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Harris, Jeffrey M.; Yan, Y. F.; Ong, N. P.

doi:10.1103/physrevb.46.14293

Cited by 120 publications

(54 citation statements)

References 19 publications

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“…However if transport relaxation time is dependent on temperature differently from point to point on the Fermi surface, the Hall coefficient can depend on temperature. In the normal state of hole-doped cuprate superconductors [3][4][5][6][7][8][9][10], the sign of the Hall coefficient is positive, and the Hall coefficient decreases as the temperature increases for a wide temperature range. Hole-like character of the Fermi surface has been observed by angle-resolved photoemission spectroscopy (ARPES) experiments [11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Theory of Hall Effect and Electrical Transport in High-T_cCuprates: Effects of Antiferromagnetic Spin Fluctuations

Kanki

Kontani

1999

J. Phys. Soc. Jpn.

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In the normal state of high-Tc cuprates, the Hall coefficient shows remarkable temperature dependence, and its absolute value is enhanced in comparison with that value simply estimated on the basis of band structure. It has been recognized that this temperature dependence of the Hall coefficient is due to highly anisotropic quasiparticle damping rate on the Fermi surface. In this paper we further take account of the vertex correction to the current vertex arising from quasiparticle interactions. Then the transport current is transformed to a large extent from the quasiparticle velocity, and is no longer proportional to the latter. As a consequence some pieces of the Fermi surface outside of the antiferromagnetic Brillouin zone make negative contribution to the Hall conductivity, even if the curvature of the Fermi surface is hole-like. The Hall coefficient is much larger at low temperatures than the estimate made without the vertex correction. Temperature dependence of the antiferromagnetic spin correlation length is also crucial to cause remarkable temperature dependence of the Hall coefficient. In our treatment the Hall coefficient of the electron-doped cuprates can be negative despite hole-like curvature of the Fermi surface.

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Section: Introductionmentioning

confidence: 99%

Theory of Hall Effect and Electrical Transport in High-T_cCuprates: Effects of Antiferromagnetic Spin Fluctuations

Kanki

Kontani

1999

J. Phys. Soc. Jpn.

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“…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 2 behavior [1] over a wide range of oxygen doping [2], and with substitutional doping [3] in a variety of the cuprates [4]. This apparent duality of scattering rates characterizes the anomalous Hall transport in the cuprates.…”

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confidence: 99%

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

et al. 2002

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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 *

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“…In this model, the cotθ H should be proportional to T 2 since the Hall angle is proportional to the inverse of the Hall scattering time τ H (∝ T −2 ), and has been observed for most high-T c superconductors. [11,12] In the mixed-state, the flux-flow Hall effect is also quite interesting. A puzzling sign anomaly has been observed in some conventional superconductors [13,14] as well as in most of high-T c superconductors.…”

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confidence: 99%

“…The absolute value of the hole carrier density is two orders of magnitude larger than that of Nb 3 Sn superconductors [24] and nearly three orders of magnitude larger than that of optimally doped YBa 2 Cu 3 O y . [11] Hirsch offers an explanation based on a universal mechanism by assuming that superconductivity in MgB 2 is similar to that in cuprate superconductors and is driven by pairing of heavily dressed hole carriers in a band that is almost full, whereby they gain enough kinetic energy to overcome the Coulomb energy. [20] Based on this assumption, he claimed that the type of the charge carrier is positive.…”

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confidence: 99%

Hole carrier in MgB2 characterized by Hall measurements

Kang

Jung

Kim

et al. 2001

Applied Physics Letters

104

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The longitudinal resistivity ρxx and Hall coefficient RH were measured for MgB2 sintered under high pressure. We found that RH is positive like cuprate high-Tc superconductors, and decreases as temperature increases for 40 K < T < 300 K. The cotangent of Hall angle was found to follow a + bT 2 behavior from Tc to 300 K. At T = 100 K, RH = 4.1 × 10 −11 m 3 /C from which hole carrier density was determined to be 1.5 × 10 23 /cm 3 . This carrier density is 2 -3 orders of magnitude larger than those of Nb3Sn and optimally doped YBa2Cu3Oy superconductors.Recently, MgB 2 was found to be metallic superconductor with transition temperature (T c ) of about 40 K. [1,2], and has provided great scientific interest. Several thermodynamic parameters have been estimated, [3,4] such as a upper critical field H c2 = 13 -18 T, a GinzburgLandau parameter κ ∼ 26, and the critical supercurrent density J c (0) ∼ 10 5 A/cm 2 . In order to probe the nature of gap, tunneling spectroscopy measurements have been reported [5,6], and they observed superconducting energy gap (∆) of 5 -7 meV in the framework of the BCS model. The conventional BCS electron-phonon interaction was proposed as the origin of the superconductivity based on a band calculation. [7] The possible origin of the enhanced T c is suggested to originate from a strong electron-phonon interaction and a enhanced phonon frequency due to the light boron mass in MgB 2 . Most of the charge carrier density at the Fermi level comes from the boron band. Indeed, the boron isotope effect has been reported with an exponent of α B ∼ 0.26. [8] No experimental study on the electronic structure has been reported yet.Another interesting feature concerning the normalstate Hall effect in high-T c cuprates is the universal temperature dependence of the cotangent of the Hall angle (cotθ H ). Anderson [10] and Chien et al. [9] have proposed that the charge transport is governed by two different scattering times with different temperature dependences. In this model, the cotθ H should be proportional to T 2 since the Hall angle is proportional to the inverse of the Hall scattering time τ H (∝ T −2 ), and has been observed for most high-T c superconductors. [11,12] In the mixed-state, the flux-flow Hall effect is also quite interesting. A puzzling sign anomaly has been observed in some conventional superconductors [13,14] as well as in most of high-T c superconductors.[15] Even double [16,17] or triple sign changes [15] have been observed in some high-T c superconductors. Furthermore, a universal scaling behavior between the Hall resistivity and the longitudinal resistivity has attracted much experimental [15][16][17][18] and theoretical interest. [19] However, these Hall effects in the mixed state are not well understood.To understand the superconductivity in MgB 2 , it is essential to know the type of charge carrier and it's density, but these have not been reported yet . Theoretically, Hirsch [20] proposed that the 40 K superconductivity of MgB 2 originates mainly from the hole carriers with bor...

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Experimental test of theT2law for the Hall angle fromTc

Cited by 120 publications

References 19 publications

Theory of Hall Effect and Electrical Transport in High-T_cCuprates: Effects of Antiferromagnetic Spin Fluctuations

Theory of Hall Effect and Electrical Transport in High-T_cCuprates: Effects of Antiferromagnetic Spin Fluctuations

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

Hole carrier in MgB2 characterized by Hall measurements

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Experimental test of theT2law for the Hall angle fromTc

Cited by 120 publications

References 19 publications

Theory of Hall Effect and Electrical Transport in High-TcCuprates: Effects of Antiferromagnetic Spin Fluctuations

Theory of Hall Effect and Electrical Transport in High-TcCuprates: Effects of Antiferromagnetic Spin Fluctuations

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

Hole carrier in MgB2 characterized by Hall measurements

Contact Info

Product

Resources

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Theory of Hall Effect and Electrical Transport in High-T_cCuprates: Effects of Antiferromagnetic Spin Fluctuations

Theory of Hall Effect and Electrical Transport in High-T_cCuprates: Effects of Antiferromagnetic Spin Fluctuations