E8 Spectra of Quasi-One-Dimensional Antiferromagnet BaCo2 V2 O8 under Transverse Field

Haiyuan Zou; Yi Cui; Xiao Wang; Z. Zhang; J. Yang; G. Xu; A. Okutani; M. Hagiwara; M. Matsuda; G. Wang; Giuseppe Mussardo; K. Hódsági; M. Kormos; Zhangzhen He; S. Kimura; Rong Yu; Weiqiang Yu; Jie Ma; Jianda Wu

doi:10.1103/PhysRevLett.127.077201

E8 Spectra of Quasi-One-Dimensional Antiferromagnet BaCo2 V2 O8 under Transverse Field

Haiyuan Zou, Yi Cui, Xiao Wang, Z. Zhang, J. Yang, G. Xu, A. Okutani, M. Hagiwara, M. Matsuda, G. Wang, Giuseppe Mussardo, K. Hódsági, M. Kormos, Zhangzhen He, S. Kimura, Rong Yu, Weiqiang Yu, Jie Ma, Jianda Wu

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Abstract

We report V51 NMR and inelastic neutron scattering (INS) measurements on a quasi-1D antiferromagnet BaCo2V2O8 under transverse field along the [010] direction. The scaling behavior of the spin-lattice relaxation rate above the Néel temperatures unveils a 1D quantum critical point (QCP) at Hc1D≈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 Hc1D 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 E8 Lie algebra. These excitations are nondiffusive over a certain field range when the system is away from the 1D QCP. Our results provide an unambiguous experimental realization of the massive E8 phase in the compound, and open a new experimental route for exploring the dynamics of quantum integrable systems as well as physics beyond integrability.

Original language	English
Article number	077201
Journal	Physical Review Letters
Volume	127
Issue number	7
DOIs	https://doi.org/10.1103/PhysRevLett.127.077201
State	Published - Aug 13 2021

Funding

We thank Gábor Takács for useful discussions about the form factor calculations. J. W. appreciates helpful discussion with Zhe Wang. J. M., W. Q. Y., and R. Y. are supported by the Ministry of Science and Technology of China with Grant No. 2016YFA0300500. H. Z. is supported by the National Natural Science Foundation of China with Grant No. 11804221. W. Q. Y and R. Y. are supported by the National Natural Science Foundation of China with Grants No. 51872328, No. 11674392, the Fundamental Research Funds for the Central Universities, and the Research Funds of Renmin University of China with Grants No. 18XNLG24 and No. 20XNLG19. J. W. is sponsored by the Natural Science Foundation of Shanghai with Grant No. 20ZR1428400 and Shanghai Pujiang Program with Grant No. 20PJ1408100. J. M. is supported by the National Natural Science Foundation of China with Grant No. 11774223. J. W. and J. M. acknowledge additional support from a Shanghai talent program. Y. C. is supported by the China Postdoctoral Science Foundation with Grant No. 2020M680797, the Fundamental Research Funds for the Central Universities, and the Research Funds of Renmin University of China with Grant No. 21XNLG18. G. W. is supported by the National Natural Science Foundation of China with Grant No. 51832010 and the Ministry of Science and Technology of China with Grant No. 2018YFE0202600. K. H. and M. K. were partially supported by the National Research Development and Innovation Office of Hungary under the research Grants OTKA K-16 No. 119204 and by the Fund TKP2020 IES (Grant No. BME-IE-NAT). M. K. acknowledges support by a Bolyai János grant of the HAS, and by the ÚNKP-20-5 New National Excellence Program of the Ministry for Innovation and Technology from the source of the National Research Development and Innovation Fund.

