Immobile and mobile excitations of three-spin interactions on the diamond chain, by Maximilian Bayer, Maximilian Vieweg, Kai Phillip Schmidt

SciPost Physics Core Home Authoring Refereeing Submit a manuscript About Immobile and mobile excitations of three-spin interactions on the diamond chain Maximilian Bayer, Maximilian Vieweg, Kai Phillip Schmidt SciPost Phys. Core 9, 023 (2026) · published 14 April 2026 doi: 10.21468/SciPostPhysCore.9.2.023 pdf BiBTeX RIS Submissions/Reports Abstract We present a solvable one-dimensional spin-1/2 model on the diamond chain featuring three-spin interactions, which displays both, mobile excitations driving a second-order phase transition between an ordered and a $\mathbb{Z}_2$-symmetry broken phase, as well as non-trivial fully immobile excitations. The model is motivated by the physics of fracton excitations, which only possess mobility in a reduced dimension compared to the full model. We provide an exact mapping of this model to an arbitrary number of independent transverse-field Ising chain segments with open boundary conditions. The number and lengths of these segments correspond directly to the number of immobile excitations and their respective distances from one another. Furthermore, we demonstrate that multiple immobile excitations exhibit Casimir-like forces between them, resulting in a non-trivial spectrum. × TY - JOURPB - SciPost FoundationDO - 10.21468/SciPostPhysCore.9.2.023TI - Immobile and mobile excitations of three-spin interactions on the diamond chainPY - 2026/04/14UR - https://scipost.org/SciPostPhysCore.9.2.023JF - SciPost Physics CoreJA - SciPost Phys. CoreVL - 9IS - 2SP - 023A1 - Bayer, MaximilianAU - Vieweg, MaximilianAU - Schmidt, Kai PhillipAB - We present a solvable one-dimensional spin-1/2 model on the diamond chain featuring three-spin interactions, which displays both, mobile excitations driving a second-order phase transition between an ordered and a $\mathbb{Z}_2$-symmetry broken phase, as well as non-trivial fully immobile excitations. The model is motivated by the physics of fracton excitations, which only possess mobility in a reduced dimension compared to the full model. We provide an exact mapping of this model to an arbitrary number of independent transverse-field Ising chain segments with open boundary conditions. The number and lengths of these segments correspond directly to the number of immobile excitations and their respective distances from one another. Furthermore, we demonstrate that multiple immobile excitations exhibit Casimir-like forces between them, resulting in a non-trivial spectrum.ER - × @Article{10.21468/SciPostPhysCore.9.2.023, title={{Immobile and mobile excitations of three-spin interactions on the diamond chain}}, author={Maximilian Bayer and Maximilian Vieweg and Kai Phillip Schmidt}, journal={SciPost Phys. Core}, volume={9}, pages={023}, year={2026}, publisher={SciPost}, doi={10.21468/SciPostPhysCore.9.2.023}, url={https://scipost.org/10.21468/SciPostPhysCore.9.2.023},} Ontology / Topics See full Ontology or Topics database. Ising quantum chain Magnetic phases Quantum criticality Quantum many-body systems Quantum phase transitions Quasiparticles Authors / Affiliation: mappings to Contributors and Organizations See all Organizations. 1 Maximilian Bayer, 1 Maximilian Vieweg, 1 Kai Phillip Schmidt 1 Friedrich-Alexander-Universität Erlangen-Nürnberg / University of Erlangen-Nuremberg [FAU]