A long narrow gate across a fractional quantum Hall fluid at filling n51/m with odd integer m , creates a one-dimensional ~1D! system that is isomorphic to a disordered 1D electron gas with attractive interactions. By varying the gate potential along such a line junction, it should be possible to tune through the 1D localization transition, predicted for an attractively interacting electron gas...

The quasiparticle effective mass $m^\ast$ of interacting electrons is a fundamental quantity in the Fermi liquid theory. However, precise value uniform electron gas still elusive after decades research. newly developed neural canonical transformation approach [Xie et al., J. Mach. Learn. 1, (2022)] offers principled way to extract by directly calculating thermal entropy at low temperature. mode...

We discuss an exactly solvable model Hamiltonian for describing the interacting electron gas in a quantum dot. Results for a spherical square-well confining potential are presented. The ground state is found to exhibit striking oscillations in spin polarization with dot radius at a fixed electron density. These oscillations are shown to induce characteristic signatures in the momentum density o...

As a rst approximation, a metal can be modelled as an electron gas. A non-interacting electron gas has a continuous spectrum of electron-hole pair excitations. At each wavevector ~ Q with j~ Qj less than the maximum Fermi surface spanning vector (2kF ) there is a continuous set of electron-hole pair states, with a maximum energy but no gap (the minimum energy is zero.) Once the Coulomb interact...

tellurium nanostructures have been prepared by physical vapor deposition method in a tube furnace. the experiments were carried out under argon gas flow at a pressure of 1 mbar. tellurium powder was evaporated by heating at 350°c and 430°c and was condensed on substrates at 110–250°c, in the downstream of argon gas flow. the products were characterized by field emission scanning electron micros...

For the two-dimensional electron gas, the exact high-density limit of the correlation energy is evaluated here numerically for all values of the spin polarization. The result is spinresolved into ↑↑, ↑↓, and ↓↓ contributions and parametrized analytically. Interaction-strength interpolation yields a simple model (LSD) for the correlation energy at finite densities. In recent years, two-dimension...

It is well known that electron interactions in disordered systems lead to quantum corrections conductivity at low temperatures. This paper devoted the investigation of such context spin Hall effect. In Rashba model conductivity, an incoming scatters off Friedel's oscillations density a two-dimensional gas created by impurity resulting two interfering paths. The authors derive kinetic equation c...