Many-body effective mass and spin susceptibility in a quasi-two-dimensional electron liquid

Asgari, Reza; Tanatar, B.

doi:10.1103/physrevb.74.075301

Cited by 38 publications

(20 citation statements)

References 66 publications

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“…In Fermi liquid theory, interacting particles can be treated as non-interacting quasi-particles with a renormalized effective mass (m * ) and spin susceptibility, χ * ∝ g * m * , where g * is the Lande g-factor. In the highly interacting, dilute regime (r s > ∼ 3), χ * and m * are typically enhanced compared to the band values and increase with increasing r s , as confirmed both theoretically [1][2][3][4][5][6][7][8] and experimentally. [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23] Besides r s , the spin and/or valley degrees of freedom also play an important role in the re-normalization of m * and χ * since they modify the exchange interaction.…”

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Effective mass and spin susceptibility of dilute two-dimensional holes in GaAs

et al. 2011

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We report effective hole mass (m * ) measurements through analyzing the temperature dependence of Shubnikov-de Haas oscillations in dilute (density p ∼ 7 × 10 10 cm −2 , rs ∼ 6) two-dimensional (2D) hole systems confined to a 20 nm-wide, (311)A GaAs quantum well. The holes in this system occupy two nearly-degenerate spin subbands whose m * we measure to be ∼ 0.2 (in units of the free electron mass). Despite the relatively large rs in our 2D system, the measured m * is in reasonably good agreement with the results of our energy band calculations which do not take interactions into account. We then apply a sufficiently strong parallel magnetic field to fully depopulate one of the spin subbands, and measure m * for the populated subband. We find that this latter m * is close to the m * we measure in the absence of the parallel field. We also deduce the spin susceptibility of the 2D hole system from the depopulation field, and conclude that the susceptibility is enhanced by about 50% relative to the value expected from the band calculations.

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Effective mass and spin susceptibility of dilute two-dimensional holes in GaAs

et al. 2011

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“…4,5 Further, for the same electron density n s , the dimensionless coupling constant r s , which describes the strength of many-body electron-electron interactions, defined as 1/(a B √ πn s ), is large due to the small Bohr radius a B that these materials exhibit. Corrections due to exchange-correlations, therefore, become important and will inevitably renormalize the electron mass 6,7,8 and the Zeeman splitting, 9 and hence, affect the manner in which the spin polarization degree and the Fermi energy of an electron gas are determined by spectroscopy.…”

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Measuring the spin polarization and Zeeman energy of a spin-polarized electron gas: Comparison between Raman scattering and photoluminescence

et al. 2007

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We compare resonant electronic Raman scattering and photoluminescence measurements for the characterization of a spin-polarized two-dimensional electron gas embedded in Cd1−xMnxTe single quantum wells. From Raman scattering by single-particle excitations in a zero magnetic field, we measure the Fermi velocity and then obtain the Fermi energy (as well as the electron density), which is comparable to that extracted from photoluminescence for moderate electron densities, assuming a bare band-edge mass. At large electron densities, the Fermi energies derived from Raman scattering and photoluminescence differ. For an applied in-plane magnetic field and zero wave vector transferred to the electron gas, Raman scattering spectra show peaks at both the Zeeman energy Z, resulting from collective excitations of the spin-polarized electron gas, and the one electron spin-flip energy Z * . Magneto-photoluminescence spectra show conduction band splitting that are equivalent to Z, suggesting that collective effects are present in the photoluminescence spectra. Assuming (as before) an uncorrected mass, the degree of spin polarization ζ determined from the magneto-photoluminescence lineshape is found to differ from that derived from the magnetic field dependent Raman scattering measurements for large electron densities. We attribute the discrepancy in measuring ζ and the Fermi energy to the renormalized mass resulting from many-body electronelectron interactions.

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“…The QP effective mass enhancement is substantially smaller in the Dyson equation calculation than in the OSA, because of cancellations in the expression for the Dyson approach [18,30]. To clarify the effect of chargeand spin-density fluctuations we have also included the RPA results which do not take the spin fluctuations into account.…”

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confidence: 99%

Quasi-particle properties in a quasi-two-dimensional electron liquid

Asgari

Tanatar

2008

Pramana - J Phys

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Abstract.We consider the quasi-particle properties such as the effective mass and spin susceptibility of quasi-two-dimensional electron systems. The finite quantum well width effects are incorporated into the local-field factors that describe the charge and spin correlations. We employ the Fermi-hypernetted chain formalism in conjunction with fluctuationdissipation theorem to obtain the local-field factors. Our results are in good agreement with recent experiments.

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Many-body effective mass and spin susceptibility in a quasi-two-dimensional electron liquid

Cited by 38 publications

References 66 publications

Effective mass and spin susceptibility of dilute two-dimensional holes in GaAs

Effective mass and spin susceptibility of dilute two-dimensional holes in GaAs

Measuring the spin polarization and Zeeman energy of a spin-polarized electron gas: Comparison between Raman scattering and photoluminescence

Quasi-particle properties in a quasi-two-dimensional electron liquid

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