Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1996-10-07
Phys. Rev. Lett. 78, 2188 (1997)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4 pages, Latex
Scientific paper
10.1103/PhysRevLett.78.2188
We study interacting electrons in two dimensions moving in the lowest Landau level under the condition that the Zeeman energy is much smaller than the Coulomb energy and the filling factor is one. In this case, Skyrmion quasiparticles play an important role. Here, we present a simple and transparent derivation of the corresponding effective Lagrangian. In its kinetic part, we find a non-zero Hopf term the prefactor of which we determine rigorously. In the Hamiltonian part, we calculate, by means of a gradient expansion, the Skyrmion-Skyrmion interaction completely up to fourth order in spatial derivatives.
Apel Walter
Bychkov Yu. A.
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