A. R. Todd | Searcharxiv

arXiv2007

Interacting like charges in Landau levels: Planar geometry, symmetries, and effective quasiparticles

We consider a system of two interacting particles with like but unequal charges in a magnetic field in the planar geometry. We construct a complete basis of states compatible with both the axial symmetry and magnetic translations. The basis is obtained using a canonical transformation that generates effective quasiparticles with modified interactions. We establish a connection of this transformation with the SU(2) algebra and make use of the SU(2) Baker-Campbell-Hausdorff formulas for evaluating the interaction matrix elements. We calculate analytically the eigenenergies of the problem (Haldane pseudopotentials) in the first few Landau levels for a relatively wide class of interaction potentials.

cond-mat.mes-hall↗

arXiv2006

Optics of charged excitons in quantum wells: Free versus donor-bound complexes

We theoretically study localization of quasi-two-dimensional negatively charged excitons X^- on isolated charged donors in magnetic fields. We consider donors located in a barrier at various distances L from the heteroboundary as well as donors in the quantum well. We establish how many different singlet X_s^- and triplet X_t^- bound states a donor ion D^+ can support in magnetic fields B > 6 T. We find several new bound states, some of which have surprisingly large oscillator strengths.

cond-mat.mes-hall↗