Abstract:
Spontaneous symmetry breaking in the Mexican-Hat potential leads to massless phase modes as low-energy excitations. In superconductors, however, coupling between the charged condensate and the gauge field shifts the phase mode to higher energies,[1] leaving the Higgs mode as the dominant low-energy excitation. The Meissner effect reflects a macroscopic quantum condensate where photons gain mass - an analogy to high-energy physics.[2] The Higgs mode was first observed in superconductors by Sooryakumar and Klein via Raman scattering in 1980, and confirmed in 2014.[3,4] Due to weak light coupling, it remained elusive except in NbSe2, where it couples to a charge density wave (CDW). Over the past two decades, experimental evidence has steadily grown. Notably, Budelmann et al. (2005) and Saichu et al. (2009) observed distinct in-gap features suggestive of collective excitations,[5,6] with later THz studies reinforcing the case for the Higgs mode.[7]
After introducing activities in our Raman lab at CFEL, this talk presents Higgs-mode observations in Bi-2212 using Non-Equilibrium Anti-Stokes Raman Scattering (NEARS).[8] We use a Tsunami Ti:Sapphire laser (1.2 ps, 80 MHz, 802 nm) and a 402 nm probe from SHG for the UT-3 spectrometer.[9] NEARS exploits a soft quench of the Mexican-Hat potential to selectively populate Higgs modes of different symmetries,[10] then probes them via anti-Stokes Raman scattering. This leads to a tunable population inversion, characterized by comparing Stokes and anti-Stokes signals. An emergent in-gap anti-Stokes peak (25 meV) grows with fluence, indicating Higgs mode population, while the Stokes side shows suppressed pair-breaking at approx. 60 meV, confirming the superconducting state 3 ps post-pump.
Our results, interpreted via Ginzburg-Landau theory and a BCS weak-coupling model, link Higgs mode energy to Cooper-pair coherence length. Phonon-subtracted susceptibilities match well with microscopic theory, notably avoiding the A1g problem at 3.1 eV photon energy.[11] NEARS thus emerges as a powerful tool for Higgs spectroscopy in quantum condensates, with broad implications for superconductivity research, including light-induced, interface, and topological effects.
References:
[1] Anderson, P., Phys. Rev. 110, 827 – 835 (1958).
[2] Varma, C. M., Journal of Low Temperature Physics 126, 901 – 909 280 (2002).
[3] Sooryakumar, R. & Klein, M. V., Phys. Rev. Lett. 45, 660– 662 (1980).
[4] Littlewood, P. & Varma, C., Phys. Rev. B 26, 4883– 4893 (1982).
[5] Budelmann, D. et al., Phys. Rev. Lett. 95, 057003 (2005).
[6] Saichu, R. P. et al., Phys. Rev. Lett. 102, 177004 (2009).
[7] Shimano, R. & Tsuji, N., Annu. Rev. Condens. Matter Phys. 11, 103– 124 (2020).
[8] T.E. Glier et al, Nature Communications, 2025, in press.
[9] Schulz, B. et al., Rev. Sci. Instrum. 76, 073107 (2005).
[10] Schwarz, L. et al., Nat Commun 11, 287 (2020).
[11] Devereaux, T. P. & Einzel, Phys. Rev. B 51, 16336 – 16357 (1995).