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Volumn 79, Issue 19, 2009, Pages

Effective mass suppression upon complete spin-polarization in an isotropic two-dimensional electron system

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EID: 67049155746     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.195311     Document Type: Article
Times cited : (23)

References (45)
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    • We use mb = mt =0.205±0.005 for the out-of-plane valley, based on values reported in different studies of either the cyclotron resonance or the ballistic transport measurements (Refs.).
    • We use mb = mt =0.205±0.005 for the out-of-plane valley, based on values reported in different studies of either the cyclotron resonance or the ballistic transport measurements (Refs.).
  • 33
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    • In a 2DES with finite electron layer thickness, parallel magnetic couples to the orbital motion of the electrons and leads to an increase in m□ [10.1103/PhysRevB.78.233306
    • In a 2DES with finite electron layer thickness, parallel magnetic couples to the orbital motion of the electrons and leads to an increase in m□ [T. Gokmen, M. Padmanabhan, O. Gunawan, Y. P. Shkolnikov, K. Vakili, E. P. DePoortere, and M. Shayegan, Phys. Rev. B 78, 233306 (2008)]. However because of the very small electron layer thickness in our narrow quantum well, we expect that the mass enhancement is less than 5% even at B□ =30□T. 10.1103/PhysRevB.78.233306
    • (2008) Phys. Rev. B , vol.78 , pp. 233306
    • Gokmen, T.1    Padmanabhan, M.2    Gunawan, O.3    Shkolnikov, Y.P.4    Vakili, K.5    Depoortere, E.P.6    Shayegan, M.7
  • 38
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    • We emphasize that in all cases our data can be fit reasonably well to the Dingle expression in the whole temperature and magnetic field range by assuming two constants τq and m□ (see, e.g., Fig. 6). However, this does not justify that τq is independent of T; indeed a given data set can be fit equally well to the Dingle expression with a different, fixed m□, and a τq that has some T dependence. Since m□ and the T dependence of τq cannot be determined independently, in our second analysis method we use the T dependence of the background resistance to estimate the T dependence of 1/ τq and deduce m□.
    • We emphasize that in all cases our data can be fit reasonably well to the Dingle expression in the whole temperature and magnetic field range by assuming two constants τq and m□ (see, e.g., Fig. 6). However, this does not justify that τq is independent of T; indeed a given data set can be fit equally well to the Dingle expression with a different, fixed m□, and a τq that has some T dependence. Since m□ and the T dependence of τq cannot be determined independently, in our second analysis method we use the T dependence of the background resistance to estimate the T dependence of 1/ τq and deduce m□.
  • 39
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    • Although the T dependence of Ro and τq tend to cancel each other in the fitting of m□, it is the T dependence of τq that dominates since τq appears inside the exponential term.
    • Although the T dependence of Ro and τq tend to cancel each other in the fitting of m□, it is the T dependence of τq that dominates since τq appears inside the exponential term.
  • 40
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    • The partially spin-polarized masses are also reported in Ref. However those masses are not deduced at the coincidence condition. Setting the coincidence condition is important because when the spin-up and spin-down levels do not overlap, the gap is smaller than the cyclotron energy and one may get artificially larger values for m□.
    • The partially spin-polarized masses are also reported in Ref. However those masses are not deduced at the coincidence condition. Setting the coincidence condition is important because when the spin-up and spin-down levels do not overlap, the gap is smaller than the cyclotron energy and one may get artificially larger values for m□.
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    • In our study, the "partially-spin-polarized" regime corresponds to spin-polarization ranging from 4% to 20%.
    • In our study, the "partially-spin-polarized" regime corresponds to spin-polarization ranging from 4% to 20%.
  • 45
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    • In 2D systems the nonuniversal correction arising from the finite layer thickness is a conceptually simple form factor that modifies the bare Coulomb interaction. Similarly, the Fermi contour anisotropy can be incorporated in Coulomb interaction by making a coordinate transformation that makes the Fermi surface isotropic but the interactions anisotropic.
    • In 2D systems the nonuniversal correction arising from the finite layer thickness is a conceptually simple form factor that modifies the bare Coulomb interaction. Similarly, the Fermi contour anisotropy can be incorporated in Coulomb interaction by making a coordinate transformation that makes the Fermi surface isotropic but the interactions anisotropic.


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