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

Informacje na temat projektu

fracton

Identyfikator umowy o grant: 101019431

DOI

10.3030/101019431

Realizacja projektu zakończyła się 31 Października 2022

Data podpisania przez KE 11 Marca 2021

Data rozpoczęcia 1 Września 2021

Data zakończenia 31 Sierpnia 2023

Finansowanie w ramach

• EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions

Koszt całkowity

€ 212 933,76

Wkład UE

€ 212 933,76

Koordynowany przez

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)

Okres sprawozdawczy: 2021-09-01 do 2023-08-31

Podsumowanie kontekstu i ogólnych celów projektu

• 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.

Prace wykonane od początku projektu do końca okresu sprawozdawczego oraz najważniejsze dotychczasowe rezultaty

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

Innowacyjność oraz oczekiwany potencjalny wpływ (w tym dotychczasowe znaczenie społeczno-gospodarcze i szersze implikacje społeczne projektu)

• 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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