Tunable orbital susceptibility in $α$-${\cal T}_3$ tight-binding models

F. Piéchon; J-N. Fuchs; A. Raoux; G. Montambaux

doi:10.1088/1742-6596/603/1/012001

paper

Tunable orbital susceptibility in $α$ - $T_{3}$ tight-binding models

arXiv:1502.01976 · doi:10.1088/1742-6596/603/1/012001

Abstract

We study the importance of interband effects on the orbital susceptibility of three bands $α$ - $T_{3}$ tight-binding models. The particularity of these models is that the coupling between the three energy bands (which is encoded in the wavefunctions properties) can be tuned (by a parameter $α$ ) without any modification of the energy spectrum. Using the gauge-invariant perturbative formalism that we have recently developped, we obtain a generic formula of the orbital susceptibility of $α$ - $T_{3}$ tight-binding models. Considering then three characteristic examples that exhibit either Dirac, semi-Dirac or quadratic band touching, we show that by varying the parameter $α$ and thus the wavefunctions interband couplings, it is possible to drive a transition from a diamagnetic to a paramagnetic peak of the orbital susceptibility at the band touching. In the presence of a gap separating the dispersive bands, we show that the susceptibility inside the gap exhibits a similar dia to paramagnetic transition.

15 pages,5 figs. Proceedings of the International Workshop on Dirac Electrons in Solids 2015Proceedings of the International Workshop on Dirac Electrons in Solids 2015

Tunable orbital susceptibility in $α$ - $T_{3}$ tight-binding models

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Tunable orbital susceptibility in α-T3​ tight-binding models

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Tunable orbital susceptibility in $α$ - $T_{3}$ tight-binding models