Diffusion Monte Carlo study of a valley degenerate electron gas and application to quantum dots

Details Diffusion Monte Carlo study of a valley degenerate electron gas and application to quantum dots Diffusion Monte Carlo study of a valley degenerate electron gas and application to quantum dots

2008-10-31

arxiv.org/abs/0810.5642v1

Physics

Condensed Matter

Strongly Correlated Electrons

15 pages, 7 figures, PRB (to appear)

Scientific paper

10.1103/PhysRevB.78.195310

A many-flavor electron gas (MFEG) in a semiconductor with a valley degeneracy ranging between 6 and 24 was analyzed using diffusion Monte Carlo (DMC) calculations. The DMC results compare well with an analytic expression derived by one of us [Phys. Rev. B 78, 035111 (2008)] for the total energy to within 1% over an order of magnitude range of density, which increases with valley degeneracy. For Bi2Te3 (six-fold valley degeneracy) the applicable charge carrier densities are between 7*10^19cm^{-3} and 2*10^20cm^{-3}. DMC calculations distinguished between an exact and a useful approximate expression for the 24-fold degenerate MFEG polarizability for wave numbers 2p_F

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