Short-time dynamics in 
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-wave superconductor with incipient bands

Müller, Marvin A.; Shen, Pengtao; Dzero, Maxim; Eremin, I.

doi:10.1103/physrevb.98.024522

Cited by 15 publications

(9 citation statements)

References 69 publications

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“…Indeed, a recent numerical study of Terahertz induced gap dynamics for s + is pairing has revealed an unusual coupling between the Higgs amplitude and the Leggett (relative) phase mode. 50 Exact solutions of the time-dependent two-band BCS model only exist for special fine tuned values of the intraand inter-band interaction parameters, where the problem effectively reduces to the single-band case (see below and Ref. 49).…”

Section: Introductionmentioning

confidence: 99%

Postquench gap dynamics of two-band superconductors

et al. 2019

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Recent experimental progress in the fields of cold quantum gases and ultrafast optical spectroscopy of quantum materials allows to controllably induce and probe non-adiabatic dynamics of superconductors and superfluids. The time-evolution of the gap function before relaxation with the lattice is determined by the superposition of coherently evolving individual Cooper pairs within the manifold of the Bardeen-Cooper-Schrieffer (BCS) wavefunction. While dynamics following an abrupt quench of the pairing interaction strength in the single-band BCS model has been exactly solved due to the integrability of the model, the dynamics of post-quench multi-band superconductors remain under scrutiny. Here, we develop a generalization of the Volkov-Kogan Laplace-space perturbative method that allows us to determine the non-adiabatic gap dynamics of two-band fully gapped superconductors for a wide range of quench amplitudes. Our approach expands the long-time dynamics around the steady-state asymptotic value of the gap, which is self-consistently determined, rather than around the equilibrium value of the gap. We explicitly demonstrate that this method recovers the exact solution of the long-time gap dynamics in the single-band case and perfectly agrees with a numerical solution of the two-band model. We discover that dephasing of Cooper pairs from different bands leads to faster collisionless relaxation of the gap oscillation with a power-law of t −3/2 instead of the well-known t −1/2 behavior found in the single-band case. Furthermore, the gap oscillations display beating patterns arising from the existence of two different asymptotic gap values. Our results have important implications to a variety of two-band superconductors driven out of equilibrium, such as iron-based superconductors, MgB2, and SrTiO3. arXiv:1908.06125v1 [cond-mat.supr-con]

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Section: Introductionmentioning

confidence: 99%

Postquench gap dynamics of two-band superconductors

et al. 2019

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“…The analysis of the subdominant d x 2 −y 2 symmetry within the OSSF model is beyond the scope of this work. However, we expect that the inclusion of the orbital degree of freedom within multiband approaches implemented so far (see, e.g., [36][37][38][39][40]) could provide further insight on the SC properties of IBS.…”

Section: Discussionmentioning

confidence: 99%

The Role of Orbital Nesting in the Superconductivity of Iron-Based Superconductors

et al. 2021

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We analyze the magnetic excitations and the spin-mediated superconductivity in iron-based superconductors within a low energy model that operates in the band basis, but fully incorporates the orbital character of the spin excitations. We show how the orbital selectivity, encoded in our low energy description, simplifies substantially the analysis and allows for analytical treatments, while retaining all the main features of both spin excitations and gap functions computed using multiorbital models. Importantly, our analysis unveils the orbital matching between the hole and electron pockets as the key parameter to determine the momentum dependence and the hierarchy of the superconducting gaps, instead of the Fermi surface matching, as in the common nesting scenario.

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“…Such states can host multiple interesting phenomena, such as massless modes 5,14 , mixed collective modes 5,[15][16][17][18][19][20][21][22] , new flux flow phenomena 23 , stable and metastable Skyrmions [24][25][26] , new thermoelectric effects 27,28 and new fluctuation-induced phases 3,[29][30][31] .…”

Section: Introductionmentioning

confidence: 99%

Magnetic field behavior in s+is and s+id superconductors: Twisting of applied and spontaneous fields

et al. 2021

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We consider magnetic field screening and spontaneous magnetic fields in s + is and s + id superconductors both analytically and numerically. We show that in general, the linearized model couples the moduli of order parameters to the magnetic modes. This causes magnetic field screening that does not follow the standard exponential law and hence cannot be characterized by a single length scale: the London penetration length.We also demonstrate that the resulting linear mixed modes, correctly predict spontaneous fields and their orientation. We show that these mixed modes cause external fields to decay nonmonotonically in the bulk. This is observed as the magnetic field twisting direction, up to an angle of π/2, as it decays in the nonlinear model.Finally, we demonstrate that there are two non-degenerate domain wall solutions for any given parameter set. These are distinguished by either clockwise or anti-clockwise interpolation of the inter-component phase difference, each producing a different solution for the other fields. However, only domain wall solutions in s + id systems exhibit magnetic field twisting.

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Short-time dynamics in s+is -wave superconductor with incipient bands

Cited by 15 publications

References 69 publications

Postquench gap dynamics of two-band superconductors

Postquench gap dynamics of two-band superconductors

The Role of Orbital Nesting in the Superconductivity of Iron-Based Superconductors

Magnetic field behavior in s+is and s+id superconductors: Twisting of applied and spontaneous fields

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