Quantum Theory of Lee-Naughton-Lebed's Angular Effect in Strong Electric Fields

TL;DR

This paper develops a quantum mechanical theory to explain the Lee-Naughton-Lebed angular effect in strong electric fields, successfully matching previous experimental observations in organic conductors.

Contribution

It introduces the first quantum mechanical model for LNL angular oscillations in moderately strong electric fields, aligning with prior experimental data.

Findings

The theoretical formula matches the hypothetical equation proposed earlier.

The model accurately describes experimental LNL conductivity maxima.

Quantum theory explains the splitting of maxima in strong electric fields.

Abstract

Some time ago, Kobayashi et al. experimentally studied the so-called Lee-Naughton-Lebed's (LNL) angular effect in strong electric fields [K. Kobayashi, M. Saito, E. Omichi, and T. Osada, Phys. Rev. Lett. \textbf{96}, 126601 (2006)]. They found that strong electric fields split the LNL conductivity maxima in $\alpha$-(ET)$_2$-based organic conductor and hypothetically introduced the corresponding equation for conductivity. In this Letter, for the first time we suggest quantum mechanical theory of the LNL angular oscillations in moderately strong electric fields. In particular, we demonstrate that the obtained by us approximate theoretical formula coincides with the hypothetical one and well describes the above mentioned experiments.