattering measurement on Sr 2 RuO 4 has shown that incommensurate peaks of dynamical magnetic susceptibility χ(Q) with q 0 = (±0.6π/a, ±0.6π/a, 0) exist instead of a ferromagnetic peak (Q ≈ 0).7) The incommensurate peaks are ascribed to nesting vectors between Fermi surfaces with one-dimensional (1D) 4d yz and 4d zx orbitals.8) This provides a new physical aspect, the relation between the spin-triplet SC and the incommensurate spin fluctuations. If the SC mainly corresponds to this incommensurate spin fluctuation, the 1D 4d yz and 4d zx orbitals may play a vital role in the spin-triplet SC of Sr 2 RuO 4 . On the other hand, if the incommensurate spin fluctuation contributes negligibly to the spin-triplet SC, the 2D 4d xy orbital is more important. Since the partial density of states for the 4d xy orbital is the highest among three t 2g orbitals, 5) most theoretical studies on the spin-triplet SC are based on this 2D 4d xy orbital.9) Recently...

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Two-Dimensional Fermi Liquid Behavior of the Superconductor Sr₂RuO₄

Cited by 244 publications

References 20 publications

Field-induced quantum critical route to a Fermi liquid in high-temperature superconductors

Field-induced quantum critical route to a Fermi liquid in high-temperature superconductors

Transport properties of strongly correlated metals: A dynamical mean-field approach

Orbital-Degenerate Paramagnetic Metal Sr₂MoO₄: An Electronic Analogue to Sr₂RuO₄

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Two-Dimensional Fermi Liquid Behavior of the Superconductor Sr2RuO4

Cited by 244 publications

References 20 publications

Field-induced quantum critical route to a Fermi liquid in high-temperature superconductors

Field-induced quantum critical route to a Fermi liquid in high-temperature superconductors

Transport properties of strongly correlated metals: A dynamical mean-field approach

Orbital-Degenerate Paramagnetic Metal Sr2MoO4: An Electronic Analogue to Sr2RuO4

Contact Info

Product

Resources

About

Two-Dimensional Fermi Liquid Behavior of the Superconductor Sr₂RuO₄

Orbital-Degenerate Paramagnetic Metal Sr₂MoO₄: An Electronic Analogue to Sr₂RuO₄