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25 April 2024 |
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Fractonic critical point proximate to a higher-order topological insulator: How UV blend with IR? | | Yizhi You
; Julian Bibo
; Taylor L. Hughes
; Frank Pollmann
; | | Date: |
5 Jan 2021 | | Abstract: | We propose an unconventional topological quantum phase transition connecting
a higher-order topological insulator (HOTI) and a featureless Mott insulator
sharing the same symmetry patterns. We delineate the effective theory
description of the quantum critical point (QCP) by combining the bosonization
approach and the coupled-stripe construction of 1D critical spin ladders. The
phase transition theory is characterized by a critical dipole liquid theory
with subsystem $U(1)$ symmetry whose low energy modes contain a Bose surface
along the $k_x,k_y$ axis. Such a quantum critical point manifests fracton
dynamics and the breakdown of the area law entanglement entropy due to the
existence of a Bose surface. We numerically confirm this finding by measuring
the entanglement entropy, topological Berry phase, and the static structure
factor throughout the topological transition and compare it with our previous
approach obtained from the percolation picture. A significant new element of
our phase transition theory is that the infrared (IR) effective theory is
controlled by short wave-length fluctuation with peculiar UV-IR mixing. | | Source: | arXiv, 2101.01724 | | Services: | Forum | Review | PDF | Favorites | |
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