Higgs amplitude mode in a two-dimensional quantum antiferromagnet near the quantum critical point

Tao Hong; Masashige Matsumoto; Yiming Qiu; Wangchun Chen; Thomas R. Gentile; Shannon Watson; Firas F. Awwadi; Mark M. Turnbull; Sachith E. DIssanayake; Harish Agrawal; Rasmus Toft-Petersen; Bastian Klemke; Kris Coester; Kai P. Schmidt; David A. Tennant

doi:10.1038/nphys4182

Higgs amplitude mode in a two-dimensional quantum antiferromagnet near the quantum critical point

Tao Hong, Masashige Matsumoto, Yiming Qiu, Wangchun Chen, Thomas R. Gentile, Shannon Watson, Firas F. Awwadi, Mark M. Turnbull, Sachith E. DIssanayake, Harish Agrawal, Rasmus Toft-Petersen, Bastian Klemke, Kris Coester, Kai P. Schmidt, David A. Tennant

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Abstract

Spontaneous symmetry-breaking quantum phase transitions play an essential role in condensed-matter physics. The collective excitations in the broken-symmetry phase near the quantum critical point can be characterized by fluctuations of phase and amplitude of the order parameter. The phase oscillations correspond to the massless Nambu-Goldstone modes whereas the massive amplitude mode, analogous to the Higgs boson in particle physics, is prone to decay into a pair of low-energy Nambu-Goldstone modes in low dimensions. Especially, observation of a Higgs amplitude mode in two dimensions is an outstanding experimental challenge. Here, using inelastic neutron scattering and applying the bond-operator theory, we directly and unambiguously identify the Higgs amplitude mode in a two-dimensional S=1/2 quantum antiferromagnet C 9 H 18 N 2 CuBr 4 near a quantum critical point in two dimensions. Owing to an anisotropic energy gap, it kinematically prevents such decay and the Higgs amplitude mode acquires an infinite lifetime.

Original language	English
Pages (from-to)	638-642
Number of pages	5
Journal	Nature Physics
Volume	13
Issue number	7
DOIs	https://doi.org/10.1038/nphys4182
State	Published - Jul 1 2017

Funding

Funders	Funder number
National Science Foundation	1508249

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Hong, T., Matsumoto, M., Qiu, Y., Chen, W., Gentile, T. R., Watson, S., Awwadi, F. F., Turnbull, M. M., DIssanayake, S. E., Agrawal, H., Toft-Petersen, R., Klemke, B., Coester, K., Schmidt, K. P., & Tennant, D. A. (2017). Higgs amplitude mode in a two-dimensional quantum antiferromagnet near the quantum critical point. Nature Physics, 13(7), 638-642. https://doi.org/10.1038/nphys4182

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title = "Higgs amplitude mode in a two-dimensional quantum antiferromagnet near the quantum critical point",

abstract = "Spontaneous symmetry-breaking quantum phase transitions play an essential role in condensed-matter physics. The collective excitations in the broken-symmetry phase near the quantum critical point can be characterized by fluctuations of phase and amplitude of the order parameter. The phase oscillations correspond to the massless Nambu-Goldstone modes whereas the massive amplitude mode, analogous to the Higgs boson in particle physics, is prone to decay into a pair of low-energy Nambu-Goldstone modes in low dimensions. Especially, observation of a Higgs amplitude mode in two dimensions is an outstanding experimental challenge. Here, using inelastic neutron scattering and applying the bond-operator theory, we directly and unambiguously identify the Higgs amplitude mode in a two-dimensional S=1/2 quantum antiferromagnet C 9 H 18 N 2 CuBr 4 near a quantum critical point in two dimensions. Owing to an anisotropic energy gap, it kinematically prevents such decay and the Higgs amplitude mode acquires an infinite lifetime.",

author = "Tao Hong and Masashige Matsumoto and Yiming Qiu and Wangchun Chen and Gentile, {Thomas R.} and Shannon Watson and Awwadi, {Firas F.} and Turnbull, {Mark M.} and DIssanayake, {Sachith E.} and Harish Agrawal and Rasmus Toft-Petersen and Bastian Klemke and Kris Coester and Schmidt, {Kai P.} and Tennant, {David A.}",

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Hong, T, Matsumoto, M, Qiu, Y, Chen, W, Gentile, TR, Watson, S, Awwadi, FF, Turnbull, MM, DIssanayake, SE, Agrawal, H, Toft-Petersen, R, Klemke, B, Coester, K, Schmidt, KP & Tennant, DA 2017, 'Higgs amplitude mode in a two-dimensional quantum antiferromagnet near the quantum critical point', Nature Physics, vol. 13, no. 7, pp. 638-642. https://doi.org/10.1038/nphys4182

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AU - Hong, Tao

AU - Matsumoto, Masashige

AU - Qiu, Yiming

AU - Chen, Wangchun

AU - Gentile, Thomas R.

AU - Watson, Shannon

AU - Awwadi, Firas F.

AU - Turnbull, Mark M.

AU - DIssanayake, Sachith E.

AU - Agrawal, Harish

AU - Toft-Petersen, Rasmus

AU - Klemke, Bastian

AU - Coester, Kris

AU - Schmidt, Kai P.

AU - Tennant, David A.

PY - 2017/7/1

Y1 - 2017/7/1

N2 - Spontaneous symmetry-breaking quantum phase transitions play an essential role in condensed-matter physics. The collective excitations in the broken-symmetry phase near the quantum critical point can be characterized by fluctuations of phase and amplitude of the order parameter. The phase oscillations correspond to the massless Nambu-Goldstone modes whereas the massive amplitude mode, analogous to the Higgs boson in particle physics, is prone to decay into a pair of low-energy Nambu-Goldstone modes in low dimensions. Especially, observation of a Higgs amplitude mode in two dimensions is an outstanding experimental challenge. Here, using inelastic neutron scattering and applying the bond-operator theory, we directly and unambiguously identify the Higgs amplitude mode in a two-dimensional S=1/2 quantum antiferromagnet C 9 H 18 N 2 CuBr 4 near a quantum critical point in two dimensions. Owing to an anisotropic energy gap, it kinematically prevents such decay and the Higgs amplitude mode acquires an infinite lifetime.

AB - Spontaneous symmetry-breaking quantum phase transitions play an essential role in condensed-matter physics. The collective excitations in the broken-symmetry phase near the quantum critical point can be characterized by fluctuations of phase and amplitude of the order parameter. The phase oscillations correspond to the massless Nambu-Goldstone modes whereas the massive amplitude mode, analogous to the Higgs boson in particle physics, is prone to decay into a pair of low-energy Nambu-Goldstone modes in low dimensions. Especially, observation of a Higgs amplitude mode in two dimensions is an outstanding experimental challenge. Here, using inelastic neutron scattering and applying the bond-operator theory, we directly and unambiguously identify the Higgs amplitude mode in a two-dimensional S=1/2 quantum antiferromagnet C 9 H 18 N 2 CuBr 4 near a quantum critical point in two dimensions. Owing to an anisotropic energy gap, it kinematically prevents such decay and the Higgs amplitude mode acquires an infinite lifetime.

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Higgs amplitude mode in a two-dimensional quantum antiferromagnet near the quantum critical point

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