Theory for Planar Hall Effect in Organic Dirac Fermion System

TL;DR

This paper presents a theoretical study demonstrating the planar Hall effect in a quasi-two-dimensional organic salt, supporting its classification as a three-dimensional Dirac semimetal due to chiral anomaly effects.

Contribution

The work provides a realistic theoretical model showing the emergence of the planar Hall effect in $\

Findings

Planar Hall effect observed in the model

Supports classification of the material as a 3D Dirac semimetal

Highlights role of chiral anomaly in organic systems

Abstract

In a recent experiment on the interlayer magnetoresistance in the quasi-two-dimensional organic salt, $\alpha$-(BEDT-TTF)$_2$I$_3$, it has been observed that at low temperatures, interlayer tunneling attains phase coherence, leading to the emergence of a three-dimensional electronic structure. Theoretically and experimentally it has been suggested that the system exhibits characteristics of a three-dimensional Dirac semimetal as a consequence of broken time-reversal symmetry and inversion symmetry. Here, we perform a theoretical calculation of the magnetoconductivity under an in-plane magnetic field and demonstrate that the system displays a planar Hall effect. Our calculations are based on a realistic model for $\alpha$-(BEDT-TTF)$_2$I$_3$ incorporating interlayer tunneling and the tilt of the Dirac cone. Given that the planar Hall effect is anticipated as a consequence of chiral anomaly, our findings provide support for the classification of $\alpha$-(BEDT-TTF)$_2$I$_3$ as a three-dimensional Dirac semimetal.