Universal Scaling Law of Quasiparticle Nernst Effect in Cuprates: A Unified Schematic Analysis for Transverse Transport

TL;DR

This paper uncovers a universal exponential decay scaling law for the quasiparticle Nernst coefficient in underdoped cuprates, linking it to the conductivity structure and Berry curvature effects, with implications for understanding pseudogap phenomena.

Contribution

It introduces a unified framework explaining the universal scaling law of the quasiparticle Nernst effect in cuprates, connecting it to Berry curvature and pseudogap properties.

Findings

Nernst coefficient decreases exponentially with temperature in YBa2Cu3O_y

Unified scheme clarifies pseudogap temperature measurement disparities

Potential for discovering similar scaling laws in other correlated systems

Abstract

We discover a universal scaling law for the quasiparticle Nernst coefficient in underdoped cuprates, whose magnitude decreases exponentially with increasing temperature as confirmed in YBa$_2$Cu$_3$O$_y$. We attribute it to the basic mathematical structure of the conductivity formula with a narrow effective bandwidth of nonzero Berry curvatures associated with the pseudogap. A unified scheme is then developed to analyze transverse transport in hole-doped cuprates and clarify the puzzling disparity in determining the pseudogap temperature from different measurements. Our proposal opens the avenue for exploring potential scaling laws in the intermediate temperature region and may have broad applications in strongly correlated or narrow band systems.