A FAMILY OF NONCOMMUTATIVE GEOMETRIES
| Autor: | Pulak Ranjan Giri, Debabrata Sinha |
|---|---|
| Rok vydání: | 2011 |
| Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics Condensed Matter - Mesoscale and Nanoscale Physics FOS: Physical sciences General Physics and Astronomy Astronomy and Astrophysics Landau quantization Quantum Hall effect Noncommutative geometry symbols.namesake High Energy Physics - Theory (hep-th) Mesoscale and Nanoscale Physics (cond-mat.mes-hall) Fractional quantum Hall effect symbols Hamiltonian (quantum mechanics) Mathematical physics Filling fraction |
| Zdroj: | Modern Physics Letters A. 26:2213-2221 |
| ISSN: | 1793-6632 0217-7323 |
| Popis: | It is shown that the non-commutativity in quantum Hall system may get modified. The self-adjoint extension of the corresponding Hamiltonian leads to a family of non-commutative geometries labeled by the self-adjoint extension parameters. We explicitly perform an exact calculation using a singular interaction and show that, when projected to a certain Landau level, the emergent non-commutative geometries of the projected coordinates belong to a one parameter family. There is a possibility of obtaining the filling fraction of fractional quantum Hall effect by suitably choosing the value of the self-adjoint extension parameter. Comment: 5 pages, revtex |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|