Nanocircuits in loop structures: Continuous waves preclude gauge invariant wavelengths
Tunnel junctions for quantum computing require discrete spectra from continuous waves on a doubly connected coordinate or loop. For an electron on a metal ring discrete spectra follow from discontinuous Bloch waves. Can both propositions be true? We find using a gauge function originating in the Lag...
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2018-11-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/1.5041020 |
| Summary: | Tunnel junctions for quantum computing require discrete spectra from continuous waves on a doubly connected coordinate or loop. For an electron on a metal ring discrete spectra follow from discontinuous Bloch waves. Can both propositions be true? We find using a gauge function originating in the Lagrangian that continuity on a ring or loop violates gauge invariance of the de Broglie wavelength. This same gauge function shows that Lagrangians for the electron on a ring and the charge on a junction are mutual transforms. Thus persistent current on a metal ring and the Coulomb blockade on a tunnel junction seem to be the same dynamical theory based on discontinuous Bloch waves on the compact perimeter of a circle. |
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| ISSN: | 2158-3226 |