Anomalous transport in pseudospin-1 fermions

Abstract

Electronic transport in the $\alpha -{\mathcal{T}}_3$ model of pseudospin-1 fermions with a finite gap is studied within the semiclassical Boltzmann approximation. We show that coupling of the orbital magnetic moment to the external magnetic field, which is otherwise absent in the massless model, breaks valley symmetry, results in finite and measurable corrections to the longitudinal and Hall conductivity, and yields anomalous Hall conductivity due to the Berry curvature. We also show that, remarkably, magnetoresistance induced by the orbital magnetic moment can be either positive or negative; the sign depends on the amount of disorder, and is different for both conventional and anomalous contributions to the magnetoresistance. Recent material advances and upcoming experiments on cold atoms that may realize pseudospin-1 fermions makes our study timely and appropriate.

9 pages, 9 figures

References in corpus (8)

• The electronic properties of graphene
• Hall effect of triplons in a dimerized quantum magnet
• Magneto-optics of massless Kane fermions: Role of the flat band and unusual Berry phase
• Electron states for gapped pseudospin-1 fermions in the field of charged impurity
• Dynamical piezoelectric and magnetopiezoelectric effects in polar metals from Berry phases and orbital moments
• Intrinsic Hall conductivities induced by the orbital magnetic moment
• Probing Topological signatures in an optically driven $\alpha$-$T_3$ Lattice
• The effect of doping on the lattice parameter and properties of cubic boron nitride

Cited by in corpus (3)

• Holstein polaron in a pseudospin-$1$ quantum spin Hall system: first and second order topological phase transitions
• Orbital magnetization senses the topological phase transition in a spin-orbit coupled $\alpha$-$T_3$ system
• Optically Controlled Topological Phases in the Deformed $\alpha -T_3$ Lattice