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Spin-½
About: Spin-½ is a research topic. Over the lifetime, 40423 publications have been published within this topic receiving 796639 citations.
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TL;DR: This work investigates theoretically a strongly interacting Fermi gas in the presence of a Rashba spin-orbit coupling, and calculates the relevant physical quantities, such as the momentum distribution, the single-particle spectral function, and the spin structure factor, that characterize the system.
Abstract: Motivated by the prospect of realizing a Fermi gas with a synthetic non-Abelian gauge field, we investigate theoretically a strongly interacting Fermi gas in the presence of a Rashba spin-orbit coupling. As the twofold spin degeneracy is lifted by spin-orbit interaction, bound pairs with mixed singlet and triplet components emerge, leading to an anisotropic superfluid. We calculate the relevant physical quantities, such as the momentum distribution, the single-particle spectral function, and the spin structure factor, that characterize the system.
143 citations
TL;DR: In this paper, the Pariser-Parr method with semi-empirical electron-repulsion integrals is employed in the unrestricted Hartree-Fock calculation, and the experimental splittings are almost always bounded by those computed with spin densities before and after the annihilation of the major contaminating spin multiplet in the wave function.
Abstract: Unrestricted Hartree—Fock wavefunctions have been computed for a large number of conjugated‐hydrocarbon pi‐electron radicals. Pi‐electron spin‐density and charge‐density functions have been computed with and without annihilation of the major contaminating spin multiplet in the wavefunction.Three different empirical relations have been used to relate our results to proton isotropic hyperfine splittings measured in ESR experiments. These are the simple McConnell expression; the Colpa and Bolton relation which includes a term depending on the excess charge density at the carbon atom; and that due to Giacometti, Nordia, and Pavan which introduces a contribution from the spin densities in the bonds between the carbon and its nearest neighbors. When the Pariser—Parr method with semiempirical electron‐repulsion integrals is employed in the unrestricted Hartree—Fock calculation, then the experimental splittings are almost always bounded by those computed with spin densities before and after the annihilation of th...
143 citations
143 citations
TL;DR: In this paper, the QCD effects beyond the leading logarithmic approximation for polarized deep inelastic electroproduction are considered for polarized DINs and the corrections of the order g 2 to the coefficient functions in the Wilson expansion are calculated by evaluating the Green function for the current product and those for the composite operators.
143 citations