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$\mathbb{Z}_4$ transitions in quantum loop models on a zig-zag ladder
by Bowy Miquelli La Rivière, Natalia Chepiga
Submission summary
Authors (as registered SciPost users): | Natalia Chepiga · Bowy La Riviere |
Submission information | |
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Preprint Link: | https://arxiv.org/abs/2406.20093v1 (pdf) |
Date submitted: | 2024-07-04 16:29 |
Submitted by: | La Riviere, Bowy |
Submitted to: | SciPost Physics |
Ontological classification | |
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Academic field: | Physics |
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Approach: | Computational |
Abstract
We study the nature of quantum phase transitions out of $\mathbb{Z}_4$ ordered phases in quantum loop models on a zig-zag ladder. We report very rich critical behaviour that includes a pair of Ising transitions, a multi-critical Ashkin-Teller point and a remarkably extended interval of a chiral transition. Although plaquette states turn out to be essential to realize chiral transitions, we demonstrate that critical regimes can be manipulated by deforming the model as to increase the presence of leg-dimerized states. This can be done to the point where the chiral transition turns into first order, we argue that this is associated with the emergence of a critical end point.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
Current status:
In refereeing