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10.1103/PhysRevLett.127.077201

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Zou, H., 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., Kimura, S., Yu, R., Yu, W., Ma, J., & Wu, J. (2021). E8 Spectra of Quasi-One-Dimensional Antiferromagnet BaCo2 V2 O8 under Transverse Field. Physical Review Letters, 127(7), Article 077201. https://doi.org/10.1103/PhysRevLett.127.077201

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title = "E8 Spectra of Quasi-One-Dimensional Antiferromagnet BaCo2 V2 O8 under Transverse Field",

abstract = "We report V51 NMR and inelastic neutron scattering (INS) measurements on a quasi-1D antiferromagnet BaCo2V2O8 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 Hc1D≈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 Hc1D 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 E8 Lie algebra. These excitations are nondiffusive over a certain field range when the system is away from the 1D QCP. Our results provide an unambiguous experimental realization of the massive E8 phase in the compound, and open a new experimental route for exploring the dynamics of quantum integrable systems as well as physics beyond integrability.",

author = "Haiyuan Zou and Yi Cui and Xiao Wang and Z. Zhang and J. Yang and G. Xu and A. Okutani and M. Hagiwara and M. Matsuda and G. Wang and Giuseppe Mussardo and K. H{\'o}ds{\'a}gi and M. Kormos and Zhangzhen He and S. Kimura and Rong Yu and Weiqiang Yu and Jie Ma and Jianda Wu",

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year = "2021",

month = aug,

day = "13",

doi = "10.1103/PhysRevLett.127.077201",

language = "English",

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Zou, H, 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, Kimura, S, Yu, R, Yu, W, Ma, J & Wu, J 2021, 'E8 Spectra of Quasi-One-Dimensional Antiferromagnet BaCo2 V2 O8 under Transverse Field', Physical Review Letters, vol. 127, no. 7, 077201. https://doi.org/10.1103/PhysRevLett.127.077201

TY - JOUR

T1 - E8 Spectra of Quasi-One-Dimensional Antiferromagnet BaCo2 V2 O8 under Transverse Field

AU - Zou, Haiyuan

AU - Cui, Yi

AU - Wang, Xiao

AU - Zhang, Z.

AU - Yang, J.

AU - Xu, G.

AU - Okutani, A.

AU - Hagiwara, M.

AU - Matsuda, M.

AU - Wang, G.

AU - Mussardo, Giuseppe

AU - Hódsági, K.

AU - Kormos, M.

AU - He, Zhangzhen

AU - Kimura, S.

AU - Yu, Rong

AU - Yu, Weiqiang

AU - Ma, Jie

AU - Wu, Jianda

PY - 2021/8/13

Y1 - 2021/8/13

N2 - We report V51 NMR and inelastic neutron scattering (INS) measurements on a quasi-1D antiferromagnet BaCo2V2O8 under transverse field along the [010] direction. The scaling behavior of the spin-lattice relaxation rate above the Néel temperatures unveils a 1D quantum critical point (QCP) at Hc1D≈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 Hc1D 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 E8 Lie algebra. These excitations are nondiffusive over a certain field range when the system is away from the 1D QCP. Our results provide an unambiguous experimental realization of the massive E8 phase in the compound, and open a new experimental route for exploring the dynamics of quantum integrable systems as well as physics beyond integrability.

AB - We report V51 NMR and inelastic neutron scattering (INS) measurements on a quasi-1D antiferromagnet BaCo2V2O8 under transverse field along the [010] direction. The scaling behavior of the spin-lattice relaxation rate above the Néel temperatures unveils a 1D quantum critical point (QCP) at Hc1D≈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 Hc1D 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 E8 Lie algebra. These excitations are nondiffusive over a certain field range when the system is away from the 1D QCP. Our results provide an unambiguous experimental realization of the massive E8 phase in the compound, and open a new experimental route for exploring the dynamics of quantum integrable systems as well as physics beyond integrability.

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SN - 0031-9007

VL - 127

JO - Physical Review Letters

JF - Physical Review Letters

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ER -

E8 Spectra of Quasi-One-Dimensional Antiferromagnet BaCo2 V2 O8 under Transverse Field

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