Gapless fracton quantum spin liquid and emergent photons in a 2D spin-1 model
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866910272188317696 |
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| author | Niggemann, Nils Adhikary, Meghadeepa Schaden-Thillmann, Yannik Reuther, Johannes |
| author_facet | Niggemann, Nils Adhikary, Meghadeepa Schaden-Thillmann, Yannik Reuther, Johannes |
| contents | Gapless fracton quantum spin liquids are exotic phases of matter described by higher-rank U(1) gauge theories which host gapped and immobile fracton matter excitations as well as gapless photons. Despite well-known field theories, no spin models beyond purely classical systems have been identified to realize these phases. Using error-controlled Green function Monte Carlo, here we investigate a square lattice spin-1 model that shows precise signatures of a fracton quantum spin liquid without indications of conventional ordering. Specifically, the magnetic response exhibits characteristic patterns of suppressed pinch points that accurately match the prediction of a rank-2 U(1) field theory and reveals the existence of emergent photon excitations in 2+1 spacetime dimensions. Remarkably, this type of fracton quantum spin liquid is not only identified in the system's ground state but also in generic low-energy sectors of a strongly fragmented Hilbert space. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_06605 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gapless fracton quantum spin liquid and emergent photons in a 2D spin-1 model Niggemann, Nils Adhikary, Meghadeepa Schaden-Thillmann, Yannik Reuther, Johannes Strongly Correlated Electrons Quantum Gases Gapless fracton quantum spin liquids are exotic phases of matter described by higher-rank U(1) gauge theories which host gapped and immobile fracton matter excitations as well as gapless photons. Despite well-known field theories, no spin models beyond purely classical systems have been identified to realize these phases. Using error-controlled Green function Monte Carlo, here we investigate a square lattice spin-1 model that shows precise signatures of a fracton quantum spin liquid without indications of conventional ordering. Specifically, the magnetic response exhibits characteristic patterns of suppressed pinch points that accurately match the prediction of a rank-2 U(1) field theory and reveals the existence of emergent photon excitations in 2+1 spacetime dimensions. Remarkably, this type of fracton quantum spin liquid is not only identified in the system's ground state but also in generic low-energy sectors of a strongly fragmented Hilbert space. |
| title | Gapless fracton quantum spin liquid and emergent photons in a 2D spin-1 model |
| topic | Strongly Correlated Electrons Quantum Gases |
| url | https://arxiv.org/abs/2508.06605 |