Hall effect and Fermi surface reconstruction via electron pockets in the high-T _c cuprates

Abstract

epl draftHall effect and Fermi surface reconstruction via electron pockets in the high-T c cuprates. F--Transport propertiesAbstract -The mechanism by which the Fermi surface of high-Tc 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 electronlike pockets from the Fermi surface.

Fermi-surface transformation across the pseudogap critical point of the cuprate superconductor La1.6−xNd0.4SrxCuO4

“…There is also a regime of small coexisting antinodal electron pockets immediately below p . Calculations of n H vs p in the YRZ model yield excellent agreement with experimental data [31].…”

“…Recently, Storey calculated the Hall coefficient of a typical cuprate as a function of doping within such an AF scenario [31]. As shown in Fig.…”

“…23) and LSCO [4]. Comparing to calculations [31] strongly suggests that the Fermi-surface transformation in these three cuprates is caused by the sudden onset -at a T = 0 critical point -of a new Brillouin zone (or umklapp surface) akin to that produced by the onset of an antiferromagnetic phase with wavevector Q = (π, π). In such a model, the width in n H vs p is due to an intermediate regime in which the Fermi surface contains both hole-like and electron-like carriers.…”

Theory of anomalous magnetotransport from mass anisotropy

“…A cusplike singularity in the Hall number is predicted, within Boltzmann theory, in theories of a variety of order parameter transitions, including d-density wave [29], spindensity wave [30][31][32], and nematicity [33], among others. A transition between a Fermi liquid and fractionalized Fermi liquid (FL * ) state would be expected to feature a discontinuous jump in the Hall number, but this would be inevitably rounded by finite temperature.…”

Hall number across a van Hove singularity

“…Given the considerable evidence of a tendency to nematic order in the cuprates [24][25][26][27][28], we have undertaken to show that a nematic transition could produce a doping dependence of the Hall number similar to that seen in experiment. However, this is merely a consistency check; similar behavior of n H was predicted on the basis of an assumed dDW transition [12], and has been postdicted on the basis of assumed transitions involving spin or charge density wave (CDW) order [29][30][31], spiral antiferromagnetism[32], or a transition to an "FL* phase" [33,34].…”