Spin susceptibility of an ultra-low-density two-dimensional electron system

We determine the spin susceptibility in a two-dimensional electron system in GaAs/AlGaAs over a wide range of low densities from 2x10(9) cm(-2) to 4x10(10) cm(-2). Our data can be fitted to an equation that describes the density dependence as well as the polarization dependence of the spin susceptibility. It can account for the anomalous g factors reported recently in GaAs electron and hole systems. The paramagnetic spin susceptibility increases with decreasing density as expected from theoretical calculations.     

Gate-controlled de Haas–van Alphen effect in an interacting two-dimensional electron system

We have measured the de Haas–van Alphen (dHvA) oscillations of a gated two-dimensional electron system formed in a modulation-doped AlGaAs/GaAs heterojunction by means of a novel and highly sensitive cantilever magnetometer. We achieve a sensitivity of at a magnetic field by detecting the deflection of the cantilever using a fiber optic interferometer. The dHvA oscillation at ν=1 yields a thermodynamic energy gap that scales linearly with the applied magnetic field for . The slope corresponds to an exchange enhanced g factor g^*=3.5±0.3 originating from electron–electron interaction in the spin-polarized state of the 2DES.     

Paramagnetic susceptibility of an interacting electron gas at metallic densities

We present a self-consistent theory for the frequency and wave number dependent paramagnetic response of an interacting electron gas. The theory leads to an expression for the ‘local field’ responsible for the susceptibility enhancement, which is determined numerically by solving three coupled non-linear integral equations. Calculated values of the static susceptibility are in good agreement with experiment for simple metals in the entire metallic density range.     

Magnetization of a strongly interacting two-dimensional electron system in perpendicular magnetic fields

We measure the thermodynamic magnetization of a low-disordered, strongly correlated two-dimensional electron system in silicon in perpendicular magnetic fields. A new, parameter-free method is used to directly determine the spectrum characteristics (Landé g factor and the cyclotron mass) when the Fermi level lies outside the spectral gaps and the interlevel interactions between quasiparticles are avoided. Intralevel interactions are found to strongly modify the magnetization, without affecting the determined g* and m*.     

Landau levels in a novel two-dimensional electron system interacting with charged quantum dots

Landau levels have been theoretically investigated in a two-dimensional electron gas near a quantum dot (QD) layer. By a diagrammatical method, we have formulated the self-energy for the Landau level and deduced its relation to the AC conductivity σ_loc(ω) in the QD layer. As an example, we have examined the density of states in the case where σ_loc(ω) is described by Aω^S(S=0.8). It is found that the Landau levels are broadened due to the interaction with the localized electrons in the QDs.     

Tunneling density of States of the interacting two-dimensional electron gas

We investigate the influence of electron-electron interactions on the density of states of a ballistic two-dimensional electron gas. The density of states is determined nonperturbatively by means of path integral techniques allowing for reliable results near the Fermi surface, where perturbation theory breaks down. We find that the density of states is suppressed at the Fermi level to a finite value. This suppression factor grows with decreasing electron density and is weakened by the presence of gates.     

Oscillating susceptibility andg factor of a two-dimensional electron fluid

By making use of a sum rule, the exchange contribution to the grand partition function is obtained for a two-dimensional electron fluid in a strong magnetic field at low temperatures. The dHvA type oscillations of the dielectric constant, internal energy and effectiveg factor are derived explicitly. The amplitude of the oscillations of the effectiveg factor is found to depend on density rather strongly.     

Dependence of spin susceptibility of a two-dimensional electron system on the valley degree of freedom

We report measurements of the spin susceptibility, chi proportional, variant g(v)g*m*, in an AlAs two-dimensional electron system where, via the application of in-plane stress, we transfer electrons from one ellipsoidal conduction-band valley to another (g(v) is the valley degeneracy, and m* and g* are the electron effective mass and g factor). At a given density, when the two valleys are equally populated (g(v)=2), the measured g*m* is smaller than when only one valley is occupied (g(v)=1). This observation counters the common assumption that a two-valley two-dimensional system is effectively more dilute than a single-valley system because of its smaller Fermi energy.     

Pauli spin susceptibility of a strongly correlated two-dimensional electron liquid

Thermodynamic measurements reveal that the Pauli spin susceptibility of strongly correlated two-dimensional electrons in silicon grows critically at low electron densities--behavior that is characteristic of the existence of a phase transition.     

Critical point of an interacting two-dimensional atomic Bose gas

We have measured the critical atom number in an array of harmonically trapped two-dimensional (2D) Bose gases of rubidium atoms at different temperatures. We found this number to be about 5 times higher than predicted by the semiclassical theory of Bose-Einstein condensation (BEC) in the ideal gas. This demonstrates that the conventional BEC picture is inapplicable in an interacting 2D atomic gas, in sharp contrast to the three-dimensional case. A simple heuristic model based on the Berezinskii-Kosterlitz-Thouless theory of 2D superfluidity and the local density approximation accounts well for our experimental results.     

Quantum entanglement in an interacting electron gas

The entanglement between two electrons in a degenerate electron gas is studied as a function of their separation. We have taken into account the screened Coulomb interaction between electrons. It is found that interaction leads to a suppression of the entanglement distance. The interaction leads also to a direct dependence of entanglement distance on density.     

Phase diagram of a two-dimensional electron system

The melting curve of the two-dimensional electron system is interpolated between the known classical and ground state limits. The coexistence curve encloses a finite solid-phase domain, as in the three-dimensional case.     

Inductive excitation of a two-dimensional electron system

The possibility of measuring the off-diagonal component of the magnetoconductivity tensor of a two-dimensional electron gas excited by a linear alternating current is discussed.     

Crossover behavior of disordered interacting two-dimensional electron systems in a parallel magnetic field

The crossover behavior of disordered interacting two-dimensional electron systems in a parallel magnetic field is analyzed. Using the so-called crossover one-loop renormalization group equations for the resistance and electron-electron interaction amplitudes, experimentally observed transformation of the temperature dependence of the resistance from a reentrant (nonmonotonic) behavior in relatively weak fields to an insulating-type behavior in stronger fields is qualitatively explained. The text was submitted by the authors in English.     

Electrically detected magnetic resonance of neutral donors interacting with a two-dimensional electron gas

We have measured the electrically detected magnetic resonance of donor-doped silicon field-effect transistors in resonant X- (9.7 GHz) and W-band (94 GHz) microwave cavities. The two-dimensional electron gas resonance signal increases by 2 orders of magnitude from X to W band, while the donor resonance signals are enhanced by over 1 order of magnitude. Bolometric effects and spin-dependent scattering are inconsistent with the observations. We propose that polarization transfer from the donor to the two-dimensional electron gas is the main mechanism giving rise to the spin resonance signals.     

Oscillating susceptibility andg factor of a two-dimensional electron fluid

By making use of a sum rule, the exchange contribution to the grand partition function is obtained for a two-dimensional electron fluid in a strong magnetic field at low temperatures. The dHvA type oscillations of the dielectric constant, internal energy and effectiveg factor are derived explicitly. The amplitude of the oscillations of the effectiveg factor is found to depend on density rather strongly.This work was supported by the ONR under Contract N00014-79-C-0451