Phenomenological interpretations of the ac Hall effect in the normal state of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">YBa</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Cu</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">O</mml:mi></mml:

Zheleznyak, Anatoley T.; Yakovenko, Victor M.; Drew, H. D.; Mazin, I. I.

doi:10.1103/physrevb.57.3089

Cited by 52 publications

(52 citation statements)

References 55 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The interlayer-pair-tunnelling mechanism [27] is ruled out by the fact that the additional factor cos 1 2 k x cos 1 2 k y attained by t ⊥ (k) in bct materials suppresses the interlayer pair-tunnelling in Tl 2 Ba 2 CuO 6 compared with HgBa 2 CuO 4 , and yet, T c max ∼90 K in both cases. That the axial orbital is the channel for coupling the layer to its surroundings is supported [28] by the observations that the k-dependence of the scattering in the normal state is v 2 -like [5] and that the c-axis transport is strongly suppressed by the opening of a pseudogap [29] with similar k-dependence. The axial orbital is also the non-correlated vehicle for coupling between oxygens in the layer.…”

Section: And Eqs (2)-(3)mentioning

confidence: 96%

Band-Structure Trend in Hole-Doped Cuprates and Correlation withTcmax

et al. 2001

View full text Add to dashboard Cite

By calculation and analysis of the bare conduction bands in a large number of hole-doped high-temperature superconductors, we have identified the energy of the so-called axial-orbital as the essential, material-dependent parameter. It is uniquely related to the range of the intra-layer hopping. It controls the Cu 4s-character, influences the perpendicular hopping, and correlates with the observed Tc at optimal doping. We explain its dependence on chemical composition and structure, and present a generic tight-binding model. PACS numbers: 74.25.Jb, 74.62.Bf, 74.62.Fj, The mechanism of high-temperature superconductivity (HTSC) in the hole-doped cuprates remains a puzzle [1]. Many families with CuO 2 -layers have been synthesized and all exhibit a phase diagram with T c going through a maximum as a function of doping. The prevailing explanation is that at low doping, superconductivity is destroyed with rising temperature by the loss of phase coherence, and at high doping by pair-breaking [2]. For the materials-dependence of T c at optimal doping, T c max , the only known, but not understood, systematics is that for materials with multiple CuO 2 -layers, such as HgBa 2 Ca n−1 Cu n O 2n+2 , T c max increases with the number of layers, n, until n ∼3. There is little clue as to why for n fixed, T c max depends strongly on the family, e.g. why for n=1, T c max is 40 K for La 2 CuO 4 and 85 K for Tl 2 Ba 2 CuO 6 , although the Neel temperatures are fairly similar. A wealth of structural data has been obtained, and correlations between structure and T c have often been looked for as functions of doping, pressure, uniaxial strain, and family. However, the large number of structural and compositional parameters makes it difficult to find what besides doping controls the superconductivity. Insight was recently provided by Seo et al. [3] who grew ultrathin epitaxial La 1.9 Sr 0.1 CuO 4 films with varying degrees of strain and measured all relevant structural parameters and physical properties. For this single-layer material it was concluded that the distance between the charge reservoir and the CuO 2 -plane is the key structural parameter determining the normal state and superconducting properties.Most theories of HTSC are based on a Hubbard model with one Cu d x 2 −y 2 -like orbital per CuO 2 unit. The oneelectron part of this model is, in the k-representation:with t, t ′ , t ′′ , ... denoting the hopping integrals (≥ 0) on the square lattice (Fig. 1) Relation between the one-orbital model (t, t ′ , t ′′ , ...) and the nearest-neighbor four-orbital model [4] (ε d − εp ∼ 1 eV, t pd ∼ 1.5 eV, εs − εp ∼ 16 − 4 eV, tsp ∼ 2 eV) .The LDA band structure of the best known, and only stoichiometric optimally doped HTSC, YBa 2 Cu 3 O 7 , is more complicated than what can be described with the t-t ′ model. Nevertheless, careful analysis has shown [4] that the low-energy, layer-related features, which are the only generic ones, can be described by a nearest-neighbor, tight-binding model with four orbitals per layer (Fig. 1), Cu d x 2 −...

show abstract

Section: And Eqs (2)-(3)mentioning

confidence: 96%

Band-Structure Trend in Hole-Doped Cuprates and Correlation withTcmax

et al. 2001

View full text Add to dashboard Cite

show abstract

“…This apparent duality of scattering rates characterizes the anomalous Hall transport in the cuprates. Several theories approached the problem assuming that two scattering rates were in fact involved, beginning with the spin-charge separation model of Anderson wherein the two species of quasiparticles each relaxed at the different observed rates.[5] Subsequent explanations focused either on alternative non-Fermi liquid mechanisms [6,7] or on the effects of k-space scattering anisotropies [8][9][10][11]. The common feature of all the above theories is a dominant term that is linear in the scattering rate, cot(θ H ) ∼ γ H .…”

mentioning

confidence: 99%

“…[5] Subsequent explanations focused either on alternative non-Fermi liquid mechanisms [6,7] or on the effects of k-space scattering anisotropies [8][9][10][11]. The common feature of all the above theories is a dominant term that is linear in the scattering rate, cot(θ H ) ∼ γ H .…”

mentioning

confidence: 99%

Spectral Measurement of the Hall Angle Response in Normal State Cuprate Superconductors

