Schmid-Higgs mode in the presence of pair-breaking interactions

Author: Dzero, Maxim

Affiliation: Kent State University

Type: Contributed Talk

Session: Disordered and granular superconductors

Date and Time: 21.07.2026, 18:10 - 18:30

Collective modes in superconductors provided the first realization of the Higgs mechanism. The transverse

Goldstone mode acquires a gap when it hybridizes with the electromagnetic gauge field. The

longitudinal Schmid-Higgs mode, on the other hand, is always massive. In conventional BCS theory, its gap

is exactly 2∆, coinciding with the excitation threshold for quasiparticles. Being situated right at the edge of

the continuum spectrum it gives rise to peculiar dynamics for the Schmid-Higgs mode. For instance, when

suddenly excited at t = 0, it exhibits algebraically decaying oscillations of the form∼sin(2∆t)/t^(1/2). In my

talk, I will explain the behavior of Schmid-Higgs oscillations in the presence of pair-breaking mechanisms,

such as magnetic impurities or in-plane magnetic fields. These processes suppress the quasiparticle excitation

threshold down to 2ε_g <2∆, potentially placing the longitudinal mode within the continuum spectrum. Despite

this, I will prove that the algebraically decaying oscillations persist, taking the form∼sin(2ε_gt)/t^2.