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

Información del proyecto

fracton

Identificador del acuerdo de subvención: 101019431

DOI

10.3030/101019431

Proyecto finalizado el 31 Octubre 2022

Fecha de la firma de la CE 11 Marzo 2021

Fecha de inicio 1 Septiembre 2021

Fecha de finalización 31 Agosto 2023

Financiado con arreglo a

• EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions

Coste total

€ 212 933,76

Aportación de la UE

€ 212 933,76

Coordinado por

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)

Período documentado: 2021-09-01 hasta 2023-08-31

Resumen del contexto y de los objetivos generales del proyecto

• 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.

Trabajo realizado desde el comienzo del proyecto hasta el final del período abarcado por el informe y los principales resultados hasta la fecha

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

Avances que van más allá del estado de la técnica e impacto potencial esperado (incluida la repercusión socioeconómica y las implicaciones sociales más amplias del proyecto hasta la fecha)

• 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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