Magnetoplasmons in layered graphene structures

Berman, Oleg L.; Gumbs, Godfrey; Lozovik, Yurii E.

doi:10.1103/physrevb.78.085401

Cited by 84 publications

(77 citation statements)

References 32 publications

(38 reference statements)

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“…Àℏ! À i and 20 A similar expression for the polarizability has also been obtained by Berman et al (2008) and Tahir and Sabeeh (2008), although with approximate form factors.…”

Section: Polarizability For Bþ0mentioning

confidence: 56%

Electronic properties of graphene in a strong magnetic field

2011

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The basic aspects of electrons in graphene (two-dimensional graphite) exposed to a strong perpendicular magnetic field are reviewed. One of its most salient features is the relativistic quantum Hall effect, the observation of which has been the experimental breakthrough in identifying pseudorelativistic massless charge carriers as the low-energy excitations in graphene. The effect may be understood in terms of Landau quantization for massless Dirac fermions, which is also the theoretical basis for the understanding of more involved phenomena due to electronic interactions. The role of electron-electron interactions both in the weakcoupling limit, where the electron-hole excitations are determined by collective modes, and in the strong-coupling regime of partially filled relativistic Landau levels are presented. In the latter limit, exotic ferromagnetic phases and incompressible quantum liquids are expected to be at the origin of recently observed (fractional) quantum Hall states. Furthermore, the electronphonon coupling in a strong magnetic field is discussed. Although the present review has a dominant theoretical character, a close connection with available experimental observation is intended.

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“…Àℏ! À i and 20 A similar expression for the polarizability has also been obtained by Berman et al (2008) and Tahir and Sabeeh (2008), although with approximate form factors.…”

Section: Polarizability For Bþ0mentioning

confidence: 56%

Electronic properties of graphene in a strong magnetic field

2011

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“…17,18 In addition to this electric tuning method, graphene plasmons can also be tuned through magnetic fields. Graphene magnetoplasmons have been studied theoretically in infinite graphene sheets, [19][20][21][22] semi-infinite sheets, 23,24 and finite structures. 25,26 As a linear and gapless energy spectrum, graphene has a different Landau level (LL) distribution compared with a usual 2DES, reading…”

Section: Magneto-optical Conductivities Of Graphenementioning

confidence: 99%

Edge magnetoplasmons and the optical excitations in graphene disks

Apell

Kinaret

2012

Phys. Rev. B

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We discuss the edge magnetoplasmon properties in highly doped graphene disks, and the corresponding optical excitations. Edge magnetoplasmons with nonzero angular momentum (l = 0) have two branches corresponding to different edge current rotations with respect to the magnetic field. The resonance energies of one branch are blueshifted and the other redshifted relative to energies at B = 0, with the energy differences linearly proportional to the magnetic field. Recently, the l = 1 dipole mode has been investigated by two experiments using optical transmission spectroscopy [Crassee et al., Nano Lett. 12, 2470 Yan et al., ibid. 12, 3766 (2012)], and classical cyclotron resonances were found in highly doped graphene samples. These are determined by graphene magneto-optical conductivities, which behave like a conventional two-dimensional electron system in the high doping limit.

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“…They are presented in detail in references [10][11][12][13]. Considering the unscreened bare PHES spectrum we note that there is dispersionless horizontal structure (independent of q) in evidence in both regions I and II, which arises from the Landau-quantized Graphene energy levels, ω ∼ √ n, √ n (which is smeared by an assumed Landau level broadening for computation).…”

Section: Wwwcpp-journalorgmentioning

confidence: 93%

Quantum Theory of Solid State Plasma Dielectric Response

Horing

2010

Contrib. Plasma Phys.

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We review the quantum mechanical derivation of the random phase approximation (RPA) for solid state plasmas, starting from the Hamilton equations for canonically paired "second quantized" creation and annhilation field operators of interacting quantum many-body systems. Discussing variational differentiation, the coupled equations of motion for the quantum field operators are derived. The concept of Green's functions is reviewed and interpreted, first for retarded Green's functions, and their equations of motion are developed from the equations of motion for the field operators. Thermodynamic Green's functions are discussed, and their periodicity/antiperiodicity properties in imaginary time are carefully examined with discussion of Matsubara Fourier series and representation in terms of a spectral weight function. The analytic continuation from imaginary time to real time is treated. Finally, we define nonequilibrium Green's functions and discuss the linearized timedependent Hartree approximation leading to the random phase approximation. An interesting application to the case of Graphene in a perpendicular magnetic field is discussed in detail, along with applications to normal systems, in terms of attendant phenomenology involving electron-hole pair excitations and plasmons.

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Magnetoplasmons in layered graphene structures

Cited by 84 publications

References 32 publications

Electronic properties of graphene in a strong magnetic field

Electronic properties of graphene in a strong magnetic field

Edge magnetoplasmons and the optical excitations in graphene disks

Quantum Theory of Solid State Plasma Dielectric Response

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