Relativistic Fermion on a Ring: Energy Spectrum and Persistent Current
The energy and persistent current spectra for a relativistic fermion on a ring are studied in detail. The nonlinear nature of persistent current in relativistic regime and its dependence on particle mass and ring radius are analysed thoroughly. For a particular ring radius, we find the existence of...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Advances in Condensed Matter Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/592402 |
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| author | Sumit Ghosh |
| author_facet | Sumit Ghosh |
| author_sort | Sumit Ghosh |
| collection | DOAJ |
| description | The energy and persistent current spectra for a relativistic fermion on a ring are studied in
detail. The nonlinear nature of persistent current in relativistic regime and its dependence
on particle mass and ring radius are analysed thoroughly. For a particular ring radius, we
find the existence of a critical mass at which the single ring current does not depend on the
flux. In lower mass regime, the total current spectrum shows plateaus at different height
which appears periodically. The susceptibility as well shows periodic nature with amplitude
depending on particle mass. As we move from higher mass to lower mass regime, we find that
the system turns into paramagnetic from diamagnetic. We also show that same behaviour
is observed if one vary the radius of the ring for a fixed particle mass. Hence the larger
ring will be diamagnetic while the smaller one will be paramagnetic. Finally we propose an
experiment to verify our findings. |
| format | Article |
| id | doaj-art-222910df58c64025950d7dfdd6c0c0e5 |
| institution | Kabale University |
| issn | 1687-8108 1687-8124 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Condensed Matter Physics |
| spelling | doaj-art-222910df58c64025950d7dfdd6c0c0e52025-02-03T01:26:03ZengWileyAdvances in Condensed Matter Physics1687-81081687-81242013-01-01201310.1155/2013/592402592402Relativistic Fermion on a Ring: Energy Spectrum and Persistent CurrentSumit Ghosh0S N Bose National Centre for Basic Sciences, Block JD, Sector III, Salt Lake, Kolkata 700098, IndiaThe energy and persistent current spectra for a relativistic fermion on a ring are studied in detail. The nonlinear nature of persistent current in relativistic regime and its dependence on particle mass and ring radius are analysed thoroughly. For a particular ring radius, we find the existence of a critical mass at which the single ring current does not depend on the flux. In lower mass regime, the total current spectrum shows plateaus at different height which appears periodically. The susceptibility as well shows periodic nature with amplitude depending on particle mass. As we move from higher mass to lower mass regime, we find that the system turns into paramagnetic from diamagnetic. We also show that same behaviour is observed if one vary the radius of the ring for a fixed particle mass. Hence the larger ring will be diamagnetic while the smaller one will be paramagnetic. Finally we propose an experiment to verify our findings.http://dx.doi.org/10.1155/2013/592402 |
| spellingShingle | Sumit Ghosh Relativistic Fermion on a Ring: Energy Spectrum and Persistent Current Advances in Condensed Matter Physics |
| title | Relativistic Fermion on a Ring: Energy Spectrum and Persistent Current |
| title_full | Relativistic Fermion on a Ring: Energy Spectrum and Persistent Current |
| title_fullStr | Relativistic Fermion on a Ring: Energy Spectrum and Persistent Current |
| title_full_unstemmed | Relativistic Fermion on a Ring: Energy Spectrum and Persistent Current |
| title_short | Relativistic Fermion on a Ring: Energy Spectrum and Persistent Current |
| title_sort | relativistic fermion on a ring energy spectrum and persistent current |
| url | http://dx.doi.org/10.1155/2013/592402 |
| work_keys_str_mv | AT sumitghosh relativisticfermiononaringenergyspectrumandpersistentcurrent |