TY - JOUR
T1 - Hamiltonian theory of the fractional quantum Hall effect
T2 - Effect of Landau level mixing
AU - Murthy, G.
AU - Shankar, R.
PY - 2002/6/15
Y1 - 2002/6/15
N2 - We derive an effective Hamiltonian in the lowest Landau level (LLL) that incorporates the effects of Landau-level mixing to all higher Landau levels to leading order in the ratio of interaction energy to the cyclotron energy, κ=(e2/εl)/ωc. We then transcribe the Hamiltonian to the composite fermion basis using our Hamiltonian approach, and compute the effect of LL mixing on transport gaps.
AB - We derive an effective Hamiltonian in the lowest Landau level (LLL) that incorporates the effects of Landau-level mixing to all higher Landau levels to leading order in the ratio of interaction energy to the cyclotron energy, κ=(e2/εl)/ωc. We then transcribe the Hamiltonian to the composite fermion basis using our Hamiltonian approach, and compute the effect of LL mixing on transport gaps.
UR - https://www.scopus.com/pages/publications/0037098506
UR - https://www.scopus.com/inward/citedby.url?scp=0037098506&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.65.245309
DO - 10.1103/PhysRevB.65.245309
M3 - Article
AN - SCOPUS:0037098506
SN - 0163-1829
VL - 65
SP - 2453091
EP - 24530911
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 24
M1 - 245309
ER -