The Anomalous Hall Effect in YBa${}_2$Cu${}_3$O${}_7$

Abstract

The temperature dependence of the normal state Hall effect and magnetoresistance in YBa${}_2$Cu${}_3$O${}_7$ is investigated using the Nearly Antiferromagnetic Fermi Liquid description of planar quasiparticles. We find that highly anisotropic scattering at different regions of the Fermi surface gives rise to the measured anomalous temperature dependence of the resistivity and Hall coefficient while yielding the universal temperature dependence of the Hall angle observed for both clean and dirty samples. This universality is shown to arise from the limited momentum transfers available for the anomalous, spin fluctuation scattering and is preserved for any system with strong antiferromagnetic correlations.

REVTeX, 10 pages + 4 figures in a single (compressed/uuencoded) PostScript file

References in corpus (2)

• Resistivity as a function of temperature for models with hot spots on the Fermi surface.
• Magnetic scaling in cuprate superconductors

Cited by in corpus (55)

• A Survey of the Van Hove Scenario for High-T_c Superconductivity With Special Emphasis on Pseudogaps and Striped Phases
• Theory of Superconductivity in Strongly Correlated Electron Systems
• Pairing due to Spin Fluctuations in Layered Organic Superconductors
• Weak Pseudogap Behavior in the Underdoped Cuprate Superconductors
• A Theory of the Longitudinal and Hall Conductivities of the Cuprate Superconductors
• Microscopic theory of weak pseudogap behavior in the underdoped cuprate superconductors I: General theory and quasiparticle properties
• Carrier relaxation, pseudogap, and superconducting gap in high-Tc cuprates: A Raman scattering study
• NMR and Neutron Scattering Experiments on the Cuprate Superconductors: A Critical Re-Examination
• Non-Universal Power Law of the "Hall Scattering Rate" in a Single-Layer Cuprate Bi_{2}Sr_{2-x}La_{x}CuO_{6}
• Violation of Kohler's rule by the magnetoresistance of a quasi-two-dimensional organic metal
• Pseudogap Phenomena and Superconducting Fluctuations in Hubbard Model for High-Tc Cuprates
• Magnetotransport in nearly antiferromagnetic metals
• Phenomenological Transport Equation for the Cuprate Metals
• Effective Lorentz Force due to Small-angle Impurity Scattering: Magnetotransport in High-Tc Superconductors
• Hole superconductivity in the electron-doped superconductor PCCO
• Phenomenological interpretations of the ac Hall effect in the normal state of YBa2Cu3O7
• Sharp signature of DDW quantum critical point in the Hall coefficient of the cuprates
• Influence of Electron-Phonon Interaction on Spin Fluctuation Induced Superconductivity
• How should we interpret the two transport relaxation times in the cuprates ?
• Anomalous Nernst effect from a chiral d-density wave state in underdoped cuprate superconductors
• Electrodynamics of correlated electron matter
• Nature of the Electronic Excitations near the Brillouin Zone Boundary of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• High field study of normal state magneto-transport in the thallium cuprate Tl-2201
• Theory of Hall Effect and Electrical Transport in High-Tc Cuprates: Effects of Antiferromagnetic Spin Fluctuations
• Hall effect in heavy-fermion metals
• Perfect Fluids and Bad Metals: Transport Analogies Between Ultracold Fermi Gases and High $T_c$ Superconductors
• Effects of Electronic Correlations on the Thermoelectric Power of the Cuprates
• Effect of magnetic criticality and Fermi-surface topology on the magnetic penetration depth
• Measuring anisotropic scattering in the cuprates
• Optical conductivity of a two-dimensional metal at the onset of spin-density-wave order
• A Fermi liquid model for the overdoped and optimally doped cuprate superconductors: scattering rate, susceptibility, spin resonance peak and superconducting transition
• Hall effect in underdoped GdBa2Cu3O7-d thin films: evidence for a crossover line in the pseudogap regime
• Magnetotransport in the Normal State of La1.85Sr0.15Cu(1-y)Zn(y)O4 Films
• Investigation of Magnetic Transport Properties by Wannier Interpolation
• Theory of Electric Transport in the Pseudogap State of High-Tc Cuprates
• Effect of Magnetic field on the Pseudogap Phenomena in High-Tc Cuprates
• Optical Sum Rule in Finite Bands
• Theory on Superconducting Transition from Pseudogap State
• Apparent Violation of the Wiedemann-Franz law near a magnetic field tuned metal-antiferromagnetic quantum critical point
• Pseudogap and Superconducting Fluctuation in High-Tc Cuprates: Theory beyond 1-loop Approximation
• Relationship between and implications of the isotope and pressure effects on transition temperature, penetration depths and conductivities
• Memory matrix theory of the dc resistivity of a disordered antiferromagnetic metal with an effective composite operator
• Breakdown of the Wiedemann-Franz law at the Lifshitz point of strained Sr${}_2$RuO${}_4$
• Coexisting Holes and Electrons in High-Tc Materials: Implications from Normal State Transport
• Magnetic Coherence as a Universal Feature of Cuprate Superconductors
• Fermi Surface Renormalization in Two Spatial Dimensions
• Transport phenomenology for a holon-spinon fluid
• Impurity and strain effects on the magnetotransport of La1.85Sr0.15Cu(1-y)Zn(y)O4 films
• Small-angle scattering in a marginal Fermi-liquid
• Magnetoresistance in quasi-one-dimensional metals due to Fermi surface cold spots
• A Vertex Correction in the Gap Equation for the High Temperature Superconductors
• Effect of the Fermi surface destruction on transport properties in underdoped cuprates
• Vertex Corrections in the Spin-fluctuation-induced Superconductivity
• Marginal Fermi Liquid with a Two-Dimensional Patched Fermi Surface
• Evolution of the pseudogap and excess conductivity of YBa${}_2$Cu${}_3$O${}_{7-\delta }$ single crystals in the course of long-term aging