In 1962, Overhauser showed that within Hartree-Fock (HF) the electron gas is unstable to a spin-density wave state. Determining the true HF ground state has remained a challenge. Using numerical calculations for finite systems and analytic techniques, we study the unrestricted HF ground state of the three-dimensional electron gas. At high density, we find broken spin symmetry states with a near...

the magnetoresistance of a one-dimensional electron gas in a metallic ferromagnetic nanowire containing two atomic-size domain walls has been investigated in the presence of spin-orbit interaction. the magnetoresistance is calculated in the ballistic regime, within the landauer-büttiker formalism. it has been demonstrated that the conductance of a magnetic nanowire with double domain walls can ...

We consider the contribution of electron-electron interactions to the orbital magnetization of a twodimensional electron gas, focusing on the ballistic limit in the regime of negligible Landau-level spacing. This regime can be described by combining diagrammatic perturbation theory with semiclassical techniques. At sufficiently low temperatures, the interaction-induced magnetization overwhelms ...

M. G. Vavilov,1 I. A. Dmitriev,2,* I. L. Aleiner,3 A. D. Mirlin,2,4,† and D. G. Polyakov2,* 1Center for Materials Sciences and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA 2Institut für Nanotechnologie, Forschungszentrum Karlsruhe, 76021 Karlsruhe, Germany 3Physics Department, Columbia University, New York, New York 10027, USA 4Institut für Theorie der...

Control of dimensionality has proven to be an effective way to manipulate the electronic properties of materials, thereby enabling exotic quantum phenomena, such as superconductivity, quantum Hall effects, and valleytronic effects. Another example is thermoelectricity, which has been theoretically proposed to be favorably controllable by reducing the dimensionality. Here, we verify this proposa...

Basic properties of a two-dimensional electron gas with spatially varying carrier concentration in external magnetic fields are reviewed. The two main problems: modification of galvanomagnetic coefficients due to random fluctuations of equilibrium concentration and the concentration gradient created by the Lorenz force in the Hall direction — are considered for weak, classically strong, and qua...

A theory of scattering by charged dislocation lines in a two-dimensional electron gas (2DEG) is developed. The theory is directed towards understanding transport in AlGaN/GaN high-electron-mobility transistors (HEMT), which have a large number of line dislocations piercing through the 2DEG. The scattering time due to dislocations is derived for a 2DEG in closed form. This work identifies disloc...