通过模糊球正则化研究退约束量子临界处的线缺陷
Studying line defect at Deconfined Quantum Criticality via fuzzy sphere regularization
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中文总结 AI 辅助
本研究通过模糊球正则化，数值研究与(2+1)维退约束量子临界体耦合的(0+1)维钉扎场缺陷，提取其共形不动点的普适量，首次数值表征退约束量子临界处线缺陷的共形数据。
中文摘要 AI 辅助
体临界涨落与非平凡拓扑的相互作用可丰富缺陷物理并产生新的缺陷普适类，因此理解这类缺陷的演化是重要的开放问题。本研究探讨了一个特别简单的情形：与(2+1)维退约束量子临界体耦合的(0+1)维钉扎场缺陷。采用模糊球（fuzzy-sphere）正则化，我们数值研究了缺陷算子谱，并提取了表征缺陷共形不动点的若干普适量，包括缺陷变换（产生）算子的标度维数和缺陷g函数。这些结果首次数值表征了退约束量子临界处线缺陷的共形数据，或可推动对拓扑量子临界物质中缺陷临界现象的进一步研究。
英文摘要
The interplay between bulk critical fluctuations and nontrivial topology can enrich defect physics and give rise to novel defect universality classes. Understanding the fate of such defects therefore constitutes an important open problem. In this work, we studied a particularly simple setting: a (0+1)-dimensional pinning-field defect coupled to a (2+1)-dimensional deconfined quantum critical bulk. Using the fuzzy-sphere regularization, we numerically investigated the defect operator spectrum and extracted several universal quantities characterizing the defect conformal fixed point, including the scaling dimensions of defect-changing(creating) operators and the defect \(g\)-function. These results establish the first numerical characterization of line-defect conformal data at deconfined quantum criticality and may stimulate further investigations of defect critical phenomena in topological quantum critical matter.
发表机构
- Fudan University（复旦大学）
- Hong Kong University of Science and Technology（香港科技大学）
- Hefei National Laboratory（合肥国家实验室）
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