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RESEARCH PRODUCT
Billiards in magnetic fields: A molecular dynamics approach
M. AichingerS. JanecekEsa RäsänenEsa Räsänensubject
PhysicsSequenceCondensed Matter - Mesoscale and Nanoscale PhysicsChaoticFOS: Physical sciencesNonlinear Sciences - Chaotic DynamicsClassical limitMagnetic fieldCondensed Matter - Other Condensed MatterNonlinear Sciences::Chaotic DynamicsMolecular dynamicsQuasiperiodicityClassical mechanicsQuantum dotMesoscale and Nanoscale Physics (cond-mat.mes-hall)Chaotic Dynamics (nlin.CD)Integer (computer science)Other Condensed Matter (cond-mat.other)description
We present a computational scheme based on classical molecular dynamics to study chaotic billiards in static external magnetic fields. The method allows to treat arbitrary geometries and several interacting particles. We test the scheme for rectangular single-particle billiards in magnetic fields and find a sequence of regularity islands at integer aspect ratios. In the case of two Coulomb-interacting particles the dynamics is dominated by chaotic behavior. However, signatures of quasiperiodicity can be identified at weak interactions, as well as regular trajectories at strong magnetic fields. Our scheme provides a promising tool to monitor the classical limit of many-electron semiconductor nanostructures and transport systems up to high magnetic fields.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-12-22 |