Single-component order parameter in URu2Si2 uncovered by resonant ultrasound spectroscopy and machine learning

S. Ghosh, M. Matty, R. Baumbach, E.D. Bauer, K.A. Modic, A. Shekhter, J.A. Mydosh, E.-A. Kim, B.J. Ramshaw, ArXiv:1903.00552 (n.d.).

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Abstract
URu2Si2 exhibits a clear phase transition at THO=17.5 K to a low-temperature phase known as "hidden order" (HO). Even the most basic information needed to construct a theory of this state---such as the number of components in the order parameter---has been lacking. Here we use resonant ultrasound spectroscopy (RUS) and machine learning to determine that the order parameter of HO is one-dimensional (singlet), ruling out a large class of theories based on two-dimensional (doublet) order parameters. This strict constraint is independent of any microscopic mechanism, and independent of other symmetries that HO may break. Our technique is general for second-order phase transitions, and can discriminate between nematic (singlet) versus loop current (doublet) order in the high-\Tc cuprates, and conventional (singlet) versus the proposed px+ipy (doublet) superconductivity in Sr2RuO4. The machine learning framework we develop should be readily adaptable to other spectroscopic techniques where missing resonances confound traditional analysis, such as NMR.
Publishing Year
Date Published
2019-03-01
Journal Title
arXiv:1903.00552
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Ghosh S, Matty M, Baumbach R, et al. Single-component order parameter in URu2Si2 uncovered by resonant  ultrasound spectroscopy and machine learning. arXiv:190300552.
Ghosh, S., Matty, M., Baumbach, R., Bauer, E. D., Modic, K. A., Shekhter, A., … Ramshaw, B. J. (n.d.). Single-component order parameter in URu2Si2 uncovered by resonant  ultrasound spectroscopy and machine learning. ArXiv:1903.00552.
Ghosh, Sayak, Michael Matty, Ryan Baumbach, Eric D. Bauer, Kimberly A Modic, Arkady Shekhter, J. A. Mydosh, Eun-Ah Kim, and B. J. Ramshaw. “Single-Component Order Parameter in URu2Si2 Uncovered by Resonant  Ultrasound Spectroscopy and Machine Learning.” ArXiv:1903.00552, n.d.
S. Ghosh et al., “Single-component order parameter in URu2Si2 uncovered by resonant  ultrasound spectroscopy and machine learning,” arXiv:1903.00552. .
Ghosh S, Matty M, Baumbach R, Bauer ED, Modic KA, Shekhter A, Mydosh JA, Kim E-A, Ramshaw BJ. Single-component order parameter in URu2Si2 uncovered by resonant  ultrasound spectroscopy and machine learning. arXiv:1903.00552.
Ghosh, Sayak, et al. “Single-Component Order Parameter in URu2Si2 Uncovered by Resonant  Ultrasound Spectroscopy and Machine Learning.” ArXiv:1903.00552.

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