Abstract
Over the past few years one of us (Murthy) in collaboration with 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 v= 1/3 1/5, and 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.
| Original language | English |
|---|---|
| Article number | 035324 |
| Pages (from-to) | 035324-1-035324-10 |
| Journal | Physical Review B - Condensed Matter and Materials Physics |
| Volume | 70 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jul 2004 |
Bibliographical note
Funding Information:We thank Kun Yang for helpful discussions. This work was supported by the National Science Foundation under Grant No. DMR-0311761 (H.N. and G.M.) and by the LDRD at Los Alamos National Laboratory (Y.J.).
Funding
We thank Kun Yang for helpful discussions. This work was supported by the National Science Foundation under Grant No. DMR-0311761 (H.N. and G.M.) and by the LDRD at Los Alamos National Laboratory (Y.J.).
| Funders | Funder number |
|---|---|
| Laboratory Directed Research and Development | |
| Los Alamos National Laboratory | |
| U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China | 0311761 |
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics