Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-11-29
Physics
Condensed Matter
Strongly Correlated Electrons
Typos are corrected. Discussions are clarified
Scientific paper
This paper presents a theoretical study of fractional quantum Hall effect within conventional phenomenological bosonization which is generalized in this paper for a two-dimensional electron gas in a quantizing magnetic field. It is remarkable that the resulting bosonized fermion operator describing electron state with a fixed Landau gauge momentum is effectively two-dimensional (2+1). It is shown that $\nu=1/3$ Laughlin state is an overlap of high harmonics of the electron density fluctuations between two electron states with different momentum defined by Landau gauge wave-function. It is then shown that a small value of the Coulomb interaction stabilizes the Laughlin state. In this case, the energy of the fractional charge excitation scales as a square-root of the magnetic field. The edges are gapless, carrying a fractional charge of $e/3$. When the filling factor is an even fraction, such as $\nu=1/2$, a small value of the Coulomb interaction smears out the overlap and leads the system to a Fermi liquid. Based on the calculations the hierarchy of fractional states is derived.
No associations
LandOfFree
Fractional Quantum Hall Effect from 2+1 Bosonization does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Fractional Quantum Hall Effect from 2+1 Bosonization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fractional Quantum Hall Effect from 2+1 Bosonization will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-17053