Nambu-Goldstone bosons with fractional-power dispersion relations

Abstract

We pin down the origin of a peculiar dispersion relation of domain wall fluctuation, the so-called ripplon, in a superfluid-superfluid interface. A ripplon has a dispersion relation $\omega \propto k^{3/2}$ due to the nonlocality of the effective Lagrangian, which is mediated by gapless superfluid phonons in the bulk. We point out the analogy to the longitudinal phonon in the two-dimensional Wigner crystal.

arXiv comment5 pages, 1 figure. v2: references added; published version

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• Counting rule of Nambu-Goldstone modes for internal and spacetime symmetries: Bogoliubov theory approach
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• Non-relativistic Nambu-Goldstone modes associated with spontaneously broken space-time and internal symmetries
• Dispersion relations of Nambu-Goldstone modes at finite temperature and density
• Nambu-Goldstone Modes Propagating along Topological Defects: Kelvin and Ripple Modes from Small to Large Systems
• Broken spacetime symmetries and elastic variables
• Quasi-Nambu-Goldstone modes in nonrelativistic systems
• Non-relativistic Nambu-Goldstone modes propagating along a skyrmion line
• Topological interactions of Nambu-Goldstone bosons in quantum many-body systems
• Effective Field Theory for Spontaneously Broken Symmetry
• Capillary wave dynamics and interface structure modulation in binary Bose-Einstein condensate mixtures
• Interpolating relativistic and non-relativistic Nambu-Goldstone and Higgs modes
• Anomalous diffusion and Noether's second theorem
• Rainbow Nambu-Goldstone modes under a shear flow
• The Rayleigh-Taylor instability in a binary quantum fluid
• Shear viscosity over entropy density ratio with extended quasi-particles
• Fractonic Coset Construction for Spontaneously Broken Translations
• Magnetic D-brane solitons: skyrmion strings ending on a Néel wall in chiral magnets
• An introduction to Goldstone boson physics and to the coset construction
• A Large-$N$ Expansion for Minimum Bias
• Quantum geometric tensor in systems with fractional band dispersion