Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2004-03-15
Phys. Rev. B 70, 035324 (2004).
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
12 pages, 9 figures, See cond-mat/0303359 for related results
Scientific paper
10.1103/PhysRevB.70.035324
Over the past few years one of us (Murthy) in collaboration with R. Shankar has developed an extended Hamiltonian formalism capable of describing the ground state and low energy excitations in the fractional quantum Hall regime. The Hamiltonian, expressed in terms of Composite Fermion operators, incorporates all the nonperturbative features of the fractional Hall regime, so that conventional many-body approximations such as Hartree-Fock and time-dependent Hartree-Fock are applicable. We apply this formalism to develop a microscopic theory of the collective edge modes in fractional quantum Hall regime. We present the results for edge mode dispersions at principal filling factors $\nu=1/3,1/5$ and $\nu=2/5$ for systems with unreconstructed edges. The primary advantage of the method is that one works in the thermodynamic limit right from the beginning, thus avoiding the finite-size effects which ultimately limit exact diagonalization studies.
Joglekar Yogesh N.
Murthy Ganpathy
Nguyen Hoang K.
No associations
LandOfFree
Collective edge modes in fractional quantum Hall systems 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 Collective edge modes in fractional quantum Hall systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Collective edge modes in fractional quantum Hall systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-573936