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Nonsymmorphic spin-space cubic groups and SU(2)$_1$ conformal invariance in one-dimensional spin-1/2 models
by Wang Yang, Alberto Nocera, Chao Xu, Ian Affleck
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Submission summary
| Authors (as registered SciPost users): | Wang Yang |
| Submission information | |
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| Preprint Link: | scipost_202208_00072v2 (pdf) |
| Date accepted: | 2024-08-15 |
| Date submitted: | 2024-08-03 06:59 |
| Submitted by: | Yang, Wang |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
Recently, extended gapless phases with emergent SU(2)$_1$ conformal invariance occupying finite regions in the phase diagrams have been found in one-dimensional spin-1/2 models with nonsymmorphic $O_h$ symmetry groups. In this work, we investigate the question of whether the conditions for emergent SU(2)$_1$ invariance can be loosened. We find that besides the nonsymmorphic $O_h$ group, the other four smaller nonsymmorphic cubic groups including $O$, $T_h$, $T_d$ and $T$ can also give rise to emergent SU(2)$_1$ invariance. Minimal spin-1/2 models having these nonsymmorphic cubic groups as symmetry groups are constructed, and numerical evidences for the emergent SU(2)$_1$ invariance are provided. Our work is useful for understanding gapless phases in one-dimensional spin systems with nonsymmorphic symmetries.
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
List of changes
1. The typos pointed out by the first referee have been corrected.
2. Sec. 3.5 is added in the revised manuscript to address the following point raised by the first referee: “Below Eq. 23 (or elsewhere) please address the question: is there any numerical evidence for different velocities for the left and right moving sectors?”.
Published as SciPost Phys. 17, 097 (2024)