Non Fermi Liquid Crossovers in a Quasi-One-Dimensional Conductor in a Tilted Magnetic Field

TL;DR

This paper theoretically investigates how a tilted magnetic field can induce crossovers between Fermi liquid and non-Fermi liquid states in a quasi-one-dimensional conductor, with potential experimental observation in high magnetic fields.

Contribution

It predicts the conditions under which electron-electron scattering leads to non-Fermi liquid behavior in Q1D conductors under tilted magnetic fields, extending understanding of electronic states in such systems.

Findings

Inverse scattering time becomes comparable to electron energy in high magnetic fields, indicating non-Fermi liquid behavior.

Fermi liquid theory is restored when the magnetic field aligns closely with crystallographic axes.

Possible experimental observation in (Per)$_2$Au(mnt)$_2$ at fields around 25 T.

Abstract

We consider a theoretical problem of electron-electron scattering time in a quasi-one-dimensional (Q1D) conductor in a magnetic field, perpendicular to its conducting axis. We show that inverse electron-electron scattering time becomes of the order of characteristic electron energy, $1/\tau \sim \epsilon \sim T$, in a high magnetic field, directed far from the main crystallographic axes, which indicates breakdown of the Fermi liquid theory. In a magnetic field, directed close to one of the main crystallographic axis, inverse electron-electron scattering time becomes much smaller than characteristic electron energy and, thus, applicability of Fermi liquid theory restores. We suggest that there exist crossovers between Fermi liquid and some non Fermi liquid states in a strong enough tilted magnetic field. Application of our results to the Q1D conductor (Per)$_2$Au(mnt)$_2$ shows that it has to be possible to observe the above mentioned phenomenon in feasibly high magnetic fields of the order of $H \geq H^* \simeq 25 \ T$.