Research paperTheoreticalComputational Kinetic ModelQuantum Entanglement of Anyonic Charges and Emergent Spacetime GeometryHoang-Anh Le, Hyun Cheol Lee, S.-R. Eric YangarXiv·2026·10.3390/nano9060885·arXiv:2512.15256AbstractIntrinsically topologically ordered phases can host anyons. The paper analyzes the entanglement structure of fractionalized anyons using mutual information and interprets the results within an emergent geometric framework resembling Anti-de Sitter space. As a concrete example, it considers pairs of e/2-charged semions arising from instanton configurations in a disordered zigzag graphene nanoribbon, showing long-range quantum entanglement despite spatial separation on opposite zigzag edges. The scale dependence of entanglement is examined and the ribbon is embedded into an AdS-like bulk geometry where entanglement defines minimal surfaces, yielding a holographic picture of fractionalized degrees of freedom in quasi-one-dimensional systems.Read more
A disordered zigzag graphene nanoribbon hosting fractionalized edge charges / semions on opposite zigzag edges, treated within a Hartree-Fock mean-field Hubbard model.No measurements recordedSimulatedCStudied MaterialExpand
Research paperTheoreticalComputational Kinetic ModelQuantum Entanglement of Anyonic Charges and Emergent Spacetime GeometryHoang-Anh Le, Hyun Cheol Lee, S.-R. Eric YangarXiv·2026·10.3390/nano9060885·arXiv:2512.15256AbstractIntrinsically topologically ordered phases can host anyons. The paper analyzes the entanglement structure of fractionalized anyons using mutual information and interprets the results within an emergent geometric framework resembling Anti-de Sitter space. As a concrete example, it considers pairs of e/2-charged semions arising from instanton configurations in a disordered zigzag graphene nanoribbon, showing long-range quantum entanglement despite spatial separation on opposite zigzag edges. The scale dependence of entanglement is examined and the ribbon is embedded into an AdS-like bulk geometry where entanglement defines minimal surfaces, yielding a holographic picture of fractionalized degrees of freedom in quasi-one-dimensional systems.Read more
A disordered zigzag graphene nanoribbon hosting fractionalized edge charges / semions on opposite zigzag edges, treated within a Hartree-Fock mean-field Hubbard model.No measurements recordedSimulatedCStudied MaterialExpand
Research paperTheoreticalComputational Kinetic ModelQuantum Entanglement of Anyonic Charges and Emergent Spacetime GeometryHoang-Anh Le, Hyun Cheol Lee, S.-R. Eric YangarXiv·2026·10.3390/nano9060885·arXiv:2512.15256AbstractIntrinsically topologically ordered phases can host anyons. The paper analyzes the entanglement structure of fractionalized anyons using mutual information and interprets the results within an emergent geometric framework resembling Anti-de Sitter space. As a concrete example, it considers pairs of e/2-charged semions arising from instanton configurations in a disordered zigzag graphene nanoribbon, showing long-range quantum entanglement despite spatial separation on opposite zigzag edges. The scale dependence of entanglement is examined and the ribbon is embedded into an AdS-like bulk geometry where entanglement defines minimal surfaces, yielding a holographic picture of fractionalized degrees of freedom in quasi-one-dimensional systems.Read more
A disordered zigzag graphene nanoribbon hosting fractionalized edge charges / semions on opposite zigzag edges, treated within a Hartree-Fock mean-field Hubbard model.No measurements recordedSimulatedCStudied MaterialExpand
Research paperTheoreticalComputational Kinetic ModelQuantum Entanglement of Anyonic Charges and Emergent Spacetime GeometryHoang-Anh Le, Hyun Cheol Lee, S.-R. Eric YangarXiv·2026·10.3390/nano9060885·arXiv:2512.15256AbstractIntrinsically topologically ordered phases can host anyons. The paper analyzes the entanglement structure of fractionalized anyons using mutual information and interprets the results within an emergent geometric framework resembling Anti-de Sitter space. As a concrete example, it considers pairs of e/2-charged semions arising from instanton configurations in a disordered zigzag graphene nanoribbon, showing long-range quantum entanglement despite spatial separation on opposite zigzag edges. The scale dependence of entanglement is examined and the ribbon is embedded into an AdS-like bulk geometry where entanglement defines minimal surfaces, yielding a holographic picture of fractionalized degrees of freedom in quasi-one-dimensional systems.Read more
A disordered zigzag graphene nanoribbon hosting fractionalized edge charges / semions on opposite zigzag edges, treated within a Hartree-Fock mean-field Hubbard model.No measurements recordedSimulatedCStudied MaterialExpand
