Intra-Landau-level excitations of the two-dimensional electron–hole liquid

Moskalenko, S. A.; Liberman, Michael A.; Dumanov, E. V.; Stefan, A G; Shmiglyuk, M. I.

doi:10.1088/0953-8984/21/23/235801

Cited by 5 publications

(7 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Results obtained in the paper are in good agreement with previous work. In the limit, excluding the Rashba spin-orbit coupling we get exactly the results obtained in [12].…”

Section: Discussionsupporting

confidence: 80%

“…This result well agrees with the result of [12]. Indeed, if we assume that there is no spin-orbit interaction then by [17] |a 0 | 2 = |d 0 | 2 = 1 and |c 3 | 2 = |b 1 | 2 = 0 , and we will get exactly the same expression for the optical and acoustical plasmon oscillations [12].…”

Section: The Hamiltonian and Equation Of Motion For The Operatorssupporting

confidence: 86%

“…Moskalenko and coauthors [12] investigated the intra-Landau level excitations of the 2D electron-hole liquid (EHL) under the influence strong perpendicular magnetic field. It was shown that such excitations are characterized by two branches of the energy spectrum.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The Plasma Oscillations in a Two-Dimensional Electron–Hole Liquid Under Influence Rashba Spin-Orbit Coupling

Dumanov¹

2013

Journal of Nanoelectronics and Optoelectronics

View full text Add to dashboard Cite

The plasma oscillations of the two-dimensional electron-hole system in the presence of a Rashba spin-orbit coupling are studied. Only the intra-Landau level excitations are taken into account when the electrons and holes are situated on their lowest Landau levels, the filling factor v 2 being less than 1. The ground state of the two-dimensional electron-hole system is supposed to be the electronhole liquid. The dispersion relations for the optical and acoustical plasmon modes were obtained. The acoustical plasmon branch has a linear dispersion law in the range of small wave vectors and monotonically increases with saturation at higher values of wave vectors. The optical plasmon branch has a quadratic dependence in the range of long wavelength and a monotonic increasing with saturation as in the case of acoustical branch.

show abstract

“…Results obtained in the paper are in good agreement with previous work. In the limit, excluding the Rashba spin-orbit coupling we get exactly the results obtained in [12].…”

Section: Discussionsupporting

confidence: 80%

Section: The Hamiltonian and Equation Of Motion For The Operatorssupporting

confidence: 86%

See 1 more Smart Citation

The Plasma Oscillations in a Two-Dimensional Electron–Hole Liquid Under Influence Rashba Spin-Orbit Coupling

Dumanov¹

2013

Journal of Nanoelectronics and Optoelectronics

View full text Add to dashboard Cite

show abstract

“…It depends on concentration as v 2 (1 − v 2 ) what coincides with the concentration dependencies of 3D plasma ω 2 p = 4πe 2 n e ε 0 m Fig.2. Similar dispersion law was obtained for the case of 2D electron-hole liquid (EHL) in a strong perpendicular magnetic field [97], when the influence of the quantum vortices created by electron and hole subsystems is compensated exactly. However, the saturation dependencies in these two cases are completely different.…”

Section: True Quasi and Unstable Nambu-goldstone Modes Of The Bosupporting

confidence: 68%

“…In the case of Bose-Einstein condensed magnetoexcitons it is determined by the ELLs, whereas in the case of EHL [97] it is determined by the Coulomb interaction in the frame of the LLLs. The acoustical plasmon branch has the dispersion law, which is completely different from the optical plasmon oscillations.…”

Section: True Quasi and Unstable Nambu-goldstone Modes Of The Bomentioning

confidence: 99%

Spontaneous Symmetry Breaking and Coherence in Two-Dimensional Electron–Hole and Exciton Systems

