Higgs amplitude mode in massless Dirac fermion systems
Ming Lu, Haiwen Liu, Pei Wang, X. C. Xie

TL;DR
This paper studies the dynamics of the Higgs amplitude mode in massless Dirac fermion systems, revealing unique decay behaviors and oscillations that differ from conventional superconductors, providing insights for experimental characterization.
Contribution
It demonstrates the distinct decay and oscillation patterns of the Higgs mode in Dirac systems, extending understanding beyond normal fermion superconductors.
Findings
Logarithmic decay of Higgs mode in 2D Dirac systems
Undamped oscillations in 3D Dirac semimetals
Provides experimental signatures for superconductivity in Dirac materials
Abstract
The Higgs amplitude mode in superconductors is the condensed matter analogy of Higgs bosons in particle physics. We investigate the time evolution of Higgs amplitude mode in massless Dirac systems, induced by a weak quench of an attractive interaction. We find that the Higgs amplitude mode in the half-filling honeycomb lattice has a logarithmic decaying behaviour, qualitatively different from the decay in the normal superconductors. Our study is also extended to the doped cases in honeycomb lattice. As for the 3D Dirac semimetal at half filling, we obtain an undamped oscillation of the amplitude mode. Our finding is not only an important supplement to the previous theoretical studies on normal fermion systems, but also provide an experimental signature to characterize the superconductivity in 2D or 3D Dirac systems.
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