Effective one-dimensional square well for two-dimensional quantum wires

One-dimensional Quantum Wires

In this paper we investigate the properties of a one-dimensional quantum wire of interacting electrons in the Wigner crystal limit. Recent theoretical work has explored some of the classical and quantum phase transitions associated with this system. For example, there exists a critical density above which the system can lower its energy by forming a quasi-one-dimensional zig-zag chain. We also ...

Quantum Mechanics of One‐Dimensional Two‐Particle Models. Electrons Interacting in an Infinite Square Well

Articles you may be interested in Pairing interaction and reaction mechanism for one-and two-particle transfer reactions: A simple model in one dimension AIP Conf. Two charged particles in a one-dimensional well Am. Density functional theory of one-dimensional two-particle systems Am. One‐dimensional hydrogen atom in an infinite square well Am. Solutions of SchrOdinger's equation for the system...

Transition from a one-dimensional to a quasi-one-dimensional state in interacting quantum wires.

Upon increasing the electron density in a quantum wire, the one-dimensional electron system undergoes a transition to a quasi-one-dimensional state. In the absence of interactions between electrons, this corresponds to filling up the second subband of transverse quantization, and there are two gapless excitation modes above the transition. On the other hand, strongly interacting one-dimensional...

One-dimensional quantum wires: A pedestrian approach to bosonization

Compressibility measurements of quasi-one-dimensional quantum wires.

We report measurements of the compressibility of a one-dimensional quantum wire, defined in the upper well of a GaAs/AlGaAs double quantum well heterostructure. A wire defined simultaneously in the lower well probes the ability of the upper wire to screen the electric field from a biased surface gate. The technique is sensitive enough to resolve spin splitting of the subbands in the presence of...