6533b838fe1ef96bd12a3d3d

RESEARCH PRODUCT

Many-body spectrum and particle localization in quantum dots and finite rotating Bose condensates

Stephanie ReimannM. KoskinenSusanne ViefersM. Manninen

subject

PhysicsCondensed Matter - Mesoscale and Nanoscale PhysicsYrastFOS: Physical sciencesElectronSpectral lineMagnetic fieldQuantum dotTotal angular momentum quantum numberQuantum mechanicsQuantum electrodynamicsAngular momentum couplingMesoscale and Nanoscale Physics (cond-mat.mes-hall)Wave function

description

The yrast spectra (i.e. the lowest states for a given total angular momentum) of quantum dots in strong magnetic fields, are studied in terms of exact numerical diagonalization and analytic trial wave functions. We argue that certain features (cusps) in the many-body spectrum can be understood in terms of particle localization due to the strong field. A new class of trial wavefunctions supports the picture of the electrons being localized in Wigner molecule-like states consisting of consecutive rings of electrons, with low-lying excitations corresponding to rigid rotation of the outer ring of electrons. The geometry of the Wigner molecule is independent of interparticle interactions and the statistics of the particles.

https://dx.doi.org/10.48550/arxiv.cond-mat/0110615