Effective mass of composite fermion: a phenomenological fit in with anomalous propagation of surface acoustic wave

Abstract

We calculate the conductivity associated with the anomalous propagation of a surface acoustic wave above a two-dimensional electron gas at $\nu =1/2$. Murthy-Shankar's middle representation is adopted and a contribution to the response functions beyond the random phase approximation has been taken into account. We give a phenomenological fit for the effective mass of composite fermion in with the experimental data of the anomalous propagation of surface acoustic wave at $\nu =1/2$ and find the phenomenological value of the effective mass is several times larger than the theoretical value $m_{th}^{\ast }=6\epsilon /e^2{l}_{1/2}$ derived from the Hartree-Fock approximation. We compare our phenomenologically fitting composite fermion effective mass with those appeared in the measurements of the activation energy and the Shubnikov-de Haas effect and find that our result is fairly reasonable.

8 pages, 5 figures, the longer version of cond-mat/9801131 with crucial corrections, accepted for publication by PRB

References in corpus (5)

• Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level
• Towards a field theory of the fractional quantum Hall states
• A dipole interpretation of the $\nu =1/2$ state
• Hamiltonian Description of Composite Fermions: Calculation of Gaps
• Effective Mass of Composite Fermions and Fermionic Chern-Simons Theory in Temporal Gauge