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Ground-state energy of spin polarized two-dimensional electron gas in the presence of impurity scattering

Amirhosein Esmailian, Faramarz Kanjouri, M. Sedighirad

Indian Journal of PhysicsDec 22, 20150 citations

Analytic theory of correlation energy and spin polarization in the 2D electron gas

Reza Asgari, B. Davoudi, M. P. Tosi

arXiv:cond-mat/0405217Solid State CommunicationsJun 9, 200416 citations

Dynamical correlation effects on pair-correlation functions of spin polarized two-dimensional electron gas

Krishan Kumar, Vinayak Garg, Rajinder Kumar Moudgil

We report a theoretical study on the spin-resolved pair-correlation functions gσσ′(r) of a two-dimensional electron gas having arbitrary spin polarization ζ by including the dynamics of exchange-correlations within the dynamical self-consistent mean-field theory of Hasegawa and Shimizu. The calculated g↑↑(r), g↓↓(r) and g↑↓(r) exhibit a nice agreement with the recent quantum Monte Carlo simulation data of Gori-Giorgi et al. However, the agreement for the minority spin correlation function g↓↓(r) decreases with increase in ζ and/or decrease in electron density. Nevertheless, the spin-summed correlation function remains close to the simulation data.We report a theoretical study on the spin-resolved pair-correlation functions gσσ′(r) of a two-dimensional electron gas having arbitrary spin polarization ζ by including the dynamics of exchange-correlations within the dynamical self-consistent mean-field theory of Hasegawa and Shimizu. The calculated g↑↑(r), g↓↓(r) and g↑↓(r) exhibit a nice agreement with the recent quantum Monte Carlo simulation data of Gori-Giorgi et al. However, the agreement for the minority spin correlation function g↓↓(r) decreases with increase in ζ and/or decrease in electron density. Nevertheless, the spin-summed correlation function remains close to the simulation data.

AIP conference proceedingsJan 1, 20130 citations

Spin correlations in a quasi-one-dimensional electron gas

B. Tanatar

Physica B Condensed MatterNov 1, 19968 citations

Pair distribution function in a two-dimensional electron gas

Juana Moreno, D. C. Marinescu

We calculate the pair distribution function, g ( r ), in a two-dimensional electron gas and derive a simple analytical expression for its value at the origin as a function of r s . Our approach is based on solving the Schrödinger equation for the two-electron wavefunction in an appropriate effective potential, leading to results that are in good agreement with quantum Monte Carlo data and with the most recent numerical calculations of g (0) (Bulutay and Tanatar 2002 Phys. Rev. B 65 195116). We also show that the spin-up spin-down correlation function at the origin, , is mainly independent of the degree of spin polarization of the electronic system.We calculate the pair distribution function, g ( r ), in a two-dimensional electron gas and derive a simple analytical expression for its value at the origin as a function of r s . Our approach is based on solving the Schrödinger equation for the two-electron wavefunction in an appropriate effective potential, leading to results that are in good agreement with quantum Monte Carlo data and with the most recent numerical calculations of g (0) (Bulutay and Tanatar 2002 Phys. Rev. B 65 195116). We also show that the spin-up spin-down correlation function at the origin, , is mainly independent of the degree of spin polarization of the electronic system.

arXiv:cond-mat/0210137Journal of Physics Condensed MatterSep 8, 20034 citations

Short-range correlations in a two-dimensional electron gas

Marco Polini, Gerardo Sica, B. Davoudi +1 more

We construct a model for the value of the pair distribution function g ↑↓ (0) between antiparallel-spin electrons at contact in a two-dimensional electron gas with e 2 / r interactions, as a function of the coupling-strength parameter r s . The model involves an interpolation between the result of a low- r s expansion, including the second-order direct and exchange contributions to the energy in the paramagnetic state, and the result of a partial-wave phase-shift analysis near Wigner crystallization. The interpolation formula is in excellent agreement with many-body calculations based on the ladder approximation. We further show through an STLS self-consistent calculation that g ↑↓ (0) is essentially independent of the state of spin polarization of the electron gas.We construct a model for the value of the pair distribution function g ↑↓ (0) between antiparallel-spin electrons at contact in a two-dimensional electron gas with e 2 / r interactions, as a function of the coupling-strength parameter r s . The model involves an interpolation between the result of a low- r s expansion, including the second-order direct and exchange contributions to the energy in the paramagnetic state, and the result of a partial-wave phase-shift analysis near Wigner crystallization. The interpolation formula is in excellent agreement with many-body calculations based on the ladder approximation. We further show through an STLS self-consistent calculation that g ↑↓ (0) is essentially independent of the state of spin polarization of the electron gas.

Journal of Physics Condensed MatterMar 29, 200120 citations

Spin polarization in a two-dimensional electron gas

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