Effects of a far-infrared photon cavity field on the magnetization of a square quantum dot array

Guðmundsson, Viðar; Mughnetsyan, Vram; Abdullah, Nzar Rauf; Tang, Chi-Shung; Moldoveanu, V.; Manolescu, Andrei

doi:10.1103/physrevb.106.115308

Cited by 5 publications

(11 citation statements)

References 52 publications

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“…We repeat here Equation (10) as a small misprint has entered the earlier expression in Ref. [32] regarding the approximation q ≈ k F ∕6. Thus, it is clear that for the 2DES we need all the terms listed for the magnetoplasmon in order to have the treatment of the gap energy and the magnetoplasmon to the same order in 𝛁n e ∕n e .…”

Section: Theoretical Modelmentioning

confidence: 98%

“…The Coulomb interactions of the electrons is taken into account in the framework of local spin-density functional theory (LSDFT) in the presence of a transverse homogeneous magnetic field B = Bê z . [32,33] In the framework of the QEDFT the total one-electron Hamiltonian of the electrons in the periodic potential Equation (1) positioned in a photon cavity can be expressed as follows…”

Section: Theoretical Modelmentioning

confidence: 99%

“…has been previously derived from the Coulomb exchange and correlation functionals in Ref. [32]. In Ref.…”

Section: Theoretical Modelmentioning

confidence: 99%

“…In Ref. [32] it is also shown how the exchange and correlation functional suggested by Johannes Flick [35] can be adapted to a 2DEG in a perpendicular magnetic field resulting in the following expression…”

Section: Theoretical Modelmentioning

confidence: 99%

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Magnetic Properties of A Cavity‐Embedded Square Lattice of Quantum Dots or Antidots

Mughnetsyan,

Gudmundsson,

Abdullah

et al. 2024

Annalen der Physik

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Quantum electrodynamical density functional theory is applied to obtain the electronic density, spin polarization, as well as orbital and spin magnetizations of square periodic arrays of quantum dots or antidots subjected to the influence of a far‐infrared cavity photon field. A gradient‐based exchange‐correlation functional adapted to a 2D electron gas in a transverse homogeneous magnetic field is used in the theoretical framework and calculations. The obtained results predict a non‐trivial effect of the cavity field on the electron distribution in the unit cell of the superlattice, as well as on the orbital and spin magnetizations. The number of electrons per unit cell of the superlattice is shown to play a crucial role in the modification of the magnetization via the electron–photon coupling. The calculations show that cavity photons strengthen the diamagnetic effect in the quantum dot structure, while they weaken the paramagnetic effect in the antidot structure. As the number of electrons per unit cell of the lattice increases, the electron–photon interaction reduces the exchange forces that will otherwise promote strong spin splitting for both the dot and the antidot arrays.

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Section: Theoretical Modelmentioning

confidence: 98%

Section: Theoretical Modelmentioning

confidence: 99%

“…has been previously derived from the Coulomb exchange and correlation functionals in Ref. [32]. In Ref.…”

Section: Theoretical Modelmentioning

confidence: 99%

Section: Theoretical Modelmentioning

confidence: 99%

See 2 more Smart Citations

Magnetic Properties of A Cavity‐Embedded Square Lattice of Quantum Dots or Antidots

Mughnetsyan,

Gudmundsson,

Abdullah

et al. 2024

Annalen der Physik

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“…[ 26 ] MCQW has some unique properties that make them attractive for various applications in electronics and photonics. [ 27–31 ] They are widely used in the development of high‐speed electronic and photonic devices such as detectors, modulators, and lasers. The use of MCQW in these devices can lead to improved performance due to the precise control over the electronic properties provided by the magnetic field confinement.…”

Section: Introductionmentioning

confidence: 99%

The Shape Complexity of a Particle in the Circular Quantum Well with Homogeneous Perpendicular Magnetic Field

Wang,

Liu,

Xie

et al. 2024

Physica Status Solidi (b)

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The shape complexity of a particle confined in the circular quantum well with an external homogeneous perpendicular magnetic field is investigated. First, the Shannon entropy and the averaging electron probability density, as well as the shape complexities in the position and momentum spaces for several quantum states, are computed and discussed. The quantum confinement effect on the shape complexity of this system is extensively explored. Then, the influence of the magnetic field on the shape complexities of the particle confined in the circular quantum well is discussed. It is demonstrated that the shape complexity exhibits scaled invariance under the influence of the magnetic field. However, when the radius of the quantum well is fixed, the shape complexity of the given quantum state changes with the magnetic field strength. Results suggest that the shape complexity of a particle confined in the quantum well can be changed by varying both the strength of the magnetic field and the size of the well. This study has some practical applications in quantum information measurement of the confined particle and can guide future researches for the disorder characteristics of confined particle in semiconductor quantum dots.

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Hofstadter-like spectrum and magnetization of artificial graphene constructed with cylindrical and elliptical quantum dots

Mansoury,

Mughnetsyan,

Manaselyan

et al. 2023

Physics Letters A

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Effects of a far-infrared photon cavity field on the magnetization of a square quantum dot array

Cited by 5 publications

References 52 publications

Magnetic Properties of A Cavity‐Embedded Square Lattice of Quantum Dots or Antidots

Magnetic Properties of A Cavity‐Embedded Square Lattice of Quantum Dots or Antidots

The Shape Complexity of a Particle in the Circular Quantum Well with Homogeneous Perpendicular Magnetic Field

Hofstadter-like spectrum and magnetization of artificial graphene constructed with cylindrical and elliptical quantum dots

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