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New Topological Configurations in the Continuous Heisenberg Spin Chain: Lower Bound for the Energy
Author
Source
Advances in Condensed Matter Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-3, 3 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-08-19
Country of Publication
Egypt
No. of Pages
3
Main Subjects
Abstract EN
In order to study the spin configurations of the classical one-dimensional Heisenberg model, we map the normalized unit vector, representing the spin, on a space curve.
We show that the total chirality of the configuration is a conserved quantity.
If, for example, one end of the space curve is rotated by an angle of 2π relative to the other, the Frenet frame traces out a noncontractible loop in SO(3) and this defines a new class of topological spin configurations for the Heisenberg model.
American Psychological Association (APA)
Dandoloff, Rossen. 2015. New Topological Configurations in the Continuous Heisenberg Spin Chain: Lower Bound for the Energy. Advances in Condensed Matter Physics،Vol. 2015, no. 2015, pp.1-3.
https://search.emarefa.net/detail/BIM-1052333
Modern Language Association (MLA)
Dandoloff, Rossen. New Topological Configurations in the Continuous Heisenberg Spin Chain: Lower Bound for the Energy. Advances in Condensed Matter Physics No. 2015 (2015), pp.1-3.
https://search.emarefa.net/detail/BIM-1052333
American Medical Association (AMA)
Dandoloff, Rossen. New Topological Configurations in the Continuous Heisenberg Spin Chain: Lower Bound for the Energy. Advances in Condensed Matter Physics. 2015. Vol. 2015, no. 2015, pp.1-3.
https://search.emarefa.net/detail/BIM-1052333
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052333