Quasiclassical Transport at a van Hove Singularity in Cuprate Superconductors

Newns, D. M.; Tsuei, C. C.; Huebener, R. P.; Bentum, P.J.M. van; Pattnaik, Pratap; C., C.

doi:10.1103/physrevlett.73.1695

Cited by 138 publications

(67 citation statements)

References 26 publications

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“…Newns et al [31] proposed that the standard transport theory involving van Hove singularity could explain the temperature dependence of TEP as well as doping dependence in YBCO. In this model, the very narrow DOS peak near E F can produce an approximately temperatureindependent behavior of TEP above the temperature of the order of the width of a narrow DOS peak.…”

Section: Resultsmentioning

confidence: 99%

Two Pseudogap Behavior in La_2-xSr_xCuO₄: Thermoelectric Power at High Temperature

Kim

et al. 2004

Journal of Superconductivity

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Thermoelectric power (TEP) of high-T C superconductors has been investigated in a wide range of temperature (T C < T < 700 K) for La 2−x Sr x CuO 4 . TEP of La 2−x Sr x CuO 4 shows different temperature dependences in three temperature regions. In the low-temperature region, a positive broad TEP peak is observed near T p , which shifts to lower temperature upon doping. As temperature increases, TEP decreases linearly at intermediate temperature.In the high-temperature region, TEP deviates from the linear temperature dependence at a certain temperature, T h showing a saturation behavior. As the doping concentration increases, the characteristic temperatures, T C , T p , and T h , show systematic changes. In comparison with pseudogap temperature estimated from other experiments, the large pseudogap behavior in TEP at high temperature has been discussed and distinguished from the small pseudogap observed at lower temperature. A possibility of bound pairs formation in the normal state opening the pseudogap at high temperature is discussed briefly. The coexistence of bound pairs and the normal independent carriers for T C < T < T h could be the origin of the intrinsic inhomogeneity.

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Section: Resultsmentioning

confidence: 99%

Two Pseudogap Behavior in La_2-xSr_xCuO₄: Thermoelectric Power at High Temperature

Kim

et al. 2004

Journal of Superconductivity

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“…The spectrum described by Eq. (2) gives a logarithmic singularity in the density of states at the Fermi energy N(e) = (l/D) In l eF/ (e-eF)l where D is the bandwidth [5,7]. We consider two different symmetries for the gap parameter, i.e.…”

Section: Theoretical Modelmentioning

confidence: 99%

“…The effect of such a singularity in the BCS theory [4] is known to allow for an increase of the critical temperature T c to about 100 K [5][6][7] and to explain several properties of high-T~ cuprates like the doping dependence of T~ [5] and the linear temperature behavior of the in-plane resistivity P~b [7].…”

Section: Introductionmentioning

confidence: 99%

Influence of a Van Hove singularity on the electronic specific heat of high-Tc superconductors

Dorbolo

Houssa

Ausloos

1996

Physica C: Superconductivity

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We study the influence of a logarithmic Van Hove singularity on the electronic specific heat C e of a 2D superconductor. The theoretical results are obtained for an isotropic s-wave gap parameter or an anisotropic dx2 y2-wave gap parameter. The specific heat jump at T c observed in high-T c superconductors can be reproduced by considering both gap parameter symmetries. However the very low temperature behavior of Ce as observed in a single crystal of YBa2Cu307_ ~ is only consistent with a gap parameter of dx2_y2 wave type.

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“…The van Hove scenario is also argued [12][13][14] to be responsible for the marginal Fermi liquid behavior 15 in which the lifetime broadening of the quasiparticles is of the order of its energy. Thus the van Hove scenario is argued to account for the linear-T resistivity, 13,14,16 T -independent thermopower, 13 anomalous isotope effect, 14 etc.…”

mentioning

confidence: 99%

“…Thus the van Hove scenario is argued to account for the linear-T resistivity, 13,14,16 T -independent thermopower, 13 anomalous isotope effect, 14 etc.…”

mentioning

confidence: 99%

Role of the van Hove singularity in the quantum criticality of the Hubbard model

et al. 2011

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A quantum critical point is found in the phase diagram of the two-dimensional Hubbard model [Vidhyadhiraja et al., Phys. Rev. Lett. 102, 206407 (2009)]. It is due to the vanishing of the critical temperature associated with a phase separation transition, and it separates the non-Fermi liquid region from the Fermi liquid. Near the quantum critical point, the pairing is enhanced since the real part of the bare d-wave pairing susceptibility exhibits an algebraic divergence with decreasing temperature, replacing the logarithmic divergence found in a Fermi liquid [Yang et al., Phys. Rev. Lett. 106, 047004 (2011)]. In this paper we explore the single-particle and transport properties near the quantum critical point using high quality estimates of the self energy obtained by direct analytic continuation of the self energy from Continuous-Time Quantum Monte Carlo. We focus mainly on a van Hove singularity coming from the relatively flat dispersion that crosses the Fermi level near the quantum critical filling. The flat part of the dispersion orthogonal to the antinodal direction remains pinned near the Fermi level for a range of doping that increases when we include a negative next-near-neighbor hopping t ′ in the model. For comparison, we calculate the bare d-wave pairing susceptibility for non-interacting models with the usual two-dimensional tight binding dispersion and a hypothetical quartic dispersion. We find that neither model yields a van Hove singularity that completely describes the critical algebraic behavior of the bare d-wave pairing susceptibility found in the numerical data. The resistivity, thermal conductivity, thermopower, and the Wiedemann-Franz Law are examined in the Fermi liquid, marginal Fermi liquid, and pseudo-gap doping regions. A negative next-near-neighbor hopping t ′ increases the doping region with marginal Fermi liquid character. Both T and negative t ′ are relevant variables for the quantum critical point, and both the transport and the displacement of the van Hove singularity with filling suggest that they are qualitatively similar in their effect.

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Quasiclassical Transport at a van Hove Singularity in Cuprate Superconductors

Cited by 138 publications

References 26 publications

Two Pseudogap Behavior in La_2-xSr_xCuO₄: Thermoelectric Power at High Temperature

Two Pseudogap Behavior in La_2-xSr_xCuO₄: Thermoelectric Power at High Temperature

Influence of a Van Hove singularity on the electronic specific heat of high-Tc superconductors

Role of the van Hove singularity in the quantum criticality of the Hubbard model

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Quasiclassical Transport at a van Hove Singularity in Cuprate Superconductors

Cited by 138 publications

References 26 publications

Two Pseudogap Behavior in La2-xSrxCuO4: Thermoelectric Power at High Temperature

Two Pseudogap Behavior in La2-xSrxCuO4: Thermoelectric Power at High Temperature

Influence of a Van Hove singularity on the electronic specific heat of high-Tc superconductors

Role of the van Hove singularity in the quantum criticality of the Hubbard model

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Product

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Two Pseudogap Behavior in La_2-xSr_xCuO₄: Thermoelectric Power at High Temperature

Two Pseudogap Behavior in La_2-xSr_xCuO₄: Thermoelectric Power at High Temperature