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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 1687-8108 1687-8124 |