Transition from a One-Dimensional to a Quasi-One-Dimensional State in Interacting Quantum Wires

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

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 ...

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...

One-dimensional quantum wires: A pedestrian approach to bosonization

Calculation of Quasi-one-dimensional Interacting Electron Gas Using the Hartree-Fock Method

In this paper, the Hartree-Fock method has been formulated to investigate some of the ground state properties of quasi-one-dimensional interacting electron gas in the presence of the magnetic field. The bare coulomb interaction between electrons has been assumed. For this system, we have also computed some of its thermodynamic and magnetic properties such as the energy, pressure, incompressibil...