A general formulation for the magnetic oscillations in two dimensional systems

Escudero, Federico Nahuel; Ardenghi, Juan Sebastian; Jasen, Paula Verónica

doi:10.1140/epjb/e2020-10088-3

Cited by 3 publications

(2 citation statements)

References 72 publications

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“…5(a), where the oscillations exhibits a sawtooth-like feature. It is known from the LK theory that the sawtooth-like oscillations is a characteristic of the dHvA effect in 2D systems [25,33,40,41]. We show that the sawtooth oscillation of M can be derived from the zeta functions in Eqs.…”

Section: Resultsmentioning

confidence: 80%

Magnetizations and de Haas-van Alphen oscillations in massive Dirac fermions

Pratama,

Ukhtary,

Saito

2021

Preprint

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We theoretically study magnetic field, temperature, and energy band-gap dependences of magnetizations in the Dirac fermions. We use the zeta function regularization to obtain analytical expressions of thermodynamic potential, from which the magnetization of graphene for strong field/low temperature and weak field/high temperature limits are calculated. Further, we generalize the result by considering the effects of impurity on orbital susceptibility of graphene. In particular, we show that in the presence of impurity, the susceptibility follows a scaling law which can be approximated by the Faddeeva function. In the case of the massive Dirac fermions, we show that a large band-gap gives a robust magnetization with respect to temperature and impurity. In the doped Dirac fermion, we discuss the dependence of the band-gap on the period and amplitude of the de Haas-van Alphen effect.

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Section: Resultsmentioning

confidence: 80%

Magnetizations and de Haas-van Alphen oscillations in massive Dirac fermions

Pratama,

Ukhtary,

Saito

2021

Preprint

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“…Moreover, at low occupancy the spin splitting of the energy levels is much smaller than the LLs difference, so thermal spin excitations are expected to dominate at low temperatures. This feature can have a noticeable effect in the electronic heat capacity (EHC), which is expected to oscillate as a function of the magnetic field [23], much like the oscillations in the magnetization [24] or the conductivity [25]. The study of these oscillations has proved to be a powerful mapping tool, as their amplitudes and frequencies depend on the material properties [26].…”

Section: Introductionmentioning

confidence: 99%

Heat capacity in doped graphene under magnetic fields: the role of spin splitting

Escudero¹,

Ardenghi²,

Jasen³

2020

J. Phys.: Condens. Matter

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We study the electronic heat capacity in doped graphene under magnetic fields. The partition function is calculated considering only the thermal excitations in the last occupied energy levels. Due to the large energy separation between the Landau levels (LLs) and the Zeeman splitting, at low temperatures the heat capacity is dominated by the spin excitations in the last occupied LL. Correspondingly the heat capacity oscillates with maximum amplitude at half filling of each LL. At higher temperatures the inter-LLs excitations dominate the heat capacity, with maximum amplitude at full filling factors. The oscillation amplitudes are compared with the phonon heat capacity C p . It is shown that the spin induced heat capacity oscillations have a maximum amplitude approaching 3% of C p , whereas for the inter-LLs excitations the maximum amplitude is only 0.1% of C p . These amplitudes decrease in the presence of impurities, although the effect is appreciable if the LLs broadening is bigger than the excitation energies.

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