Strings, commensurate and incommensurate vortices in XY models (invited) (abstract)
| ISSN: |
1089-7550
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|---|---|
| Source: |
AIP Digital Archive
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| Topics: |
Physics
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| Notes: |
A class of simple, translationally invariant, nearest-neighbor, isotropic XY models that possess novel topological defects will be presented.1,2 As the first example, I shall present a model that exhibits, in addition to integer vortices, half-integer-vortex, and "string'' excitations. The interaction between the half-integer vortices is a superposition of the usual logarithmic Coulomb potential and a linear potential mediated by the strings. Due to these new excitations the system possesses a rich phase diagram. As the second example, I shall present a model that supports commensurate and incommensurate vortices. Due to a novel ground-state degeneracy, the "charges'' of the incommensurate vortices are fixed by their cost in zero-point entropy and are independent of the parameters in the Hamiltonian. Again, as a result of these new defects the model exhibits a very rich phase diagram.
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| Type of Medium: |
Electronic Resource
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| URL: |
| _version_ | 1798289676117737473 |
|---|---|
| autor | Lee, D. H. |
| book_url | http://dx.doi.org/10.1063/1.338689 |
| datenlieferant | nat_lic_papers |
| hauptsatz | hsatz_simple |
| identnr | NLZ218744145 |
| issn | 1089-7550 |
| journal_name | Journal of Applied Physics |
| materialart | 1 |
| notes | A class of simple, translationally invariant, nearest-neighbor, isotropic XY models that possess novel topological defects will be presented.1,2 As the first example, I shall present a model that exhibits, in addition to integer vortices, half-integer-vortex, and "string'' excitations. The interaction between the half-integer vortices is a superposition of the usual logarithmic Coulomb potential and a linear potential mediated by the strings. Due to these new excitations the system possesses a rich phase diagram. As the second example, I shall present a model that supports commensurate and incommensurate vortices. Due to a novel ground-state degeneracy, the "charges'' of the incommensurate vortices are fixed by their cost in zero-point entropy and are independent of the parameters in the Hamiltonian. Again, as a result of these new defects the model exhibits a very rich phase diagram. |
| package_name | American Institute of Physics (AIP) |
| publikationsjahr_anzeige | 1987 |
| publikationsjahr_facette | 1987 |
| publikationsjahr_intervall | 8014:1985-1989 |
| publikationsjahr_sort | 1987 |
| publikationsort | [S.l.] |
| publisher | American Institute of Physics (AIP) |
| reference | 61 (1987), S. 3612-3612 |
| search_space | articles |
| shingle_author_1 | Lee, D. H. |
| shingle_author_2 | Lee, D. H. |
| shingle_author_3 | Lee, D. H. |
| shingle_author_4 | Lee, D. H. |
| shingle_catch_all_1 | Lee, D. H. Strings, commensurate and incommensurate vortices in XY models (invited) (abstract) A class of simple, translationally invariant, nearest-neighbor, isotropic XY models that possess novel topological defects will be presented.1,2 As the first example, I shall present a model that exhibits, in addition to integer vortices, half-integer-vortex, and "string'' excitations. The interaction between the half-integer vortices is a superposition of the usual logarithmic Coulomb potential and a linear potential mediated by the strings. Due to these new excitations the system possesses a rich phase diagram. As the second example, I shall present a model that supports commensurate and incommensurate vortices. Due to a novel ground-state degeneracy, the "charges'' of the incommensurate vortices are fixed by their cost in zero-point entropy and are independent of the parameters in the Hamiltonian. Again, as a result of these new defects the model exhibits a very rich phase diagram. 1089-7550 10897550 American Institute of Physics (AIP) |
| shingle_catch_all_2 | Lee, D. H. Strings, commensurate and incommensurate vortices in XY models (invited) (abstract) A class of simple, translationally invariant, nearest-neighbor, isotropic XY models that possess novel topological defects will be presented.1,2 As the first example, I shall present a model that exhibits, in addition to integer vortices, half-integer-vortex, and "string'' excitations. The interaction between the half-integer vortices is a superposition of the usual logarithmic Coulomb potential and a linear potential mediated by the strings. Due to these new excitations the system possesses a rich phase diagram. As the second example, I shall present a model that supports commensurate and incommensurate vortices. Due to a novel ground-state degeneracy, the "charges'' of the incommensurate vortices are fixed by their cost in zero-point entropy and are independent of the parameters in the Hamiltonian. Again, as a result of these new defects the model exhibits a very rich phase diagram. 1089-7550 10897550 American Institute of Physics (AIP) |
| shingle_catch_all_3 | Lee, D. H. Strings, commensurate and incommensurate vortices in XY models (invited) (abstract) A class of simple, translationally invariant, nearest-neighbor, isotropic XY models that possess novel topological defects will be presented.1,2 As the first example, I shall present a model that exhibits, in addition to integer vortices, half-integer-vortex, and "string'' excitations. The interaction between the half-integer vortices is a superposition of the usual logarithmic Coulomb potential and a linear potential mediated by the strings. Due to these new excitations the system possesses a rich phase diagram. As the second example, I shall present a model that supports commensurate and incommensurate vortices. Due to a novel ground-state degeneracy, the "charges'' of the incommensurate vortices are fixed by their cost in zero-point entropy and are independent of the parameters in the Hamiltonian. Again, as a result of these new defects the model exhibits a very rich phase diagram. 1089-7550 10897550 American Institute of Physics (AIP) |
| shingle_catch_all_4 | Lee, D. H. Strings, commensurate and incommensurate vortices in XY models (invited) (abstract) A class of simple, translationally invariant, nearest-neighbor, isotropic XY models that possess novel topological defects will be presented.1,2 As the first example, I shall present a model that exhibits, in addition to integer vortices, half-integer-vortex, and "string'' excitations. The interaction between the half-integer vortices is a superposition of the usual logarithmic Coulomb potential and a linear potential mediated by the strings. Due to these new excitations the system possesses a rich phase diagram. As the second example, I shall present a model that supports commensurate and incommensurate vortices. Due to a novel ground-state degeneracy, the "charges'' of the incommensurate vortices are fixed by their cost in zero-point entropy and are independent of the parameters in the Hamiltonian. Again, as a result of these new defects the model exhibits a very rich phase diagram. 1089-7550 10897550 American Institute of Physics (AIP) |
| shingle_title_1 | Strings, commensurate and incommensurate vortices in XY models (invited) (abstract) |
| shingle_title_2 | Strings, commensurate and incommensurate vortices in XY models (invited) (abstract) |
| shingle_title_3 | Strings, commensurate and incommensurate vortices in XY models (invited) (abstract) |
| shingle_title_4 | Strings, commensurate and incommensurate vortices in XY models (invited) (abstract) |
| sigel_instance_filter | dkfz geomar wilbert ipn albert |
| source_archive | AIP Digital Archive |
| timestamp | 2024-05-06T08:04:37.335Z |
| titel | Strings, commensurate and incommensurate vortices in XY models (invited) (abstract) |
| titel_suche | Strings, commensurate and incommensurate vortices in XY models (invited) (abstract) |
| topic | U |
| uid | nat_lic_papers_NLZ218744145 |