Probing Many-body Liquids and Solids in Two-Dimensional Electron Systems

Vikram V. Deshpande, Marc Bockrath, L. I. Glazman +1 more

V. M. Pudalov

Electrons in two-dimensional (2D) layers at semiconductor interfaces may be driven to a solid phase by reducing their density. Understandmg of this electron liquid-solid transition at mK-temperatures and the origin of the 2D electron solid phase remain challenging. The experimental system under study is subject to strong interactions and disorder. Charge transport in the electron solid phase demonstrates many features anticipated for the pinned crystal, though no direct imaging of a spatial charge- or magnetic-ordering is available by now. Rich information has been recently obtained for dilute electron liquid phase on strong renormalization of the Pauli spin susceptibility, magnetization, and the effective mass. These data provide a set of the Fermi-liquid coupling parameters for densities down to and at the transition. The steep density dependence of the susceptibility is intriguing because it might indicate a developing magnetic transition, though it is more likely reflects a tendency to crystallization.

Christoph Lienau

Yue Yu, Shi-Jie Yang

We consider a quasi-two-dimensional electron gas confined by a harmonic potential within its layer and in a strong and tilted magnetic field. The energies of a Laughlin-type liquid state and of a variational electron solid state are calculated to examine the effect of the tilted field to the solid-liquid phase transition. The critical filling factor is found to increase with increasing tilting angle.

Jaime Merino, A. Levy Yeyati

N. H. March

Many-body effects in jellium, M.P. Tosi solids with weak and strong electron correlations, P. Fulde ground and low-lying excited states of interacting electron systems - a survey and some critical analyses, B. Farid failure of Fermi liquid theory in two and three dimensions, G. Baskaran quantum phase transitions in electronic systems, T.R. Kirkpatrick and D. Belitz density matrices, density functional theory and quantum Monte Carlo calculations, N.H. March.