et al. 2002

Self Cite

View full text Add to dashboard Cite

We measure the temperature and frequency dependence of the complex Hall angle for normal state YBa2Cu3O7 films from dc to far-infrared frequencies (20-250 cm −1 ) using a new modulated polarization technique. We determine that the functional dependence of the Hall angle on scattering does not fit the expected Lorentzian response. We find spectral evidence supporting models of the Hall effect where the scattering ΓH is linear in T, suggesting that a single relaxation rate, linear in temperature, governs transport in the cuprates.The normal state Hall effect in cuprate superconductors exhibits an anomalous temperature dependence that cannot be explained using conventional transport theory for metals. According to the simple Drude model, the resistivity of a metal and the cotangent of its Hall angle cot(θ H ) = σxx σxy , should share the same temperature dependence, both proportional to the scattering rate of the charge carriers. However, the normal state resistance of cuprate superconductors is linear with temperature, ρ ∼ T , while the Hall angle has a robust cot(θ H ) ∼ T . This apparent duality of scattering rates characterizes the anomalous Hall transport in the cuprates. Several theories approached the problem assuming that two scattering rates were in fact involved, beginning with the spin-charge separation model of Anderson wherein the two species of quasiparticles each relaxed at the different observed rates.[5] Subsequent explanations focused either on alternative non-Fermi liquid mechanisms [6,7] or on the effects of k-space scattering anisotropies [8][9][10][11]. The common feature of all the above theories is a dominant term that is linear in the scattering rate, cot(θ H ) ∼ γ H . In contrast, a recent theory by Varma and Abrahams [12] treats anisotropic scattering in a marginal Fermi-liquid and predicts a square-scattering response, cot(θ H ) ∼ γ 2 H . These different models can be distinguished at finite frequency. The linear-and square-scattering models correspond to Lorentzian and square-Lorentzian spectral responses respectively, and although Hall experiments have been performed at finite frequencies [13][14][15], this paper is the first to study both temperature and frequency dependence of the Hall response in a frequency range that discerns a lineshape and extrapolates to the dc limit.We begin by reviewing the concept of a frequency dependent Hall angle [16] using the Drude model as an example of a Lorentzian response. All parameters are implicitly spectral, i.e. θ H = θ H (ω), and in the present case of strong scattering, tan(θ) ≃ θ << 1. Quasiparticles circling at the cyclotron frequency ω *

show abstract

“…In the various models [11][12][13] proposed within the class (ii), the temperature dependence of the scattering time in the hot regions strongly deviates from the T 2 behavior of simple metals, while recovering this conventional behavior in the cold regions. Hot/cold regions (or spots) models are able to capture some anomalous properties of cuprates, but a general consensus and a systematic analysis of the full set of electric and thermal transport properties is lacking in the literature.…”

mentioning

confidence: 99%

Multi-patch model for transport properties of cuprate superconductors

2001

View full text Add to dashboard Cite

A number of normal state transport properties of cuprate superconductors are analyzed in detail using the Boltzmann equation. The momentum dependence of the electronic structure and the strong momentum anisotropy of the electronic scattering are included in a phenomenological way via a multi-patch model. The Brillouin zone and the Fermi surface are divided in regions where scattering between the electrons is strong and the Fermi velocity is low (hot patches) and in regions where the scattering is weak and the Fermi velocity is large (cold patches). We present several motivations for this phenomenology starting from various microscopic approaches. A solution of the Boltzmann equation in the case of N patches is obtained and an expression for the distribution function away from equilibrium is given. Within this framework, and limiting our analysis to the two patches case, the temperature dependence of resistivity, thermoelectric power, Hall angle, magnetoresistance and thermal Hall conductivity are studied in a systematic way analyzing the role of the patch geometry and the temperature dependence of the scattering rates. In the case of Bi-based cuprates, using ARPES data for the electronic structure, and assuming an inter-patch scattering between hot and cold states with a linear temperature dependence, a reasonable agreement with the available experiments is obtained. The normal state transport properties of cuprate superconductors have attracted enormous attention. In the underdoped regime a pseudogap appears in the excitation spectrum of the metallic state above the superconducting critical temperature T c and below a doping dependent crossover temperature T * . At optimum doping the T * almost coincides with T c and the pseudogap region of the phase diagram, if present, is very narrow. On the other hand the metallic state of cuprates at optimum doping, away from the pseudogap region, still strongly deviates from what is observed in simple metals. At optimum doping the in-plane DC-resistivity is linear in temperature from T c to very high temperatures 1,2 , the thermoelectric power is linear 3 , the cotangent of the Hall angle displays a T γ -dependence, (γ ≃ 2 in La-based and Ybased cuprates 4,5 , with deviations at low temperature of the order of 2T c , 1.60 ≤ γ ≤ 2 in Bi-based cuprates 6,7 , where increasing the doping decreases the exponent γ), the magnetoresistance has approximately a T −α dependence, with α ≃ 4 7 and the thermal Hall conductivity has approximately a T −β dependence, with β ≃ 1.2 8 . Increasing the doping, in the overdoped regime, the conventional Fermi liquid character of the metallic state is almost recovered.Theoretical approaches to the problem of transport properties of cuprates can be classified in: (i) approaches where in-plane transport properties are analyzed in terms of two scattering times, one associated to the response to an electric field (determining DCconductivity) and the other one associated to the response to a magnetic field (determining Hall conductivity and magnetores...

show abstract

Phenomenological interpretations of the ac Hall effect in the normal state ofYBa2Cu3O

Cited by 52 publications

References 55 publications

Band-Structure Trend in Hole-Doped Cuprates and Correlation withTcmax

Band-Structure Trend in Hole-Doped Cuprates and Correlation withTcmax

Spectral Measurement of the Hall Angle Response in Normal State Cuprate Superconductors

Multi-patch model for transport properties of cuprate superconductors

Contact Info

Product

Resources

About