Emergent $D_8^{(1)}$ spectrum and topological soliton excitation in CoNb$_2$O$_6$
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915666896879616 |
|---|---|
| author | Xi, Ning Wang, Xiao Gao, Yunjing Jiang, Yunfeng Yu, Rong Wu, Jianda |
| author_facet | Xi, Ning Wang, Xiao Gao, Yunjing Jiang, Yunfeng Yu, Rong Wu, Jianda |
| contents | Quantum integrability emerging near a quantum critical point (QCP) is manifested by exotic excitation spectrum that is organized by the associated algebraic structure. A well known example is the emergent $E_8$ integrability near the QCP of a transverse field Ising chain (TFIC), which was long predicted theoretically and initially proposed to be realized in the quasi-one-dimensional (q1D) quantum magnet CoNb$_2$O$_6$. However, later measurements on the spin excitation spectrum of this material revealed a series of satellite peaks that cannot be described by the $E_8$ Lie algebra. Motivated by these experimental progresses, we hereby revisit the spin excitations of CoNb$_2$O$_6$ by combining numerical calculation and analytical analysis. We show that, as effects of strong interchain fluctuations, the spectrum of the system near the 1D QCP is characterized by the $D_{8}^{(1)}$ Lie algebra with robust topological soliton excitation. We further show that the $D_{8}^{(1)}$ spectrum can be realized in a broad class of interacting quantum systems. Our results advance the exploration of integrability and manipulation of topological excitations in quantum critical systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_10785 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Emergent $D_8^{(1)}$ spectrum and topological soliton excitation in CoNb$_2$O$_6$ Xi, Ning Wang, Xiao Gao, Yunjing Jiang, Yunfeng Yu, Rong Wu, Jianda Strongly Correlated Electrons Materials Science Statistical Mechanics Mathematical Physics Quantum integrability emerging near a quantum critical point (QCP) is manifested by exotic excitation spectrum that is organized by the associated algebraic structure. A well known example is the emergent $E_8$ integrability near the QCP of a transverse field Ising chain (TFIC), which was long predicted theoretically and initially proposed to be realized in the quasi-one-dimensional (q1D) quantum magnet CoNb$_2$O$_6$. However, later measurements on the spin excitation spectrum of this material revealed a series of satellite peaks that cannot be described by the $E_8$ Lie algebra. Motivated by these experimental progresses, we hereby revisit the spin excitations of CoNb$_2$O$_6$ by combining numerical calculation and analytical analysis. We show that, as effects of strong interchain fluctuations, the spectrum of the system near the 1D QCP is characterized by the $D_{8}^{(1)}$ Lie algebra with robust topological soliton excitation. We further show that the $D_{8}^{(1)}$ spectrum can be realized in a broad class of interacting quantum systems. Our results advance the exploration of integrability and manipulation of topological excitations in quantum critical systems. |
| title | Emergent $D_8^{(1)}$ spectrum and topological soliton excitation in CoNb$_2$O$_6$ |
| topic | Strongly Correlated Electrons Materials Science Statistical Mechanics Mathematical Physics |
| url | https://arxiv.org/abs/2403.10785 |