Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1999-11-04
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
8 pages, 5 figures, the longer version of cond-mat/9801131 with crucial corrections, accepted for publication by PRB
Scientific paper
10.1103/PhysRevB.61.2855
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 $m_{th}^*=6\epsilon/e^2l_{1/2}$ 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.
Su Zhaobin
Yu Yue
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