Amplitude/Higgs Modes in Condensed Matter Physics

By D. Pekker, C. Varma. 2014

390 citations recorded by the source corpus.

The order parameter and its variations in space and time in many different states in condensed matter physics at low temperatures are described by the complex function Ψ(r, t). These states include superfluids, superconductors, and a subclass of antiferromagnets and charge density waves. The collective fluctuations in the ordered state may then be categorized as oscillations of phase and amplitude of Ψ(r, t). The phase oscillations are the Goldstone modes of the broken continuous symmetry. The amplitude modes, even at long wavelengths, are well defined and are decoupled from the phase oscillations only near particle-hole symmetry, where the equations of motion have an effective Lorentz symmetry, as in particle physics and if there are no significant avenues for decay into other excitations. They bear close correspondence with the so-called Higgs modes in particle physics, whose prediction and discovery are very important for the standard model of particle physics. In this review, we discuss the theory and...

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/ce6c5edc36dbe7dd892d3fffff815b79691d7142

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In Atomic and Molecular Physics, and Optics

  1. L. Rademaker
  2. J. Moore
  3. Jasper van Wezel
  4. A. Beekman
  5. Bernhard Keimer
  6. Shoucheng Zhang
  7. Ashvin Vishwanath
  8. E. Witten

In Condensed Matter Physics

  1. J. Moore
  2. A. Beekman
  3. Bernhard Keimer

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