2015
DOI: 10.1103/physrevlett.115.257001
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Transient Dynamics ofd-Wave Superconductors after a Sudden Excitation

Abstract: Motivated by recent ultrafast pump-probe experiments on high-temperature superconductors, we discuss the transient dynamics of a d-wave BCS model after a quantum quench of the interaction parameter. We find that the existence of gap nodes, with the associated nodal quasiparticles, introduces a decay channel which makes the dynamics much faster than in the conventional s-wave model. For every value of the quench parameter, the superconducting gap rapidly converges to a stationary value smaller than the one at e… Show more

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Cited by 84 publications
(87 citation statements)
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“…The problem of how a superconducting (SC) state evolves in time after an external stimulation has attracted the interest of researchers for a long time [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. On the theoretical side, static mean-field analyses, which neglect inelastic collisions, have been widely employed to study the coherent dynamics.…”
Section: Introductionmentioning
confidence: 99%
“…The problem of how a superconducting (SC) state evolves in time after an external stimulation has attracted the interest of researchers for a long time [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. On the theoretical side, static mean-field analyses, which neglect inelastic collisions, have been widely employed to study the coherent dynamics.…”
Section: Introductionmentioning
confidence: 99%
“…Before this experiment [15], the amplitude Higgs mode had been observed only in a special case, 2H -NbSe 2 , where SC coexists with a charge density wave [4][5][6]18,19]. Theoretical studies of the SC order parameter dynamics have so far primarily focused on the static mean-field dynamics [1][2][3][5][6][7][8][9][10][11][12][13]17,19,[22][23][24]. One important conclusion of these works is that the frequency of the Higgs amplitude mode (ω H ) should coincide with the SC gap (2 SC ) in the BCS regime [27], which is a threshold for quasiparticle excitations.…”
Section: Introductionmentioning
confidence: 99%
“…2. The crucial difference with respect to previously considered quenches in superconductors [12,28] occurs, however, for small finite couplings. In this limit, the nematic order parameter does not vanish but approaches a finite, time independent stationary value.…”
mentioning
confidence: 68%
“…Second, the equilibrium low-energy thermodynamics of 2D Dirac fermions is universal, no matter whether it is for graphene [30], d-wave superconductors [31] or the present nematic state. In sharp contrast, the dynamics after quench differs significantly from that of a d-wave BCS superconductor [28] where the order parameter vanishes identically for small quenches. We trace this difference back to the non-trivial non-interacting spectrum and its 2π Berry phase in Eq.…”
mentioning
confidence: 79%