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 $\Delta(p) \propto p^*-p$ in a broad doping range below the critical doping $p^*$. 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 $p^*$. 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 $p^*$ is obtained.
Highlights
The structure of the normal state hidden beneath the superconducting dome determines the fluctuations that govern the anomalous properties of cuprate superconductors in a wide range of their phase diagram [1]
High field charge transport measurements in YBa2Cu3Oy (YBCO) and several other cuprate compounds revealed a drastic reduction of the charge carrier density on entering the pseudogap regime [2,3,4,5]
The Hubbard model can be mapped onto an Anderson impurity model (AIM), whose propagator is related to the lattice propagator by a self-consistency condition [38]
Summary
The structure of the normal state hidden beneath the superconducting dome determines the fluctuations that govern the anomalous properties of cuprate superconductors in a wide range of their phase diagram [1] This normal state could be accessed in a series of experiments where superconductivity was suppressed by applying extremely high magnetic fields to almost 100 tesla. The dc charge transport properties are computed by plugging the magnetic order parameter as obtained from the DMFT calculation into expressions for the longitudinal and Hall conductivities in a magnetically ordered state derived previously by two of us [13].
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