RT Journal Article T1 Interacting electrons in polygonal quantum dots A1 Creffield, Charles A1 Háusler, Wolfgang A1 Jefferson, John H A1 Sarkar, Sarben AB The low-lying eigenstates of a system of two electrons confined within a two-dimensional quantum dot with a hard polygonal boundary are obtained by means of exact diagonalization. The transition from a weakly correlated charge distribution for small dots to a strongly correlated ‘‘Wigner molecule’’ for large dots is studied, and the behavior at the crossover is determined. In sufficiently large dots, a recently proposed mapping to an effective charge-spin model is investigated, and is found to produce the correct ordering of the energy levels and to give a good first approximation to the size of the level spacings. We conclude that this approach is a valuable method to obtain the low-energy spectrum of few-electron quantum dots. PB American Physical Society SN 1098-0121 YR 1999 FD 1999-04-15 LK https://hdl.handle.net/20.500.14352/59755 UL https://hdl.handle.net/20.500.14352/59755 LA eng NO ©1999 The American Physical Society.C.E.C. is grateful for financial support from the Leverhulme Foundation and W.H. acknowledges support by the Deutsche Forschungsgemeinschaft through SFB 276. EU support from the TMR program is also gratefully acknowledged. NO Leverhulme Foundation NO Deutsche Forschungsgemeinschaft NO EU TMR program DS Docta Complutense RD 4 abr 2025