Interaction and dynamical binding of spin waves or excitons in quantum Hall systems

Abstract

Interaction between spin waves (or excitons) moving in the lowest Landau level is studied using numerical diagonalization. Becuse of complicated statistics obeyed by these composite particles, their effective interaction is completely different from the dipole-dipole interaction predicted in the model of independent (bosonic) waves. In particular, spin waves moving in the same direction attract one another which leads to their dynamical binding. The interaction pseudopotentials V_[up,up](k) and V_[up,down](k) for two spin waves with equal wavevectors k and moving in the same or opposite directions have been calculated and shown to obey power laws V(k) ~ k^alpha at small k. A high value of alpha_[up,up]~4 explains the occurrence of linear bands in the spin excitation spectra of quantum Hall droplets.

6 pages, 4 figures, submitted to PRB

References in corpus (6)

• Capacitance spectroscopy in quantum dots: Addition spectra and decrease of tunneling rates
• Composite Fermions and quantum Hall systems: Role of the Coulomb pseudopotential
• Spin excitation spectra of integral and fractional quantum Hall systems
• Hund's Rule for Monopole Harmonics, or Why the Composite Fermion Picture Works
• Interaction potential between dynamic dipoles: polarized excitons in strong magnetic fields
• Lowest Landau level bosonization

Cited by in corpus (3)

• Compositeness effects, Pauli's principle and entanglement
• Metastable bound states of the two-dimensional bi-magnetoexcitons in the lowest Landau levels approximation
• Metastable bound states of the quasi-bimagnetoexcitons in the lowest Landau levels approximation