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Time-reversal symmetry breaking, collective modes, and Raman spectrum in pair-density-wave states

2025/01/23 by Yiming Wu, Andrey V. Chubukov, Wu, Yi-Ming +5 · 3 citations
Physics and Astronomy · #Quantum optics and atomic interactions #Cold Atom Physics and Bose-Einstein Condensates

paper · pdf · doi:10.48550/arxiv.2501.14138

Abstract

Inspired by empirical evidence of the existence of pair-density-wave (PDW) order in certain underdoped cuprates, we investigate the collective modes in systems with unidirectional PDW order with momenta ± Q and a d-wave form-factor with special focus on the amplitude (Higgs) modes. In the pure PDW state, there are two overdamped Higgs modes. We show that a phase with co-existing PDW and uniform (d-wave) superconducting (SC) order, PDW/SC, spontaneously breaks time-reversal symmetry - and thus is distinct from a simpler phase, SC/CDW, with coexisting SC and charge-density-wave (CDW) order. The PDW/SC phase exhibits three Higgs modes, one of which is sharply peaked and is predominantly a PDW fluctuation, symmetric between Q and -Q, whose damping rate is strongly reduced by SC. This sharp mode should be visible in Raman experiments.

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