Enhancements of the 3/2 and 5/2 frequencies of de Haas-van Alphen oscillations near the Lifshitz transition in the two-dimensional compensated metal with overtilted Dirac cones

Abstract

We study the de Haas-van Alphen (dHvA) oscillations in the two-dimensional compensated metal with overtilted Dirac cones near the Lifshitz transition. We employ the tight-binding model of $\alpha$-(BEDT-TTF)${}_2$I${}_3$, in which the massless Dirac fermions are realized. When a uniaxial pressure $(P)$ along the $y$-axis is applied above $P\simeq 0.2$ kbar in $\alpha$-(BEDT-TTF)${}_2$I${}_3$, one electron pocket, which encloses the overtilted Dirac points, is changed to two electron pockets, i.e., Lifshitz transition happens, while a hole pocket does not change a topology. We show that the Fourier components corresponding to the $3/2$ and $5/2$ areas of the hole pocket are anomalously enhanced in the region of pressure where the Lifshitz transition occurs. This phenomenon will be observed in the two-dimensional overtilted Dirac fermions near the Lifshitz transition.

16 pages, 17 figures

References in corpus (4)

• Phase analysis of quantum oscillations in graphite
• Three-quarter Dirac points, Landau levels and magnetization in $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• Damping of field-induced chemical potential oscillations in ideal two-band compensated metals
• Quantum Hall conductance and de Haas van Alphen oscillation in a tight-binding model with electron and hole pockets for (TMTSF)${}_2$NO${}_3$

Cited by in corpus (1)

• De Haas-van Alphen oscillations near the Lifshitz transition from two electron pockets to one electron pocket in the two-dimensional Dirac fermion systems