Publication Type |
Journal Article |
School or College |
College of Science |
Department |
Physics |
Creator |
Mattis, Daniel C. |
Title |
New wave-operator identity applied to the study of persistent currents in 1D |
Date |
1974 |
Description |
We show that a large class of backward-scattering matrix elements involving Δk ~ + 2k F vanish for fermions interacting with two-body attractive forces in one dimension. (These same matrix elements are finite for noninteracting particles and infinite for particles interacting with two-body repulsive forces.) Our results demonstrate the possibility of persistent currents in one dimension at T = 0, and are a strong indication of a metal-to-insulator transition at T = 0 for repulsive forces. They are obtained by use of a convenient representation of the wave operator in terms of density-fluctuation operators. |
Type |
Text |
Publisher |
American Institute of Physics (AIP) |
Journal Title |
Journal of Mathematical Physics |
Volume |
15 |
Issue |
5 |
First Page |
609 |
Last Page |
612 |
DOI |
10.1063/1.1666693 |
citatation_issn |
222488 |
Subject |
Persistent current; Supercurrents |
Subject LCSH |
Fermions; Statistical mechanics; Mathematical physics; Superconductivity |
Language |
eng |
Bibliographic Citation |
Mattis, D. C. (1973). New wave-operator identity applied to the study of persistent currents in 1D. Journal of Mathematical Physics, 15(5), 609-12. |
Rights Management |
(c)American Institute of Physics. The following article appeared in Mattis, D. C., Journal of Mathematical Physics, 15(5), 1973 and may be found at http://dx.doi.org/10.1063/1.1666693. |
Format Medium |
application/pdf |
Format Extent |
391,061 bytes |
Identifier |
ir-main,8097 |
ARK |
ark:/87278/s62r4973 |
Setname |
ir_uspace |
ID |
706671 |
Reference URL |
https://collections.lib.utah.edu/ark:/87278/s62r4973 |