Combined effects of pairing fluctuations and a pseudogap in the Cuprate Hall effect

Abstract

The normal-state behavior of the temperature-dependent Hall coefficient in cuprate superconductors is investigated using linear response theory. The Hall conductivity is of paramount importance in that its sign and magnitude directly reflect the sign of the charge carriers and the size of particle-hole asymmetry effects. Here we apply a strong-pairing fluctuation theory that incorporates pseudogap effects known to be important in cuprate transport. As a result, in the vicinity of the transition temperature our theoretical approach goes beyond the conventional superconducting fluctuation formalism. In this regime, pseudogap effects are evident in both the transverse and longitudinal conductivities and the bosonic response is explicitly gauge invariant. The presence of a gap in the excitation spectrum is also apparent at higher temperatures, where the gapped fermionic quasiparticles are the dominant contribution to the Hall coefficient. The observed non-monotonic temperature dependence of the Hall coefficient therefore results from a delicate interplay between the fermionic quasiparticles and the bosonic fluctuations. An important feature of our work is that the sign of the Hall conductivity from the Cooper pair fluctuations is the same as that of their fermionic constituents. Thus, we find no sign change in the Hall coefficient above the transition temperature. This prediction is corroborated by experiments, away from special charge ordering stoichiometries. The theoretical results presented in this paper provide crucial signatures that can be experimentally verified, enabling validation of the present theory.

14 pages, 8 figures

References in corpus (13)

• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates
• Visualizing pair formation on the atomic scale in the high-Tc superconductor Bi2Sr2CaCu2O8+d
• Lifshitz critical point in the cuprate superconductor YBa2Cu3Oy from high-field Hall effect measurements
• Protected nodes and the collapse of the Fermi arcs in high Tc cuprates
• Modeling the Fermi arc in underdoped cuprates
• Intrinsic Hall response of the CuO2 planes in a chain-plane-composite system of YBa2Cu3Oy
• Fermi surface reconstruction and drop of Hall number due to spiral antiferromagnetism in high-$T_c$ cuprates
• Scaling analysis of normal state properties of high-temperature superconductors
• Phenomenological theories of the low-temperature pseudogap: Hall number, specific heat and Seebeck coefficient
• Superconducting fluctuations in a thin NbN film probed by the Hall effect
• Understanding the Protected Nodes and Collapse of the Fermi Arcs in Underdoped Cuprate Superconductors
• Effects of proximity to an electronic topological transition on normal state transport properties of the high-Tc superconductors

Cited by in corpus (1)

• Anomalous electron transport in epitaxial NdNiO${}_3$ films