Erratum: Evolution of the interband absorption threshold with the density of a two-dimensional electron gas [Phys. Rev. B<b>54</b>, R11 082 (1996)]

Brown, Suzanne; Young, Jeff F.; Brum, José M.; Hawrylak, Paweł; Wasilewski, Z. R.

doi:10.1103/physrevb.56.1637

Cited by 11 publications

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“…The magneto-optical properties of quasi-twodimensional (2D) electron systems have been intensively investigated experimentally [1][2][3][4][5][6][7][8][9][10][11][12][13] and theoretically.…”

Section: Introductionmentioning

confidence: 99%

Charged excitons in a dilute two-dimensional electron gas in a high magnetic field

2000

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A theory of charged excitons X − in a dilute 2D electron gas in a high magnetic field is presented. In contrast to previous calculations, three bound X − states (one singlet and two triplets) are found in a narrow and symmetric GaAs quantum well. The singlet and a "bright" triplet are the two optically active states observed in experiments. The bright triplet has the binding energy of about 1 meV, smaller than the singlet and a "dark" triplet. The interaction of bound X − 's with a dilute 2D electron gas is investigated using exact diagonalization techniques. It is found that the short-range character of the e-X − interactions effectively isolates bound X − states from a dilute e-h plasma. This results in the insensitivity of the photoluminescence spectrum to the filling factor ν, and an exponential decrease of the oscillator strength of the dark triplet X − as a function of ν −1 .71. 35.Ji, 71.35.Ee, 73.20.Dx

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Section: Introductionmentioning

confidence: 99%

Charged excitons in a dilute two-dimensional electron gas in a high magnetic field

2000

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“…The ground state energy of charged X À complex, unlike neutral exciton, exhibits Aharonov-Bohm oscillations for any disk radius. The emission energy is found as a difference of Aharonov-Bohm oscillations in the charged exciton and the final state electron energy.Introduction The evolution of the optical properties of low dimensional semiconductor structures with carrier density has been extensively studied [1][2][3][4][5][6][7][8][9][10][11][12][13]. It is now well recognised that the low-density regime is dominated by the exciton and charged exciton absorption/recombination.…”

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Negatively Charged Exciton on a Quantum Ring

Korkusiński

Hawrylak

Bayer

2002

phys. stat. sol. (b)

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PACS: 71.35.Ji Dedicated to Professor Dr. Roland Zimmermann on the occasion of his 60th birthdayWe present calculations of the magnetic field dependence of the emission spectrum of charged exciton (X À ) localised on a quantum ring. They are carried out using exact diagonalisation techniques in a coordinate system localised on a valence hole. The ground state energy of charged X À complex, unlike neutral exciton, exhibits Aharonov-Bohm oscillations for any disk radius. The emission energy is found as a difference of Aharonov-Bohm oscillations in the charged exciton and the final state electron energy.Introduction The evolution of the optical properties of low dimensional semiconductor structures with carrier density has been extensively studied [1][2][3][4][5][6][7][8][9][10][11][12][13]. It is now well recognised that the low-density regime is dominated by the exciton and charged exciton absorption/recombination. The understanding of the role of negatively charged exciton, including dynamical processes, has been advanced largely by the work of Zimmermann and co-workers [12]. Our own discussion of negatively charged exciton was motivated by the attempt to understand the approach to the high density limit dominated by Fermi edge singularity [4]. In this limit the role of finite valence hole mass in the emission/absorption is a serious and unsolved problem [4]. A possible solution to the problem lies in the coordinate system where hole mass can be treated perturbatively. We studied such a coordinate system in the simplest case of a twodimensional X À [13]. Motivated by recent experiments on charged excitons in quantum rings [14] we extend the approach of Ref.[13] to quantum rings and to magnetic fields.In quantum ring geometry the phase of the single electron wavefunction changes with the external magnetic field. This results in oscillations of the electronic energy as a function of the number of magnetic flux quanta threading the ring, the AharonovBohm (AB) oscillations [15]. The possibility of observing Aharonov-Bohm oscillations in quantum rings was studied experimentally [16][17][18] and theoretically. Theoretical work started with Chaplik and Govorov [19] who studied excitons and charged exciton complexes. Finite size effects of quantum rings on magneto-excitons were also extensively studied [20][21][22]. It appears that in spite of its charge neutrality, the low-lying energy levels and oscillator strengths of an exciton also exhibit the AB oscillations as a function of the magnetic field, provided that the ring is small and narrow.

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“…The optical properties of quasi-two-dimensional (2D) electron systems in high magnetic fields have been extensively studied in the recent years both experimentally [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] and theoretically. [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38] In symmetrically doped quantum wells (QW), where both conduction electrons and valence holes are confined in the same 2D layer, the photoluminescence (PL) spectrum of an electron gas (2DEG) probes the binding energy and optical properties of neutral and charged excitons (bound states of one or two electrons and a hole, X = e-h and X − = 2e-h), rather than the original correlations of the 2DEG itself.…”

Section: Introductionmentioning

confidence: 99%

Photoluminescence from fractional quantum Hall systems: Role of separation between electron and hole layers

Wójs

Quinn

2000

Phys. Rev. B

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The photoluminescence (PL) spectrum of a two-dimensional electron gas (2DEG) in the fractional quantum Hall regime is studied as a function of the separation d between the electron and valence hole layers. The abrupt change in the response of the 2DEG to the optically injected hole at d of the order of the magnetic length λ results in a complete reconstruction of the PL spectrum. At d < λ, the hole binds one or two electrons to form neutral (X) or charged (X − ) excitons, and the PL spectrum probes the lifetimes and binding energies of these states rather than the original correlations of the 2DEG. At d > 2λ, depending on the filling factor ν, the hole either decouples from the 2DEG to form an "uncorrelated" state h or binds one or two Laughlin quasielectrons (QE) to form fractionally charged excitons hQE or hQE2. The strict optical selection rules for bound states are formulated, and the only optically active ones turn out to be h, hQE* (an excited state of the dark hQE), and hQE2. The "anyon exciton" hQE3 suggested in earlier studies is neither stable nor radiative at any value of d. The critical dependence of the stability of different states on the presence of QE's in the 2DEG explains the observed anomalies in the PL spectrum at ν =

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Erratum: Evolution of the interband absorption threshold with the density of a two-dimensional electron gas [Phys. Rev. B54, R11 082 (1996)]

Cited by 11 publications

References 0 publications

Charged excitons in a dilute two-dimensional electron gas in a high magnetic field

Charged excitons in a dilute two-dimensional electron gas in a high magnetic field

Negatively Charged Exciton on a Quantum Ring

Photoluminescence from fractional quantum Hall systems: Role of separation between electron and hole layers

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