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

Pratama, F. R.; Ukhtary, M. Shoufie; Saito, Riichiro

doi:10.1103/physrevb.103.245408

Cited by 4 publications

(4 citation statements)

References 51 publications

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“…For Dirac electrons, we found that the field dependence of M, which is classified in terms of M ∝ B −φ , is modified by the temperature. At low temperatures k B T ≲ E F , our results showed a sub-linear behavior, φ ≃ 0.7-0.8, which agree with the findings of preceding studies of Dirac electrons [12,[14][15][16]. At high temperatures k B T ≳ E F , our results showed a super-linear behavior, φ > 1.…”

Section: Discussionsupporting

confidence: 92%

“…Although they all might be clustered together as 'Dirac electrons', they are present in every dimensionality and matrix size of the Hamiltonian. For two-dimensional (2D) 2 × 2 Dirac electrons, φ = 1/2 is observed at zero temperature, whereas φ = 1 is observed in the weak B/high T limit [12,15]. As for three-dimensional (3D) 2 × 2 Dirac electrons, the power φ is less than 1 at T = 0 [14].…”

Section: Introductionmentioning

confidence: 98%

“…Recently, the strong-field orbital magnetism of Dirac electrons is attracting a considerable amount of interest both from the experimental and theoretical viewpoints accompanied by the progress in the field of topological material science [12][13][14][15][16][17]. The central issue is to clarify the field dependence of magnetization M of Dirac electrons.…”

Section: Introductionmentioning

confidence: 99%

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Orbital magnetization of three-dimensional Dirac electrons in the quantum limit

Kawamura

Fuseya

2023

J. Phys.: Condens. Matter

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In this study, we evaluated the dependence of magnetization of three-dimensional Dirac electrons in the quantum limit on the magnetic ﬁeld and temperature. The magnetization was calculated by diﬀerentiating the free energy with respect to the magnetic ﬁeld. The ﬁeld and temperature dependence of the chemical potential were entirely considered under the canonical ensemble condition. The total magnetization M consisted of two contributions from the conduction Mc and valence Mv bands. Mv was insensitive to temperature and exhibited sub-linear ﬁeld dependence, which is consistent with the previous research on Dirac electrons. By contrast, Mc was sensitive to both temperature and magnetic ﬁeld, yielding a non-trivial contribution to the total M. As a result, the properties of total M changed at approximately kBT ≃ EF , where EFis the Fermi energy measured from the band bottom and kBis the Boltzmann constant. At low temperatures kBT ≲ EF , M exhibited sub-linear ﬁeld dependence, whereas M exhibited super-linear ﬁeld dependence at high temperatures kBT ≳ EF . This qualitative change in the ﬁeld dependence of M will play a signiﬁcant role in the magnetization of Dirac electrons with small EF .

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Section: Discussionsupporting

confidence: 92%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

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Orbital magnetization of three-dimensional Dirac electrons in the quantum limit

Kawamura

Fuseya

2023

J. Phys.: Condens. Matter

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“…The temperature dependence of the magnetic permeability [22,36] enables the magnetic force acting on a graphene disk to change. Illumination is a useful method for heating the levitated graphene disk [37][38][39][40], and optical control has been demonstrated for graphite disks [41,42].…”

Section: Temperature Effect On the Dynamic And Fluctuationsmentioning

confidence: 99%

Dynamic and fluctuation properties of a graphene disk levitated by a diamagnetic force in air

Inui¹,

Maebuchi²

2022

J. Phys. D: Appl. Phys.

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A graphene disk can be levitated above a magnet by a repulsive force arising from their diamagnetic interaction if the product of the magnetic field and its gradient is sufficiently large. The diamagnetic force also causes the rotation of the graphene disk because of the strong anisotropy of the magnetic permeability of graphene; thus a motion of centroid and rotation are considered by solving simultaneous Langevin equations. Furthermore, the dependence of a fluctuations of the position and angle of the levitated graphene disk on the size and temperature is also explained.

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