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Title: Postquench gap dynamics of two-band superconductors

Abstract

Recent experimental progress in the fields of cold quantum gases and ultrafast optical spectroscopy of quantum materials allows us to controllably induce and probe nonadiabatic 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) wave function. 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 postquench multiband superconductors remain under scrutiny. Here, we develop a generalization of the Volkov-Kogan Laplace-space perturbative method that allows us to determine the nonadiabatic 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 fastermore » 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. Moreover, 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.« less

Authors:
ORCiD logo [1];  [2]; ORCiD logo [3];  [1]
+ Show Author Affiliations
  1. Univ. of Minnesota, Minneapolis, MN (United States)
  2. Paul Scherrer Inst. (PSI), Villigen (Switzerland)
  3. Iowa State Univ., Ames, IA (United States); Ames Lab., Ames, IA (United States)
Publication Date:
Research Org.:
Ames Laboratory (AMES), Ames, IA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1579928
Alternate Identifier(s):
OSTI ID: 1580006
Report Number(s):
IS-J-10110
Journal ID: ISSN 2469-9950; PRBMDO; TRN: US2102260
Grant/Contract Number:  
AC02-07CH11358; SC0012336
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 100; Journal Issue: 14; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Cui, Tianbai, Schütt, Michael, Orth, Peter P., and Fernandes, Rafael M. Postquench gap dynamics of two-band superconductors. United States: N. p., 2019. Web. doi:10.1103/PhysRevB.100.144513.
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Cui, Tianbai, Schütt, Michael, Orth, Peter P., & Fernandes, Rafael M. Postquench gap dynamics of two-band superconductors. United States. https://doi.org/10.1103/PhysRevB.100.144513
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Cui, Tianbai, Schütt, Michael, Orth, Peter P., and Fernandes, Rafael M. Wed . "Postquench gap dynamics of two-band superconductors". United States. https://doi.org/10.1103/PhysRevB.100.144513. https://www.osti.gov/servlets/purl/1579928.
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@article{osti_1579928,
title = {Postquench gap dynamics of two-band superconductors},
author = {Cui, Tianbai and Schütt, Michael and Orth, Peter P. and Fernandes, Rafael M.},
abstractNote = {Recent experimental progress in the fields of cold quantum gases and ultrafast optical spectroscopy of quantum materials allows us to controllably induce and probe nonadiabatic 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) wave function. 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 postquench multiband superconductors remain under scrutiny. Here, we develop a generalization of the Volkov-Kogan Laplace-space perturbative method that allows us to determine the nonadiabatic 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. Moreover, 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.},
doi = {10.1103/PhysRevB.100.144513},
journal = {Physical Review B},
number = 14,
volume = 100,
place = {United States},
year = {Wed Oct 23 00:00:00 EDT 2019},
month = {Wed Oct 23 00:00:00 EDT 2019}
}
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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1103/PhysRevB.100.144513
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Cited by: 3 works
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Figures / Tables:

FIG. 1 FIG. 1: Summary of our main results for the gap dynamics of a quenched two-band superconductor. In these figures, only inter-band pairing is included. (panel A) When the densities of states of the two bands are the same, $η$ ≡ $\frac{N1}{N2}$ = 1, the behavior is the same as thatmore » of a single-band model. (panel B) When $η$ ≠ 1, the behavior is different in that the damping of the gap oscillations changes from $t$−1/2 to $t$−3/2 and a beating pattern occurs due to the existence of two oscillation frequencies (inset). In this figure, $∆$1 is the gap of band 1 and $∆$1$f$ is the quenched value of the gap. The parameters used here were $v_i$ = 0.19, $v_f$ = 0.2 for both panel A and B.« less
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