Ampère phase in frustrated magnets
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866916567428628480 |
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| author | Rougemaille, N. Coraux, J. Canals, B. |
| author_facet | Rougemaille, N. Coraux, J. Canals, B. |
| contents | We report a new class of algebraic spin liquids, in which the macroscopically degenerate ground state manifold is not Coulombic, like in spin ices, but Ampère-like. The local constraint characterizing an Ampère phase is not a Gauss law, but rather an Ampère law, i.e., a condition on the curl of the magnetization vector field and not on its divergence. As a consequence, the excitations evolving in such a manifold are not magnetically charged scalar quasiparticles, the so-called magnetic monopoles in Coulomb phases, but instead vectorial magnetic loops (or fictional current lines). We demonstrate analytically that in a macroscopically degenerate manifold inheriting the properties of a cooperative paramagnet and subject to a local curl-free contraint, magnetic correlations decay in space with a power law whose exponent is the space dimension d: the Ampère phase is a d-algebraic spin liquid. Using Monte Carlo simulations with appropriate cluster dynamics, we confirm this physics numerically in two- and three-dimensional examples, and illustrate how the Ampère phase compares to its Coulomb counterpart. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_08859 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ampère phase in frustrated magnets Rougemaille, N. Coraux, J. Canals, B. Strongly Correlated Electrons Disordered Systems and Neural Networks Other Condensed Matter We report a new class of algebraic spin liquids, in which the macroscopically degenerate ground state manifold is not Coulombic, like in spin ices, but Ampère-like. The local constraint characterizing an Ampère phase is not a Gauss law, but rather an Ampère law, i.e., a condition on the curl of the magnetization vector field and not on its divergence. As a consequence, the excitations evolving in such a manifold are not magnetically charged scalar quasiparticles, the so-called magnetic monopoles in Coulomb phases, but instead vectorial magnetic loops (or fictional current lines). We demonstrate analytically that in a macroscopically degenerate manifold inheriting the properties of a cooperative paramagnet and subject to a local curl-free contraint, magnetic correlations decay in space with a power law whose exponent is the space dimension d: the Ampère phase is a d-algebraic spin liquid. Using Monte Carlo simulations with appropriate cluster dynamics, we confirm this physics numerically in two- and three-dimensional examples, and illustrate how the Ampère phase compares to its Coulomb counterpart. |
| title | Ampère phase in frustrated magnets |
| topic | Strongly Correlated Electrons Disordered Systems and Neural Networks Other Condensed Matter |
| url | https://arxiv.org/abs/2501.08859 |