Hall effect and Fermi surface reconstruction via electron pockets in the high-$T_c$ cuprates

Abstract

The mechanism by which the Fermi surface of high-$T_c$ cuprates undergoes a dramatic change from a large hole-like barrel to small arcs or pockets on entering the pseudogap phase remains a question of fundamental importance. Here we calculate the normal-state Hall coefficient from the resonating-valence-bond spin-liquid model developed by Yang, Rice and Zhang. In this model, reconstruction of the Fermi surface occurs via an intermediate regime where the Fermi surface consists of both hole- and electron-like pockets. We find that the doping $(x)$ dependence of the Hall number transitions from $1+x$ to $x$ over this narrow doping range. At low temperatures, a switch from a downturn to an upturn in the Hall coefficient signals the departure of the electron-like pockets from the Fermi surface.

5 pages, 5 figures

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Cited by in corpus (50)

• The remarkable underlying ground states of cuprate superconductors
• Fermi-surface transformation across the pseudogap critical point of the cuprate superconductor La${}_{1.6-x}$Nd${}_{0.4}$Sr${}_x$CuO${}_4$
• Dynamical charge density waves rule the phase diagram of cuprates
• Pseudogap phase of cuprate superconductors confined by Fermi surface topology
• Ultra-high critical current densities of superconducting YBa${}_2$Cu${}_3$O${}_{7-\delta }$ thin films in the overdoped state
• Anomalies in the pseudogap phase of the cuprates: Competing ground states and the role of umklapp scattering
• Fermi surface transformation at the pseudogap critical point of a cuprate superconductor
• Fermi surface reconstruction and drop of Hall number due to spiral antiferromagnetism in high-$T_c$ cuprates
• Hole-pocket-driven superconductivity and its universal features in the electron-doped cuprates
• The novel metallic states of the cuprates: Fermi liquids with topological order, and strange metals
• Intertwining topological order and broken symmetry in a theory of fluctuating spin density waves
• Normal state specific heat in the cuprates La${}_{2-x}$Sr${}_x$CuO${}_4$ and Bi${}_{2+y}$Sr${}_{2-x-y}$La${}_x$CuO${}_{6+\delta }$ near the critical point of the pseudogap phase
• Longitudinal and anomalous Hall conductivity of a general two-band model
• Charge density waves and Fermi-surface reconstruction in the clean overdoped cuprate superconductor Tl2Ba2CuO6+x
• Fractionalized Fermi liquid with bosonic chargons as a candidate for the pseudogap metal
• Effective SU(2) theory for the pseudogap state
• Locating the pseudogap closing point in cuprate superconductors: absence of entrant or reentrant behavior
• Phenomenological theories of the low-temperature pseudogap: Hall number, specific heat and Seebeck coefficient
• Umklapp scattering as the origin of $T$-linear resistivity in the normal state of high-$T_c$ cuprate superconductors
• Longitudinal conductivity and Hall coefficient in two-dimensional metals with spiral magnetic order
• Thermopower across the phase diagram of the cuprate La${}_{1.6-x}$Nd${}_{0.4}$Sr${}_x$CuO${}_4$ : signatures of the pseudogap and charge-density-wave phases
• SU(2) gauge theory of the pseudogap phase in the two-dimensional Hubbard model
• Charge carrier drop at the onset of pseudogap behavior in the two-dimensional Hubbard model
• Thermal and electrical transport in metals and superconductors across antiferromagnetic and topological quantum transitions
• The Hall number across a van Hove singularity
• Transport signatures of the pseudogap critical point in the cuprate superconductor Bi${}_2$Sr${}_{2-x}$La${}_x$CuO${}_{6+\delta }$
• DC Hall coefficient of the strongly correlated Hubbard model
• The cuprate phase diagram and the influence of nanoscale inhomogeneities
• Evolution of spectral and transport quantities with doping in the SU(2) theory of cuprates
• Wiedemann-Franz law and abrupt change in conductivity across the pseudogap critical point of a cuprate superconductor
• Hall and Faraday effects in interacting multi-band systems with arbitrary band topology and spin-orbit coupling
• Hall effect in cuprates with incommensurate spin-density wave
• Pseudogap to metal transition in the anisotropic two-dimensional Hubbard model
• Fluctuations and Higgs mechanism in Under-Doped Cuprates: a Review
• Incoherent superconductivity well above $T_c$ in high-$T_c$ cuprates - harmonizing the spectroscopic and thermodynamic data
• Field-dependent specific heat of the canonical underdoped cuprate superconductor YBa${}_2$Cu${}_4$O${}_8$
• Unified intermediate coupling description of the pseudogap and the strange metal phases of cuprates
• Combined effects of pairing fluctuations and a pseudogap in the Cuprate Hall effect
• Suppression of Hall number due to charge density wave order in high-$T_c$ cuprates
• Simultaneous drop in mean free path and carrier density at the pseudogap onset in high-$T_c$ cuprates
• Carrier density crossover and quasiparticle mass enhancement in a doped 5$d$ Mott insulator
• The Transformation of the Superconducting Gap to an Insulating Pseudogap at a Critical Hole Density in the Cuprates
• Theory of anomalous magnetotransport from mass anisotropy
• Unified approach to electrical and thermal transport in high-$T_c$ superconductors
• Fermi arcs vs hole pockets: periodization of a cellular two-band model
• Thermal Hall Effect and Neutral Spinons in a Doped Mott Insulator
• The Future of the Correlated Electron Problem
• Magnetotransport in overdoped La${}_{2-x}$Sr${}_x$CuO${}_4$: a Fermi liquid approach
• Effects of the pseudogap and the Fermi surface on the rapid Hall-coefficient changes in cuprates
• Exceptional van Hove Singularities in Pseudogapped Metals