@article{62fa84a3d03b4d309970c5f91f770e3c,
title = "Fractonic critical point proximate to a higher-order topological insulator: A Coupled wire approach",
abstract = "We propose an unconventional topological quantum phase transition between a higher-order topological insulator (HOTI) and a featureless Mott insulator, both sharing the same symmetry patterns. Our approach constructs an effective theory for the quantum critical point (QCP) by combining a bosonization technique with the coupled-stripe construction of 1D critical spin ladders. This phase transition is characterized by a critical dipole liquid theory with subsystem U(1) symmetry, where the low-energy modes contain a Bose surface along the k_x,k_y axis. This quantum critical point exhibits fracton dynamics and a breakdown of the area law for entanglement entropy, attributed to the presence of the Bose surface. We numerically validate our findings by measuring the entanglement entropy, topological rank-2 Berry phase, and static structure factor throughout the topological transition, comparing these results with our previous approach derived from the percolation picture. A significant new aspect of our phase transition theory is that the infrared (IR) effective theory is governed by short-wavelength fluctuations, demonstrating a unique UV-IR mixing.",
keywords = "Fracton, Higher order topological insulator",
author = "Yizhi You and Julian Bibo and Hughes, {Taylor L.} and Frank Pollmann",
note = "This work is initiated at KITP and YY, TLH, FP are supported in part by the National Science Foundation under Grant No. NSF PHY- 1748958 (KITP) during the Topological Quantum Matter program. TLH thanks the US National Science Foundation (NSF) MRSEC program under NSF Award Number DMR-1720633 (SuperSEED) and the award DMR 1351895-CAR for support.FP acknowledges the support of the DFG Research Unit FOR 1807 through grants no. PO 1370/2-1 , TRR80, and the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany\u2019s Excellence Strategy EXC-2111-390814868 . This work is initiated at KITP and YY, TLH, FP are supported in part by the National Science Foundation, United States of America under Grant No. NSF PHY- 1748958(KITP) during the Topological Quantum Matter program. TLH thanks the US National Science Foundation (NSF) MRSEC program under NSF Award Number DMR-1720633 (SuperSEED) and the award DMR 1351895-CAR for support.FP acknowledges the support of the DFG Research Unit FOR 1807, Germany through grants no. PO 1370/2-1, TRR80, and the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy EXC-2111-390814868.",
year = "2025",
month = mar,
doi = "10.1016/j.aop.2025.169927",
language = "English (US)",
volume = "474",
journal = "Annals of Physics",
issn = "0003-4916",
publisher = "Academic Press Inc.",
}