Flux Fractionalization Transition in Anisotropic S=1 Antiferromagnets and Dimer-Loop Models
We demonstrate that the low-temperature (T) properties of a class of anisotropic spin S=1 kagome (planar pyrochlore) antiferromagnets on a field-induced 1/3-magnetization (1/2-magnetization) plateau are described by a model of fully packed dimers and loops on the honeycomb (square) lattice, with a t...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2025-01-01
|
| Series: | Physical Review X |
| Online Access: | http://doi.org/10.1103/PhysRevX.15.011018 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832575894074425344 |
|---|---|
| author | Souvik Kundu Kedar Damle |
| author_facet | Souvik Kundu Kedar Damle |
| author_sort | Souvik Kundu |
| collection | DOAJ |
| description | We demonstrate that the low-temperature (T) properties of a class of anisotropic spin S=1 kagome (planar pyrochlore) antiferromagnets on a field-induced 1/3-magnetization (1/2-magnetization) plateau are described by a model of fully packed dimers and loops on the honeycomb (square) lattice, with a temperature-dependent relative fugacity w(T) for the dimers. The fully packed O(1) loop model (w=0) and the fully packed dimer model (w=∞) limits of this dimer-loop model are found to be separated by a phase transition at a finite and nonzero critical fugacity w_{c}, with interesting consequences for the spin correlations of the frustrated magnet. The w>w_{c} phase has short loops and spin correlations dominated by power-law columnar order (with subdominant dipolar correlations), while the w<w_{c} phase has dominant dipolar spin correlations and long loops governed by a power-law distribution of loop sizes. Away from w_{c}, both phases are described by a long-wavelength Gaussian effective action for a scalar height field that represents the coarse-grained electrostatic potential of fluctuating dipoles. The destruction of power-law columnar spin order below w_{c} is driven by an unusual flux fractionalization mechanism, topological in character but quite distinct from the usual Kosterlitz-Thouless mechanism for such transitions: Fractional electric fluxes which are bound into integer values for w>w_{c}, proliferate in the w<w_{c} phase and destroy power-law columnar order. |
| format | Article |
| id | doaj-art-e85afb40c34c4de4b3028e5802f391ad |
| institution | Kabale University |
| issn | 2160-3308 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review X |
| spelling | doaj-art-e85afb40c34c4de4b3028e5802f391ad2025-01-31T16:42:55ZengAmerican Physical SocietyPhysical Review X2160-33082025-01-0115101101810.1103/PhysRevX.15.011018Flux Fractionalization Transition in Anisotropic S=1 Antiferromagnets and Dimer-Loop ModelsSouvik KunduKedar DamleWe demonstrate that the low-temperature (T) properties of a class of anisotropic spin S=1 kagome (planar pyrochlore) antiferromagnets on a field-induced 1/3-magnetization (1/2-magnetization) plateau are described by a model of fully packed dimers and loops on the honeycomb (square) lattice, with a temperature-dependent relative fugacity w(T) for the dimers. The fully packed O(1) loop model (w=0) and the fully packed dimer model (w=∞) limits of this dimer-loop model are found to be separated by a phase transition at a finite and nonzero critical fugacity w_{c}, with interesting consequences for the spin correlations of the frustrated magnet. The w>w_{c} phase has short loops and spin correlations dominated by power-law columnar order (with subdominant dipolar correlations), while the w<w_{c} phase has dominant dipolar spin correlations and long loops governed by a power-law distribution of loop sizes. Away from w_{c}, both phases are described by a long-wavelength Gaussian effective action for a scalar height field that represents the coarse-grained electrostatic potential of fluctuating dipoles. The destruction of power-law columnar spin order below w_{c} is driven by an unusual flux fractionalization mechanism, topological in character but quite distinct from the usual Kosterlitz-Thouless mechanism for such transitions: Fractional electric fluxes which are bound into integer values for w>w_{c}, proliferate in the w<w_{c} phase and destroy power-law columnar order.http://doi.org/10.1103/PhysRevX.15.011018 |
| spellingShingle | Souvik Kundu Kedar Damle Flux Fractionalization Transition in Anisotropic S=1 Antiferromagnets and Dimer-Loop Models Physical Review X |
| title | Flux Fractionalization Transition in Anisotropic S=1 Antiferromagnets and Dimer-Loop Models |
| title_full | Flux Fractionalization Transition in Anisotropic S=1 Antiferromagnets and Dimer-Loop Models |
| title_fullStr | Flux Fractionalization Transition in Anisotropic S=1 Antiferromagnets and Dimer-Loop Models |
| title_full_unstemmed | Flux Fractionalization Transition in Anisotropic S=1 Antiferromagnets and Dimer-Loop Models |
| title_short | Flux Fractionalization Transition in Anisotropic S=1 Antiferromagnets and Dimer-Loop Models |
| title_sort | flux fractionalization transition in anisotropic s 1 antiferromagnets and dimer loop models |
| url | http://doi.org/10.1103/PhysRevX.15.011018 |
| work_keys_str_mv | AT souvikkundu fluxfractionalizationtransitioninanisotropics1antiferromagnetsanddimerloopmodels AT kedardamle fluxfractionalizationtransitioninanisotropics1antiferromagnetsanddimerloopmodels |