Fracton as windows to topology, interaction and constraints in Emerging Phases of Matter

Informations projet

fracton

N° de convention de subvention: 101019431

DOI

10.3030/101019431

Projet clôturé le 31 Octobre 2022

Date de signature de la CE 11 Mars 2021

Date de début 1 Septembre 2021

Date de fin 31 Août 2023

Financé au titre de

• EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions

Coût total

€ 212 933,76

Contribution de l’UE

€ 212 933,76

Coordonné par

THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
United Kingdom

Periodic Reporting for period 1 - fracton (Fracton as windows to topology, interaction and constraints in Emerging Phases of Matter)

Période du rapport: 2021-09-01 au 2023-08-31

Résumé du contexte et des objectifs généraux du projet

• We conduct an extensive study of higher-order topological insulators in strongly correlated systems. In particular, we demonstrate a universal way to construct interacting HOTSCs via the coupled wire construction and identify anomalous hinge states from modular tensor categories. We also detect the HOTSCs via entanglement spectra and flux responses, and observe the supersymmetry structure in HOTSC flux states. In addition, we identify a zoology of Kitaev magnetic materials whose fractionalized excitations render emergent Majoranas with HOTSC structures.
• We explore a new type of emergent gauge theory in fracton systems and identify the tensor network realization of these states. In particular, we observe that all discrete fracton gauge theories can be obtained by anyon condensation of conventional Zn gauge theories. We simulate the entanglement entropy and mutual information of these gauge theories and link them to the holonomies of the ground state.

Travail effectué depuis le début du projet jusqu’à la fin de la période considérée dans le rapport et principaux résultats atteints jusqu’à présent

• Interaction-enabled fractonic higher-order topological phases, Julian May-Mann, Yizhi You, Taylor L. Hughes, and Zhen Bi, Phys. Rev. B 105, 245122

Progrès au-delà de l’état des connaissances et impact potentiel prévu (y compris l’impact socio-économique et les conséquences sociétales plus larges du projet jusqu’à présent)

• We identify a protocol to realize a non-CSS code with subdiffusive behavior and slow glassy dynamics that can potentially be useful for quantum information processing. In particular, we propose the realization of non-abelian statistics in these platforms via constructing lattice defect networks.
• We explore the multipolar boson-Hubbard model in 1D that engenders a new type of quantum phase transition that exhibits self-fractal structure. We elucidate the critical exponent of this theory and discover a dimensional duality between the quantum model and the classical close-packed systems.
• We study the disorder effect in various SPT phases and recognize that the quenched disorder in some SPT phases is related to the quantum decoherence of quantum states in open systems.
• We explore the dipolar quantum Hall effect in 2D correlated fermion systems and develop a mathematical no-go theorem that bounds the thermal Hall conductance in dipolar quantum Hall states.

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