Charge and current in the quantum Hall matrix model
نویسندگان
چکیده
منابع مشابه
Bistability in the Electric Current through a Quantum-Dot Capacitively Coupled to a Charge-Qubit
We investigate the electronic transport through a single-level quantum-dot which is capacitively coupled to a charge-qubit. By employing the method of nonequilibrium Green's functions, we calculate the electric current through quantum dot at finite bias voltages. The Green's functions and self-energies of the system are calculated perturbatively and self-consistently to the second order of inte...
متن کاملThe Quantum Hall Effect: Spin-Charge Locking
In two-dimensional electron gas when a large magnetic field is applied in one direction and an electric field perpendicular to it, there is a current in a direction perpendicular to both. This current is called the Hall effect. It remained without quantization until 1980 when it was found that the quantization leads to correct measurement of h/e .Therefore the quantized Hall effect was further ...
متن کاملFractional Charge in Quantum Hall effect
In 1976 Jackiw and Rebbi found 1/2 of a fermion number by using Dirac equation. Schrieffer, in several proposals made an effort to suggest that there is a fractional charge. The calculations of Peierls distortion, Berry’s phase and classical action were presented to accomodate the fractional charge in non-relativistic theory. Laughlin used the antisymmetry to define the charge density per unit ...
متن کاملCharge metastability and hysteresis in the quantum Hall regime
We report simultaneous quasi-dc magnetotransport and high-frequency surface acoustic wave measurements on bilayer two-dimensional electron systems in GaAs. Near strong integer quantized Hall states, a strong magnetic-field-sweep hysteresis in the velocity of the acoustic waves is observed at low temperatures. This hysteresis indicates the presence of a metastable state with anomalously high con...
متن کاملCurrent and charge distributions of the fractional quantum Hall liquids with edges.
An effective Chern-Simons theory for the quantum Hall states with edges is studied by treating the edge and bulk properties in a unified fashion. An exact steady-state solution is obtained for a half-plane geometry using the WinerHopf method. For a Hall bar with finite width, it is proved that the charge and current distributions do not have a diverging singularity. It is shown that there exist...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review B
سال: 2003
ISSN: 0163-1829,1095-3795
DOI: 10.1103/physrevb.68.035327