Magnetic oscillations in silicene

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

doi:10.1016/j.jmmm.2018.01.060

Cited by 9 publications

(10 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Notice also that ∆M s /A + does not depend on B, so the effect of the Zeeman splitting in the magnetization at zero temperature is independent of the magnetic field. Nevertheless, we shall see that the temperature makes the observation of the Zeeman splitting in the magnetization be strongly dependent of B. where ∆M s is given by equation (14) and…”

Section: Spin Splitting In the Mo At Zero Temperaturementioning

confidence: 86%

Influence of temperature on the magnetic oscillations in graphene with spin splitting: a new approach

Escudero¹,

Ardenghi²,

Jasen³

2018

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

We analyze the magnetic oscillations (MO) due to the de Haas-van Alphen effect, in pristine graphene under a perpendicular magnetic field, taking into account the Zeeman effect. We consider a constant Fermi energy, such that the valence band is always full and only the conduction band is available. At zero temperature the MO consist of two sawtooth peaks, one for each spin. Both peaks have the same frequency, but different amplitude and phase. We show that, in order to observe the spin splitting in the MO, Fermi energy of about 0.1 eV is required. At low temperatures we obtain that the MO can be expressed as the MO at zero temperature, plus small Fermi-Dirac like functions, each centered around the MO peaks. Using this expression, we show that the spin splitting is observable in the MO only when the thermal energy is smaller than the Zeeman energy. We also analyze the shift of the MO extrema as the temperature increases. We show that it depends on the magnetic field, which implies a broken periodicity at nonzero temperature. Finally, we obtain an analytical expression for the MO envelope. The results obtained could be used to infer temperature changes from the MO extrema shift and vice versa.

show abstract

Section: Spin Splitting In the Mo At Zero Temperaturementioning

confidence: 86%

Influence of temperature on the magnetic oscillations in graphene with spin splitting: a new approach

Escudero¹,

Ardenghi²,

Jasen³

2018

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

show abstract

“…In the presence of a perpendicular magnetic field B, the Hamiltonian given by equation (1) gives the energy levels [47]…”

Section: Mo At Zero Temperaturementioning

confidence: 99%

“…In this region, the sort of the energy levels depends on the value of E z and B, leading to a seemingly random pattern in the MO. However, it should be noted that if one analyses the specific order of the energy levels at a particular E z , then the MO behaviour can be explained [47].…”

Section: Mo At Zero Temperaturementioning

confidence: 99%

Temperature effect on the magnetic oscillations in 2D materials

Escudero¹,

Ardenghi²,

Jasen³

2019

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

We study the magnetic oscillations (MO) in 2D materials with a buckled honeycomb lattice, considering a perpendicular electric and magnetic field. At zero temperature the MO consist of the sum of four sawtooth oscillations, with two unique frequencies and phases. The values of these frequencies depend on the Fermi energy and electric field, which in turn determine the condition for a beating phenomenon in the MO. We analyse the temperature effect in the MO by considering its local corrections over each magnetization peak, given by Fermi-Dirac like functions. We show that the width of these functions is related to the minimum temperature necessary to observe the spin and valley properties in the MO. In particular, we find that in order to observe the spin splitting, the width must be lower than the MO phase difference. Likewise, in order to observe valley mixing effects, the width must be lower than the MO period. We also show that at high temperatures, all the maxima and minima in the MO are shift to a constant value, in which case we obtain a simple expression for the MO and its envelope. The results obtained show unique features in the MO in 2D materials, given by the interplay between the valley and spin.

show abstract

“…In fact, the MO profile depends on the Landau levels (LL) of the system. In ideal conditions, any distinctive feature of the LL should be observed in the properties of the corresponding MO [4,5]. This is particularly revealing in two dimensional (2D) materials, which have many unique properties not seen in the conventional 2D electron gas [6][7][8].…”

Section: Introductionmentioning

confidence: 98%