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arXiv · 2009.10357

Rainbow Nambu-Goldstone modes under a shear flow

Yuki Minami·Hiroyoshi Nakano·Yoshimasa Hidaka
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Abstract

We study an $O(N)$ scalar model under shear flow and its Nambu-Goldstone modes associated with spontaneous symmetry breaking $O(N) \to O(N-1)$. We find that the Nambu-Goldstone mode splits into an infinite number of gapless modes, which we call the rainbow Nambu-Goldstone modes. They have different group velocities and the fractional dispersion relation $ω\sim k_1^{2/3}$, where $k_1$ is the wavenumber along the flow. Such behaviors do not have counterparts in an equilibrium state.

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Yuki Minami, Hiroyoshi Nakano, Yoshimasa Hidaka. 2021-03-29. Rainbow Nambu-Goldstone modes under a shear flow. https://doi.org/10.1103/physrevlett.126.141601

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