2004/02/29 by R. L. Doretto, A. O. Caldeira, S. M. Girvin · 3 citations
Engineering · Physics and Astronomy · #Molecular Junctions and Nanostructures #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.71.045339
published as Phys. Rev. B 71, 045339 (2005) · Revised version, new figures
openalex publication_date 2005/01/28 · arxiv created 2005/04/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We develop a bosonization scheme for the two-dimensional electron gas in the presence of a uniform magnetic field perpendicular to the two-dimensional system when the filling factor is one (\ensuremathν=1). We show that the elementary neutral excitations of this system, known as magnetic excitons, can be treated approximately as bosons and we apply the method to the interacting system. We show that the Hamiltonian of the fermionic system is mapped into an interacting bosonic Hamiltonian, where the dispersion relation of the bosons agrees with previous calculations of Kallin and Halperin. The interaction term accounts for the formation of bound states of two-bosons. We discuss a possible relation between these excitations and the skyrmion-antiskyrmion pair, in analogy with the ferromagnetic Heisenberg model. Finally, we analyze the semiclassical limit of the interacting bosonic Hamiltonian and show that the results are in agreement with those derived from the model of Sondhi et al. for the quantum Hall skyrmion.