Absence of fractal quantum criticality in the quantum Newman-Moore model

The quantum phase transition between the low-field fracton phase with type-II fracton excitations and the high-field polarized phase is investigated in the two-dimensional self-dual quantum Newman-Moore model. We apply perturbative and numerical linked-cluster expansions to calculate the ground-stat...

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Bibliographic Details
Published inarXiv.org
Main Authors Wiedmann, R, Lenke, L, Mühlhauser, M, Schmidt, K P
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 03.02.2023
Subjects
Energy gap
Level crossings
Phase transitions
Series expansion
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Summary:The quantum phase transition between the low-field fracton phase with type-II fracton excitations and the high-field polarized phase is investigated in the two-dimensional self-dual quantum Newman-Moore model. We apply perturbative and numerical linked-cluster expansions to calculate the ground-state energy per site in the thermodynamic limit revealing a level crossing at the self-dual point. In addition, high-order series expansions of the relevant low-energy gaps are determined using perturbative continuous unitary transformations indicating no gap-closing. Our results therefore predict a first-order phase transition between the low-field fracton and the high-field polarized phase at the self-dual point.
ISSN:2331-8422