English

Fate of the Higgs mode near quantum criticality

Quantum Gases 2013-12-12 v2 Strongly Correlated Electrons Superconductivity

Abstract

We study the relativistic O(N) field theory near the quantum critical point in 2+1 dimensions for N=2 and N=3. The scalar susceptibility is evaluated by Monte Carlo simulation. We show that the spectrum contains a peak associated with the Higgs mode, which remains well-defined all the way to the critical point. The fidelity of this peak and the amplitude ratio between the critical energy scales on both sides of the transition are computed.

Keywords

Cite

@article{arxiv.1212.3759,
  title  = {Fate of the Higgs mode near quantum criticality},
  author = {Snir Gazit and Daniel Podolsky and Assa Auerbach},
  journal= {arXiv preprint arXiv:1212.3759},
  year   = {2013}
}

Comments

6 pages, 5 figures, published version, relaxed estimation of the Higgs mass, added a supplementary information section on the analytic continuation method