Uniform electron gases. III. Low-density gases on three-dimensional spheres
نویسندگان
چکیده
منابع مشابه
Uniform electron gases. III. Low-density gases on three-dimensional spheres.
By combining variational Monte Carlo (VMC) and complete-basis-set limit Hartree-Fock (HF) calculations, we have obtained near-exact correlation energies for low-density same-spin electrons on a three-dimensional sphere (3-sphere), i.e., the surface of a four-dimensional ball. In the VMC calculations, we compare the efficacies of two types of one-electron basis functions for these strongly corre...
متن کاملElectron Transport in III-V Nitride Two-Dimensional Electron Gases
We present a study of electron scattering processes in AlGaN/GaN two-dimensional electron gases. A theoretical study of the effect of deformation potential scattering from strain fields surrounding dislocations is presented. The most important scattering mechanisms limiting electron transport are identified. We find that for AlGaN/GaN 2DEGs, mobility is limited by alloy scattering at high 2DEG ...
متن کاملLow dimensional quantum gases
In 2005, we have made further progress in the studies of atom correlations in one-dimensional (1D) Bose gases [1]. We have calculated the density profiles and density correlation functions of a harmonically trapped (nonuniform) 1D Bose gas, using the exact finite-temperature solutions for the uniform case and applying a local density approximation. The results are valid for a trapping potential...
متن کاملLow - dimensional trapped gases
Recent developments in the physics of ultracold gases provide wide possibilities for reducing the dimensionality of space for magnetically or optically trapped atoms. The goal of these lectures is to show that regimes of quantum degeneracy in two-dimensional (2D) and one-dimensional (1D) trapped gases are drastically different from those in three dimensions and to stimulate an interest in low-d...
متن کاملUniform electron gases. I. Electrons on a ring.
We introduce a new paradigm for one-dimensional uniform electron gases (UEGs). In this model, n electrons are confined to a ring and interact via a bare Coulomb operator. We use Rayleigh-Schrödinger perturbation theory to show that, in the high-density regime, the ground-state reduced (i.e., per electron) energy can be expanded as ε(r(s),n)=ε0(n)r(s)(-2)+ε1(n)r(s)(-1)+ε2(n)+ε3(n)r(s+)⋯ , where ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Journal of Chemical Physics
سال: 2015
ISSN: 0021-9606,1089-7690
DOI: 10.1063/1.4929353