We show that, m the presence of a strong magnetic field, a two-dimensional interacting electron gas can eifectively be described by a Hamiltonian of'free' hard-Gore anions subject to tl~e magnetic field. According to a new understanding proposed for a set of specific anionic systems, we explain the fractional quantum Hall eifect in a very simple

The phase diagram of a system of electrons hopping on a square lattice and interacting through long-range Coulomb forces is studied as a function of density and interaction strength. The presence of a lattice strongly enhances the stability of the Wigner crystal phase as compared to the case of the two-dimensional electron gas.

The development of "fault-tolerant" quantum computers, unaffected by noise and decoherence, is one the fundamental challenges in technology. One approaches currently followed realization "topologically protected" qubits which make use systems characterized a degenerate ground state composite particles, known as "non-Abelian anyons", able to encode manipulate information non-local manner. In thi...

In this paper we review recent theoretical results for transport in a one-dimensional (1d) Luttinger liquid. For simplicity, we ignore electron spin, and focus exclusively on the case of a single-mode. Moreover, we consider only the effects of a single (or perhaps several) spatially localized impurities. Even with these restrictions, the predicted behavior is very rich, and strikingly different...

The two-dimensional electron gas at the interface between LaAlO(3) and SrTiO(3) has become one of the most fascinating and highly debated oxide systems of recent times. Here we propose that a one-dimensional electron gas can be engineered at the step edges of the LaAlO(3)/SrTiO(3) interface. These predictions are supported by first-principles calculations and electrostatic modeling which elucid...

The energy spectrum of a two-dimensional electron gas (2DEG) interacting with a valence-band hole is studied in the high magnetic field limit as a function of the filling factor ν and the separation d between the electron and hole layers. For d smaller than the magnetic length λ, the hole binds one or more electrons to form neutral (X) or charged (X−) excitons. The low-lying states can be under...

– The Coulomb correlation of a remote electron separated from a two-dimensional electron system (2DES) is studied in the presence of a magnetic field applied perpendicular to the 2DES. The polarization produced by the remote electron is described as the excitation of virtual plasmons in the 2DES. The resulting composite quasi-particle, electron + polarization, is therefore called a plasmon pola...