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

• URL: http://arxiv.org/abs/2302.01773v1
• Date: Fri, 3 Feb 2023 14:31:19 GMT
• Title: Absence of fractal quantum criticality in the quantum Newman-Moore model
• Authors: R. Wiedmann, L. Lenke., M. M\"uhlhauser, K.P. Schmidt
• Abstract summary: The quantum phase transition between the low-field fracton phase with type-II fracton excitations and the high-field polarized phase is investigated. We apply perturbative and numerical linked-cluster expansions to calculate the ground-state energy per site in the thermodynamic limit. 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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