Optical probing of composite fermions in a two-dimensional electron gas

Byszewski, M.; Chwalisz, B.; Maude, D. K.; Sadowski, M. L.; Potemski, M.; Saku, T.; Hirayama, Y.; Studenikin, Sergei; Austing, D. G.; Sachrajda, Andrew; Hawrylak, Paweł

doi:10.1038/nphys273

Cited by 52 publications

(55 citation statements)

References 27 publications

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“…4 we show ∆(B) for one-sided doped quantum wells, calculated at a fixed LL filling factor ν = 1/3 (i.e., at concentration proportional to B). This graph could guide design of quantum wells with a desired trion ground state that could be used for an optical probe of the Laughlin liquid (it was shown [6] that only a dark triplet trion leads to discontinuities in PL at ν = 1/3 [7]). Compared to Fig.…”

Section: Resultsmentioning

confidence: 99%

Comparative Numerical Analysis of Quasi-Two-Dimensional Negative and Positive Trions in High Magnetic Fields

Trojnar

Wójs

2008

Acta Phys. Pol. A

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Exact diagonalization calculations in the Haldane spherical geometry are carried out for the three-body Coulomb problem in a quasi-two--dimensional quantum well, in the presence of perpendicular magnetic field. Simultaneous inclusion of several Landau levels and quantum well subbands in the configuration-interaction basis allowed for quantitative description of the coupling between the in-plane dynamics (governed by interplay of cyclotron quantization and Coulomb interactions) and single-particle excitations in the normal direction. The energy spectra of negative and positive trions are compared in symmetric and asymmetric wells with realistic widths and carrier concentrations. Effects of nearby impurities are also studied.

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Section: Resultsmentioning

confidence: 99%

Comparative Numerical Analysis of Quasi-Two-Dimensional Negative and Positive Trions in High Magnetic Fields

Trojnar

Wójs

2008

Acta Phys. Pol. A

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“…A powerful tool used to study interacting 2D carriers is photoluminescence (PL) spectroscopy [7,8]. In a PL experiment, additional electron-hole (e-h) pairs are introduced into the system through photon absorption, and response of the surrounding carriers makes the recombination spectrum sensitive to their many-body dynamics.…”

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confidence: 99%

Magneto-optical probing of weak disorder in a two-dimensional hole gas

et al. 2007

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In two-beam magneto-photoluminescence spectra of a two-dimensional valence hole gas we identify the three-level energy spectrum of a free positive trion with a field-induced singlet-triplet transition. The recombination spectrum of acceptor-bound trions is also detected, including a cyclotron replica corresponding to the hole shake-up process. The emergence of a shake-up peak at low temperature is shown to be a sensitive probe of the presence of a small number of impurities inside the high-mobility quantum well, and its relative position is directly related to the hole cyclotron mass.PACS numbers: 71.35.Ji, 71.35.Pq, 73.20.Mf Quantization of single-particle energy into macroscopically degenerate, widely separated Landau levels (LLs) makes the two-dimensional (2D) gas of charge carriers in a strong magnetic field a unique setting for studying the non-perturbative many-body interaction phenomena. Eminent examples of discoveries made in these systems include fractional quantum Hall effect [1], emergence of incompressible fluids with fractional or nonabelian quasiparticles [2, 3, 4], or formation of topological "skyrmion" excitations [5,6] carrying massive spin per unit charge.A powerful tool used to study interacting 2D carriers is photoluminescence (PL) spectroscopy [7,8]. In a PL experiment, additional electron-hole (e-h) pairs are introduced into the system through photon absorption, and response of the surrounding carriers makes the recombination spectrum sensitive to their many-body dynamics.Since their prediction [9,10] and successful experimental detection [11], trions (X ± = 2e + h or 2h + e) have been recognized to play a crucial role in the PL spectra of 2D gases [12,13,14]. The three-body dynamics of a trion might at first sight seem analogous to the familiar Hydrogen ion problem. However, comparable e and h masses, confinement, magnetic field, nonparabolic and anisotropic hole dispersion, and coupling to the crystal lattice, surrounding carriers, or impurities -all generate complexity making trions fascinating objects of intense experimental [15,16,17,18,19,20] and theoretical [21,22,23,24,25,26,27,28] research.Nonetheless, the role of trions or other e-h complexes in magneto-optical spectra is still far from being completely understood. Especially the hole gas remains relatively less thoroughly explored because of both more complicated valence band structure and a larger difficulty in achieving ultra-high carrier mobility. The last point invokes the puzzling question of the role played by localization or, alternatively, of the influence of weak disorder − polarized PL spectrum of the 2D valence hole gas as a function of the magnetic field. Energy is measured from the exciton line. Arrows mark several peaks identified at high fields: exciton X, trions X + (red for spinsinglet and blue for two triplets), and emission spectrum of the acceptor-bound trion AX + , including a shake-up line AX + SU .in strongly interacting 2D systems of carriers.This very question is addressed in the present paper. We repo...

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“…The long wavelength of these transitions enables several novel applications to quantum optics [12][13][14][15][16][17][18][19][20][21][22] , but increases experimental difficulty. Interband transitions can cover a wide range of wavelengths depending on the band structure and have been extensively studied in AlGaAs heterostructures for spectroscopy of fractional quantum Hall states [23][24][25][26][27][28][29] . Inter-Landau level transitions in graphene have been spectroscopically probed from terahertz up to optical frequencies [30][31][32][33][34][35][36][37][38] .…”

Section: Introductionmentioning

confidence: 99%

High-order multipole radiation from quantum Hall states in Dirac materials

et al. 2017

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We investigate the optical response of strongly disordered quantum Hall states in two-dimensional Dirac materials and find qualitatively different effects in the radiation properties of the bulk versus the edge. We show that the far-field radiation from the edge is characterized by large multipole moments (> 50) due to the efficient transfer of angular momentum from the electrons into the scattered light. The maximum multipole transition moment is a direct measure of the coherence length of the edge states. Accessing these multipole transitions would provide new tools for optical spectroscopy and control of quantum Hall edge states. On the other hand, the far-field radiation from the bulk appears as random dipole emission with spectral properties that vary with the local disorder potential. We determine the conditions under which this bulk radiation can be used to image the disorder landscape. Such optical measurements can probe sub-micron length scales over large areas and provide complementary information to scanning probe techniques. Spatially resolving this bulk radiation would serve as a novel probe of the percolation transition near half-filling.

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Optical probing of composite fermions in a two-dimensional electron gas

Cited by 52 publications

References 27 publications

Comparative Numerical Analysis of Quasi-Two-Dimensional Negative and Positive Trions in High Magnetic Fields

Comparative Numerical Analysis of Quasi-Two-Dimensional Negative and Positive Trions in High Magnetic Fields

Magneto-optical probing of weak disorder in a two-dimensional hole gas

High-order multipole radiation from quantum Hall states in Dirac materials

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