Quantum tricriticality of incommensurate phase induced by quantum strings in frustrated Ising magnetism
Zheng Zhou (周正), Changle Liu (刘长乐), Dong-Xu Liu (刘东旭), Zheng Yan (严正), Yan Chen (陈焱), Xue-Feng Zhang (张学锋)
SciPost Phys. 14, 037 (2023) · published 16 March 2023
- doi: 10.21468/SciPostPhys.14.3.037
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Abstract
Incommensurability plays a critical role in many strongly correlated systems. In some cases, the origin of such exotic order can be theoretically understood in the framework of 1d line-like topological excitations known as "quantum strings". Here we study an extended transverse field Ising model on a triangular lattice. Using large-scale quantum Monte Carlo simulations, we find that the spatial anisotropy can stabilize an incommensurate phase out of the commensurate clock order. Our results for the structure factor and the string density exhibit a linear relationship between incommensurate ordering wave vector and the density of quantum strings, which is reminiscent of hole density in under-doped cuprate superconductors. When introducing the next-nearest-neighbor interaction, we observe a quantum tricritical point out of the incommensurate phase. After carefully analyzing the ground state energies within different string topological sectors, we conclude that this tricriticality is non-trivially caused by effective long-range inter-string interactions with two competing terms following different decaying behaviors.
Cited by 4
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 3 Zheng Zhou,
- 4 5 6 Changle (长乐) Liu (刘),
- 6 Dong-Xu (东旭) Liu (刘),
- 1 7 8 Zheng (正) Yan (严),
- 1 9 Yan (焱) Chen (陈),
- 6 Xue-Feng Zhang
- 1 复旦大学 / Fudan University
- 2 University of Waterloo [UW]
- 3 Institut Périmètre de physique théorique / Perimeter Institute [PI]
- 4 大理大学 / Dali University
- 5 南方科技大学 / Southern University of Science and Technology [SUSTech]
- 6 重庆大学 / Chongqing University [CQU]
- 7 University of Hong Kong [HKU]
- 8 Beihang Hangzhou Innovation Institute Yuhang
- 9 人工微结构科学与技术协同创新中心 / Collaborative Innovation Center of Advanced Microstructures [CICAM]
- Fundamental Research Funds for the Central Universities
- Government of Guangdong Province
- Hui-Chun Chin and Tsung-Dao Lee Chinese Undergraduate Research Endowment
- National Key Research and Development Program of China (through Organization: Ministry of Science and Technology of the People's Republic of China [MOST])
- National Natural Science Foundation of China [NSFC]
- Natural Science Foundation of Chongqing
- Science, Technology and Innovation Commission of Shenzhen Municipality
- Shanghai Municipal People's Government
- 南方科技大学 / Southern University of Science and Technology [SUSTech]