Effective mass of quasiparticles in a Wigner liquid

The exchange interaction and effective mass of fermionic excitation in a low-density (r ^S ? 1) system of two-dimensional electrons are estimated from simple considerations. For the ratio of effective (renormalized due to interaction) to band mass, the dependence ${{m^* } \mathord{\left/ {\vphantom {{m^* } m}} \right. \kern-0em} m} = ({A \mathord{\left/ {\vphantom {A {\sqrt {r_S } }}} \right. \kern-0em} {\sqrt {r_S } }})\exp (\alpha \sqrt {r_S } )$ is obtained, where A and α are constants on the order of unity. The effective g factor is independent of r ^S and is larger than its bare value in the two-valley case (silicon). Comparison with experimental data shows a qualitative agreement with silicon.