Theory of anisotropic elastoresistivity of two-dimensional extremely strongly correlated metals

TL;DR

This paper develops a theoretical framework for understanding the anisotropic elastoresistivity in two-dimensional strongly correlated cuprate metals, predicting strain effects on resistivity and related properties with potential for experimental validation.

Contribution

It introduces a novel application of strongly correlated Fermi liquid theory to model strain effects on resistivity in cuprates, extending understanding beyond iron-based systems.

Findings

Quantitative predictions for strain-induced resistivity changes in cuprates.

Modeling of optical weight and local density of states under strain.

Proposes experimental tests for strongly correlated high-$T_c$ materials.

Abstract

There is considerable recent interest in the phenomenon of anisotropic electroresistivity of correlated metals. While some interesting work has been done on the iron-based superconducting systems, not much is known for the cuprate materials. Here we study the anisotropy of elastoresistivity for cuprates in the normal state. We present theoretical results for the effect of strain on resistivity, and additionally on the optical weight and local density of states. We use the recently developed extremely strongly correlated Fermi liquid theory in two dimensions, which accounts quantitatively for the unstrained resistivities for three families of single-layer cuprates. The strained hoppings of a tight-binding model are roughly modeled analogously to strained transition metals. The strained resistivity for a two-dimensional $t$-$t'$-$J$ model are then obtained, using the equations developed in recent work. Our quantitative predictions for these quantities have the prospect of experimental tests in the near future, for strongly correlated materials such as the hole-doped and electron-doped high-$T_c$ materials.