Magneto-optical probe of two-dimensional electron liquid and solid phases

Hamiltonian theory of the composite-fermion Wigner crystal

“…We introduce the notation A 0 (q, λ)+A 1 (q, λ) for these parts (similarly for c(q, λ)). Using the canonical transformation (63) and the commutation relations (18) and (19) we derive the following first order flow equations for the operators …”

“…Moreover, close to the Laughlin fractions ν = 1 2p+1 , a dip in the longitudinal resistivity ρ xx is observed [17], resembling the behavior of the correlated liquid state. The measurements of the Hall resistivity ρ xy are surprising as well [17][18][19]. The electronic WC is known to have a vanishing Hall conductance σ xy = 0, which implies a vanishing Hall resistance ρ xy = 0.…”

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

“…24 Unless d is smaller than the magnetic length λ, the PL spectra of such bilayer systems show no recombination from X − states. Instead, they show anomalies [1][2][3][4][5][6][7] at the filling factors ν = 1 3 and 2 3 at which Laughlin incompressible fluid states 39 are formed in the 2DEG and the fractional quantum Hall (FQH) effect 40 is observed in transport experiments. The present paper is a continuation of our earlier work 29 where we studied the energy spectra of 2D fractional quantum Hall systems in the presence of an optically injected valence hole.…”

“…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.…”

Energy spectra and photoluminescence of fractional quantum Hall systems containing a valence-band hole

“…There have been many experimental studies of photoluminescence (PL) in fractional quantum Hall systems during the past decade (Heiman et al 1988, Turberfield et al 1990, Goldberg et al 1990, Buhmann et al 1990, Goldys et al 1992, Kukushkin et al 1994, Takeyama et al 1998, Gravier et al 1998, Kheng et al 1993, Shields et al 1995, Finkelstein et al 1995, Hayne et al 1999, Nickel et al 1998, Tischler et al 1999, Wojtowicz et al 1999, Brown et al 1996, but the data have been rather difficult to interpret. In order to obtain a more complete understanding of the PL process, it is essential to understand the nature of the low-energy states of the electron-hole system, and to evaluate their oscillator strength for radiative recombination.…”