Quantum theory of longitudinal dielectric response properties of a two-dimensional plasma in a magnetic field

Horing, Norman J. M.; Yildiz, M.

doi:10.1016/0003-4916(76)90226-8

Cited by 116 publications

(4 citation statements)

References 18 publications

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“…Such studies of the effects of the magnetic field in nonrelativistic carrier propagation and collective modes date back to the 1960's and 1970's for three and two-dimensional quantum plasmas. 1,2 The relativistic Green's function in a magnetic field was most elegantly first determined by Schwinger, 3 and interesting variants for particular Dirac-like materials have been advanced by Rusin and Zawadski, 4 as well as the author. 5 This paper is focused on yet another important representation for the Landau-quantized Green's function for the group-VI dichalcogenides, particularly in direct time representation, whose behavior is more transparent in the low field limit in comparison with that of the eigenfunction expansion.…”

Section: Introductionmentioning

confidence: 99%

Landau quantized dynamics and spectra for group-VI dichalcogenides, including a model quantum wire

Horing

2017

AIP Advances

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This work is concerned with the derivation of the Green’s function for Landau-quantized carriers in the Group-VI dichalcogenides. In the spatially homogeneous case, the Green’s function is separated into a Peierls phase factor and a translationally invariant part which is determined in a closed form integral representation involving only elementary functions. The latter is expanded in an eigenfunction series of Laguerre polynomials. These results for the retarded Green’s function are presented in both position and momentum representations, and yet another closed form representation is derived in circular coordinates in terms of the Bessel wave function of the second kind (not to be confused with the Bessel function). The case of a quantum wire is also addressed, representing the quantum wire in terms of a model one-dimensional δ(x)-potential profile. This retarded Green’s function for propagation directly along the wire is determined exactly in terms of the corresponding Green’s function for the system without the δ(x)-potential, and the Landau quantized eigenenergy dispersion relation is examined. The thermodynamic Green’s function for the dichalcogenide carriers in a normal magnetic field is formulated here in terms of its spectral weight, and its solution is presented in a momentum/integral representation involving only elementary functions, which is subsequently expanded in Laguerre eigenfunctions and presented in both momentum and position representations.

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Section: Introductionmentioning

confidence: 99%

Landau quantized dynamics and spectra for group-VI dichalcogenides, including a model quantum wire

Horing

2017

AIP Advances

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“…Formulae of a wave dispersion relation of a 2D magnetized dust fluid (equations (16)- (20)) and expression of its density distribution (equation (11)) under external perturbations are obtained, and numerical results due to a laser beam excitation are given as examples to illustrate the structures of wakes for different magnetic field strengths and different excitation speeds. It is found that in the weak-(magnetic) field case, i.e.…”

Section: Discussionmentioning

confidence: 99%

“…which is the dispersion relation of the local electrostatic magneto-plasmon mode for a 2D OCP [20,21]. We now turn back to determine the form of external force F ext .…”

Section: Basic Theorymentioning

confidence: 99%

Formation of 2223 in Bi(Pb)-Sr-Ca-Cu Oxide Resulting from the Reaction of (Bi, Pb)₂Sr₂Cu₁O_x, (Bi, Pb)₂Sr₂Ca₁Cu₂O_x, Ca₂CuO₃ and CuO

Fukushima¹

1990

Jpn. J. Appl. Phys.

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The reaction of (Bi, Pb)2Sr2Cu1O x (2201), (Bi, Pb)2Sr2Ca1Cu2O x (2212), Ca2CuO3 and CuO is studied to clarify the transformation mechanism through which the high T c phase (2223) forms. Before and during the formation of 2223, the following change occurs: 1) Ca and Cu contents in 2212 increase and the c-lattice constant of 2212 decreases; 2) a Ca-rich Sr-Ca-Cu phase (Sr-Ca-Cu I) and a Ca-poor one (Sr-Ca-Cu II), which form before the formation of 2223, react with the above-mentioned 2212 and transform it to 2223.

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“…In this systematic approach, the oneparticle Green's function plays a central role, because one can obtain from the Green's function many system properties such as charge and spin densities, the total energy, the dispersion of elemental excitations and the linear response of the system to an externally applied perturbation. In some cases, typically in a single-particle system, one may calculate the Green's function exactly, even in closed form [5,6]. However, in a many-body system, the particle-particle interaction cannot be handled fully and exactly in general, and one has to make approximations in the calculation of the Green's function.…”

Section: Introductionmentioning

confidence: 99%

Exact result for the Green’s function of a two-dimensional interacting electron gas with spin–orbit interaction in a perpendicular magnetic field

Li¹

2008

J. Phys.: Condens. Matter

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An exact property is established for the Green’s function of a uniform two-dimensional interacting electron gas in a perpendicular magnetic field with spin–orbit interaction. It is shown that the spin-diagonal Green’s function is exactly diagonal in the Landau level index even in the presence of electron–electron interactions. For the Green’s function with different spin indexes, only that with adjacent Landau level indexes is non-zero. This exact result should be helpful in calculating the Green’s function approximately.

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Quantum theory of longitudinal dielectric response properties of a two-dimensional plasma in a magnetic field

Cited by 116 publications

References 18 publications

Landau quantized dynamics and spectra for group-VI dichalcogenides, including a model quantum wire

Landau quantized dynamics and spectra for group-VI dichalcogenides, including a model quantum wire

Formation of 2223 in Bi(Pb)-Sr-Ca-Cu Oxide Resulting from the Reaction of (Bi, Pb)₂Sr₂Cu₁O_x, (Bi, Pb)₂Sr₂Ca₁Cu₂O_x, Ca₂CuO₃ and CuO

Exact result for the Green’s function of a two-dimensional interacting electron gas with spin–orbit interaction in a perpendicular magnetic field

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Quantum theory of longitudinal dielectric response properties of a two-dimensional plasma in a magnetic field

Cited by 116 publications

References 18 publications

Landau quantized dynamics and spectra for group-VI dichalcogenides, including a model quantum wire

Landau quantized dynamics and spectra for group-VI dichalcogenides, including a model quantum wire

Formation of 2223 in Bi(Pb)-Sr-Ca-Cu Oxide Resulting from the Reaction of (Bi, Pb)2Sr2Cu1Ox, (Bi, Pb)2Sr2Ca1Cu2Ox, Ca2CuO3 and CuO

Exact result for the Green’s function of a two-dimensional interacting electron gas with spin–orbit interaction in a perpendicular magnetic field

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Formation of 2223 in Bi(Pb)-Sr-Ca-Cu Oxide Resulting from the Reaction of (Bi, Pb)₂Sr₂Cu₁O_x, (Bi, Pb)₂Sr₂Ca₁Cu₂O_x, Ca₂CuO₃ and CuO