Fractionalization from Kinetic Frustration in Doped Two-Dimensional SU(4) Quantum Magnets
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866908923502526464 |
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| author | Kadow, Wilhelm Morera, Ivan Demler, Eugene Knap, Michael |
| author_facet | Kadow, Wilhelm Morera, Ivan Demler, Eugene Knap, Michael |
| contents | Separating electrons into emergent fractional quasiparticles is a hallmark of exotic quantum phases of matter with strong interactions. Understanding under which circumstances fractionalized excitations appear is a major conceptual challenge and can help realize long sought-after states, such as quantum spin liquids. Here, we identify a distinct mechanism for fractionalization. Starting from the plaquette-ordered ground state of an SU(4) symmetric t-J model at quarter filling on frustrated triangular lattices, we reveal a compelling interplay between order and fractionalization as a function of doping. For hole doping, we find that the kinetic frustration can be relieved by fractionalizing the holes into fermionic spinons and bosonic holons: the holons minimize their kinetic energy when the spinons form a spinon Fermi surface. We support this mechanism analytically in the large-N limit as well as numerically by simulating the SU(4) case with matrix product states on cylinder geometries and with variational Monte Carlo methods on system sizes up to 40x40. Conversely, electron doping drives the system into a ferromagnetic phase, akin to Nagaoka's theorem. We discuss possible experimental realizations in moiré heterostructures as well as ultracold atoms, and propose dynamical probes to search for key characteristics of the fractionalized quasiparticles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_28871 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Fractionalization from Kinetic Frustration in Doped Two-Dimensional SU(4) Quantum Magnets Kadow, Wilhelm Morera, Ivan Demler, Eugene Knap, Michael Strongly Correlated Electrons Mesoscale and Nanoscale Physics Quantum Gases Separating electrons into emergent fractional quasiparticles is a hallmark of exotic quantum phases of matter with strong interactions. Understanding under which circumstances fractionalized excitations appear is a major conceptual challenge and can help realize long sought-after states, such as quantum spin liquids. Here, we identify a distinct mechanism for fractionalization. Starting from the plaquette-ordered ground state of an SU(4) symmetric t-J model at quarter filling on frustrated triangular lattices, we reveal a compelling interplay between order and fractionalization as a function of doping. For hole doping, we find that the kinetic frustration can be relieved by fractionalizing the holes into fermionic spinons and bosonic holons: the holons minimize their kinetic energy when the spinons form a spinon Fermi surface. We support this mechanism analytically in the large-N limit as well as numerically by simulating the SU(4) case with matrix product states on cylinder geometries and with variational Monte Carlo methods on system sizes up to 40x40. Conversely, electron doping drives the system into a ferromagnetic phase, akin to Nagaoka's theorem. We discuss possible experimental realizations in moiré heterostructures as well as ultracold atoms, and propose dynamical probes to search for key characteristics of the fractionalized quasiparticles. |
| title | Fractionalization from Kinetic Frustration in Doped Two-Dimensional SU(4) Quantum Magnets |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics Quantum Gases |
| url | https://arxiv.org/abs/2603.28871 |