$E_8$ Spectra of Quasi-one-dimensional Antiferromagnet BaCo$_2$V$_2$O$_8$ under Transverse Field

Autor: Zou, Haiyuan, Cui, Y., Wang, X., Zhang, Z., Yang, J., Xu, G., Okutani, A., Hagiwara, M., Matsuda, M., Wang, G., Mussardo, G., Hódsági, K., Kormos, M., He, Z. Z., Kimura, S., Yu, Rong, Yu, Weiqiang, Ma, Jie, Wu, Jianda
Rok vydání: 2020
Předmět:
Zdroj: Phys. Rev. Lett. 127, 077201 (2021)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevLett.127.077201
Popis: We report $^{51}$V nuclear magnetic resonance (NMR) and inelastic neutron scattering (INS) measurements on a quasi-1D antiferromagnet BaCo$_2$V$_2$O$_8$ under transverse field along the [010] direction. The scaling behavior of the spin-lattice relaxation rate above the N\'{e}el temperatures unveils a 1D quantum critical point (QCP) at $H_c^{1D}\approx 4.7$ T, which is masked by the 3D magnetic order. With the aid of accurate analytical analysis and numerical calculations, we show that the zone center INS spectrum at $H_c^{1D}$ is precisely described by the pattern of the 1D quantum Ising model in a magnetic field, a class of universality described in terms of the exceptional $E_8$ Lie algebra. These excitations keep to be non-diffusive over a certain field range when the system is away from the 1D QCP. Our results provide an unambiguous experimental realization of the massive $E_8$ phase in the compound, and open new experimental route for exploring the dynamics of quantum integrable systems as well as physics beyond integrability.
Comment: 6 pages, 4 figures. Supplemental Material is in other format
Databáze: arXiv