Charge carrier drop at the onset of pseudogap behavior in the two-dimensional Hubbard model

Abstract

We show that antiferromagnetic spin-density wave order in the two-dimensional Hubbard model yields a drop of the charge carrier density as observed in recent transport measurements for cuprate superconductors in high magnetic fields upon entering the pseudogap regime. The amplitude and the (generally incommensurate) wave vector of the spin-density wave is obtained from dynamical mean-field theory (DMFT). An extrapolation of the finite temperature results to zero temperature yields an approximately linear doping dependence of the magnetic gap $\Delta (p)\propto p^{\ast }-p$ in a broad doping range below the critical doping $p^{\ast }$. The magnetic order leads to a Fermi surface reconstruction with electron and hole pockets, where electron pockets exist only in a restricted doping range below $p^{\ast }$. DC charge transport properties are computed by combining the renormalized band structure as obtained from the DMFT with a doping-independent phenomenological scattering rate. A pronounced drop of the longitudinal conductivity and the Hall number in a narrow doping range below $p^{\ast }$ is obtained.

References in corpus (37)

• A Common Thread: the pairing interaction for the unconventional superconductors
• Quantum Cluster Theories
• LDA energy bands, low-energy Hamiltonians, t', t'', t_{perp}(k), and J_{perp}
• Band-structure trend in hole-doped cuprates and correlation with Tcmax
• Electron pockets in the Fermi surface of hole-doped high-Tc superconductors
• TRIQS: A Toolbox for Research on Interacting Quantum Systems
• Electrical Resistivity Anisotropy from Self-Organized One-Dimensionality in High-Temperature Superconductors
• Change of carrier density at the pseudogap critical point of a cuprate superconductor
• A Phenomenological Theory of The Pseudogap State
• The remarkable underlying ground states of cuprate superconductors
• Neutron scattering study of the magnetic phase diagram of underdoped YBa(2)Cu(3)O(6+x)
• Incommensurate magnetic order and phase separation in the two-dimensional Hubbard model with nearest and next-nearest neighbor hopping
• Topological order in the pseudogap metal
• Pseudogap and Fermi surface topology in the two-dimensional Hubbard model
• Fermi-surface transformation across the pseudogap critical point of the cuprate superconductor La${}_{1.6-x}$Nd${}_{0.4}$Sr${}_x$CuO${}_4$
• Hidden magnetism at the pseudogap critical point of a high temperature superconductor
• Dynamical charge density waves rule the phase diagram of cuprates
• Effective theory of Fermi pockets in fluctuating antiferromagnets
• Coexistence of incommensurate magnetism and superconductivity in the two-dimensional Hubbard model
• Why the critical temperature of high-$T_{\mathrm{c}}$ cuprate superconductors is so low: The importance of the dynamical vertex structure
• Fermi surface reconstruction and drop of Hall number due to spiral antiferromagnetism in high-$T_c$ cuprates
• Hall effect and Fermi surface reconstruction via electron pockets in the high-$T_c$ cuprates
• Fractionalized Fermi liquid with bosonic chargons as a candidate for the pseudogap metal
• Stability of the spiral phase in the 2D extended t-J model
• Phenomenological theories of the low-temperature pseudogap: Hall number, specific heat and Seebeck coefficient
• Origin of the metal-to-insulator crossover in cuprate superconductors
• Longitudinal conductivity and Hall coefficient in two-dimensional metals with spiral magnetic order
• Spectral and transport properties of doped Mott-Hubbard systems with incommensurate magnetic order
• Thermal and electrical transport in metals and superconductors across antiferromagnetic and topological quantum transitions
• The Hall number across a van Hove singularity
• Pseudogap, van Hove Singularity, Maximum in Entropy and Specific Heat for Hole-Doped Mott Insulators
• Incommensurate spiral magnetic order on anisotropic triangular lattice: Dynamical mean field study in a spin-rotating frame
• Evolution of spectral and transport quantities with doping in the SU(2) theory of cuprates
• Dynamically enhanced magnetic incommensurability: Effects of local dynamics on non-local spin-correlations in a strongly correlated metal
• Hall effect in cuprates with incommensurate spin-density wave
• 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

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• Parametrizations of local vertex corrections from weak to strong coupling: importance of the Hedin three-leg vertex
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• Accessing the ordered phase of correlated Fermi systems: vertex bosonization and mean-field theory within the functional renormalization group
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• Magnetotransport in overdoped La${}_{2-x}$Sr${}_x$CuO${}_4$: a Fermi liquid approach
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