TY - JOUR

T1 - Fractional quantum Hall effect in the second Landau level

T2 - The importance of inter-composite-fermion interaction

AU - Töke, Csaba

AU - Peterson, Michael R.

AU - Jeon, Gun Sang

AU - Jain, Jainendra K.

PY - 2005/9/15

Y1 - 2005/9/15

N2 - Exact diagonalization of a two-dimensional electron gas in a strong magnetic field in the disk geometry shows that there exists a filling-factor range in the second Landau level where the states significantly differ from those in the lowest Landau level. We show that the difference arises because the interaction between composite fermions is not negligible in higher Landau levels, as indicated by a substantial mixing between composite-fermion Landau-like levels, or Λ levels. We find that the exact ground state is well reproduced by composite-fermion theory with Λ-level mixing incorporated at the lowest level of approximation. Using the same variational approach in the spherical geometry we estimate the excitation gap at filling 1 3 in the second Landau level (which corresponds to 7 3 of experiment).

AB - Exact diagonalization of a two-dimensional electron gas in a strong magnetic field in the disk geometry shows that there exists a filling-factor range in the second Landau level where the states significantly differ from those in the lowest Landau level. We show that the difference arises because the interaction between composite fermions is not negligible in higher Landau levels, as indicated by a substantial mixing between composite-fermion Landau-like levels, or Λ levels. We find that the exact ground state is well reproduced by composite-fermion theory with Λ-level mixing incorporated at the lowest level of approximation. Using the same variational approach in the spherical geometry we estimate the excitation gap at filling 1 3 in the second Landau level (which corresponds to 7 3 of experiment).

UR - http://www.scopus.com/inward/record.url?scp=29744464484&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.72.125315

DO - 10.1103/PhysRevB.72.125315

M3 - Article

AN - SCOPUS:29744464484

SN - 1098-0121

VL - 72

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 12

M1 - 125315

ER -