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Physical Review B - Condensed Matter and Materials Physics

Volumn 67, Issue 12, 2003, Pages

Persistent currents in Möbius strips

(3) Yakubo, Kousuke a Avishai, Yshai a,b Cohen, Doron b

a HOKKAIDO UNIVERSITY (Japan)

b BEN GURION UNIVERSITY OF THE NEGEV (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

AMPLITUDE MODULATION; ARTICLE; DISPERSION; EQUILIBRIUM CONSTANT; GEOMETRY; MOLECULAR INTERACTION; MOLECULAR MODEL; PERIODICITY; PHYSICS; QUANTUM MECHANICS; STATISTICAL ANALYSIS;

EID: 0038219586 PISSN: 10980121 EISSN: 1550235X Source Type: Journal
DOI: 10.1103/PhysRevB.67.125319 Document Type: Article

Times cited : (46)

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11
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- If, instead of Eq. (2), we assume the periodic BC in the, direction, the Möbius BC of Eq. (3) are modified as (formula presented) This leads to a long-range hopping term in Eq. (5), which does not “discriminate” the (formula presented)th wire. Yet another possibility is to, Eq. (3). This possibility is of, interest, since it corresponds to a geometry that cannot be embedded in a three-dimensional Euclidean space. In the latter case, there is a symmetry breaking that prevents having a stationary current in the, direction
- If, instead of Eq. (2), we assume the periodic BC in the y direction, the Möbius BC of Eq. (3) are modified as (formula presented) This leads to a long-range hopping term in Eq. (5), which does not “discriminate” the (formula presented)th wire. Yet another possibility is to keep Eq. (3). This possibility is of academic interest, since it corresponds to a geometry that cannot be embedded in a three-dimensional Euclidean space. In the latter case, there is a symmetry breaking that prevents having a stationary current in the y direction.

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