Moskalenko¹,

Liberman²,

Dumanov³

et al. 2012

Journal of Nanoelectronics and Optoelectronics

View full text Add to dashboard Cite

The spontaneous breaking of the continuous symmetries of the two-dimensional (2D) electron-hole systems in a strong perpendicular magnetic field leads to the formation of new ground states and determines the energy spectra of the collective elementary excitations appearing over these ground states. In this review the main attention is given to the electron-hole systems forming coplanar magnetoexcitons in the Bose-Einstein condensation (BEC) ground state with the wave vector k = 0, taking into account the excited Landau levels, when the exciton-type elementary excitations coexist with the plasmon-type oscillations. At the same time properties of the two-dimensional electron gas (2DEG) spatially separated as in the case of double quantum wells (DQWs) from the 2D hole gas under conditions of the fractional quantum Hall effect (FQHE) are of great interest because they can influence the quantum states of the coplanar magnetoexcitons when the distance between the DQW layers diminishes. We also consider in this review the bilayer electron systems under conditions of the FQHE with the one half filling factor for each layer and with the total filling factor for two layers equal to unity because the coherence between the electron states in two layers is equivalent to the formation of the quantum Hall excitons (QHExs) in a coherent macroscopic state. This makes it possible to compare the energy spectrum of the collective elementary excitations of the Bose-Einstein condensed QHExs and coplanar magnetoexcitons. The breaking of the global gauge symmetry as well as of the continuous rotational symmetries leads to the formation of the gapless Nambu-Goldstone (NG) modes while the breaking of the local gauge symmetry gives rise to the Higgs phenomenon characterized by the gapped branches of the energy spectrum. These phenomena are equivalent to the emergence of massless and of massive particles, correspondingly, in the relativistic physics. The application of the Nielsen-Chadha theorem establishing the number of the NG modes depending of the number of the broken symmetry operators and the elucidation when the quasi-NG modes appear are demonstrated using as an example related with the BEC of spinor atoms in an optical trap. They have the final aim to better understand the results obtained in the case of the coplanar Bose-Einstein condensed magnetoexcitons. The Higgs phenomenon results in the emergence of the composite particles under the conditions of the FQHE. Their description in terms of the Ginzburg-Landau theory is remembered. The formation of the high density 2D magnetoexcitons and magnetoexciton-polaritons with point quantum vortices attached is suggested. The conditions in which the spontaneous coherence could appear in a system of indirect excitons in a double quantum well structures are discussed. The experimental attempts to achieve these conditions, the main results and the accumulated knowledge are reviewed.

show abstract

Mixed exciton–plasmon collective elementary excitations of the Bose–Einstein condensed two‐dimensional magnetoexcitons with motional dipole moments

Dumanov

Liberman

Moskalenko

et al. 2012

Physica Status Solidi (b)

View full text Add to dashboard Cite

The collective elementary excitations of the two‐dimensional (2D) magnetoexcitons in the state of their Bose–Einstein condensation (BEC) with nonzero wave vector k and inplane parallel oriented motional dipole moments are investigated in the Hartree–Fock–Bogoliubov approximation (HFBA). The breaking of the gauge symmetry is achieved using the Bogoliubov theory of quasiaverages and the Keldysh–Kozlov–Kopaev (KKK) method. The starting Hamiltonian and the Green's functions are determined using the integral two‐particle operators instead of the single‐particle Fermi operators. The infinite chains of equations of motion for the multioperator four‐ and six‐particle Green‐s functions are truncated following the Zubarev method and introducing a small parameter of the perturbation theory related with the lowest Landau levels (LLLs) filling factor and with the phase‐space filling factor. The energy spectrum of the collective elementary excitations consists of the mixed exciton–plasmon energy braches, mixed exciton–plasmon quasienergy branches as well as the optical and acoustical plasmon energy branches. The exciton branches of the spectrum have gaps related with the negative values of the chemical potential and attractive interaction between the 2D megnetoexcitons with inplane, parallel oriented motional dipole moments. The slopes of the mixed exciton–plasmon branches are determined by the group velocities of the moving condensed excitons in the laboratory reference frame. The acoustical and optical plasmon energy branches are gapless. Their dependence on the small wave vectors accounted from the condensate wave vector k is linear and quadratic, respectively, with saturation in the range of high values of the wave vectors.

show abstract

Intra-Landau-level excitations of the two-dimensional electron–hole liquid

Cited by 5 publications

References 28 publications

The Plasma Oscillations in a Two-Dimensional Electron–Hole Liquid Under Influence Rashba Spin-Orbit Coupling

The Plasma Oscillations in a Two-Dimensional Electron–Hole Liquid Under Influence Rashba Spin-Orbit Coupling

Spontaneous Symmetry Breaking and Coherence in Two-Dimensional Electron–Hole and Exciton Systems

Mixed exciton–plasmon collective elementary excitations of the Bose–Einstein condensed two‐dimensional magnetoexcitons with motional dipole moments

Contact Info

Product

Resources

About