Collective modes in a quantum solid
Snir Gazit, Daniel Podolsky, Heloise Nonne, Assa Auerbach, Daniel P., Arovas

TL;DR
This paper explains optical modes in bcc helium-4 as amplitude (Higgs) modes using a Ginzburg-Landau model and quantum Monte Carlo simulations, providing a theoretical framework for experimental observations.
Contribution
It introduces a novel interpretation of INS-observed modes as Higgs-like excitations in a quantum solid, supported by theoretical modeling and simulations.
Findings
Identification of amplitude modes as Higgs excitations
Agreement of simulated structure factor with experimental data
Finite frequency excitation at zero momentum
Abstract
We provide a theoretical explanation for the optical modes observed in inelastic neutron scattering (INS) on the bcc solid phase of helium 4 [T. Markovich, E. Polturak, J. Bossy, and E. Farhi, Phys. Rev. Lett. 88, 195301 (2002)]. We argue that these excitations are amplitude (Higgs) modes associated with fluctuations of the crystal order parameter within the unit cell. We present an analysis of the modes based on an effective Ginzburg-Landau model, classify them according to their symmetry properties, and compute their signature in INS experiments. In addition, we calculate the dynamical structure factor by means of an ab intio quantum Monte Carlo simulation and find a finite frequency excitation at zero relative momentum.
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