Classification and characterization of nonequilibrium Higgs modes in unconventional superconductors.
Journal
Nature communications
ISSN: 2041-1723
Titre abrégé: Nat Commun
Pays: England
ID NLM: 101528555
Informations de publication
Date de publication:
15 Jan 2020
15 Jan 2020
Historique:
received:
05
09
2018
accepted:
26
11
2019
entrez:
17
1
2020
pubmed:
17
1
2020
medline:
17
1
2020
Statut:
epublish
Résumé
Recent findings of new Higgs modes in unconventional superconductors require a classification and characterization of the modes allowed by nontrivial gap symmetry. Here we develop a theory for a tailored nonequilibrium quantum quench to excite all possible oscillation symmetries of a superconducting condensate. We show that both a finite momentum transfer and quench symmetry allow for an identification of the resulting Higgs oscillations. These serve as a fingerprint for the ground state gap symmetry. We provide a classification scheme of these oscillations and the quench symmetry based on group theory for the underlying lattice point group. For characterization, analytic calculations as well as full scale numeric simulations of the transient optical response resulting from an excitation by a realistic laser pulse are performed. Our classification of Higgs oscillations allows us to distinguish between different symmetries of the superconducting condensate.
Identifiants
pubmed: 31941881
doi: 10.1038/s41467-019-13763-5
pii: 10.1038/s41467-019-13763-5
pmc: PMC6962398
doi:
Types de publication
Journal Article
Langues
eng
Sous-ensembles de citation
IM
Pagination
287Références
Higgs, P. W. Broken symmetries and the masses of gauge bosons. Phys. Rev. Lett. 13, 508 (1964).
doi: 10.1103/PhysRevLett.13.508
Varma, C. Higgs boson in superconductors. J. Low. Temp. Phys. 126, 901–909 (2002).
doi: 10.1023/A:1013890507658
Podolsky, D., Auerbach, A. & Arovas, D. P. Visibility of the amplitude (Higgs) mode in condensed matter. Phys. Rev. B 84, 174522 (2011).
doi: 10.1103/PhysRevB.84.174522
Pashkin, A. & Leitenstorfer, A. Particle physics in a superconductor. Science 345, 1121–1122 (2014).
pubmed: 25190780
doi: 10.1126/science.1257302
Pekker, D. & Varma, C. Amplitude/Higgs modes in condensed matter physics. Annu. Rev. Condens. Matter Phys. 6, 269–297 (2015).
doi: 10.1146/annurev-conmatphys-031214-014350
Littlewood, P. B. & Varma, C. M. Gauge-invariant theory of the dynamical interaction of charge density waves and superconductivity. Phys. Rev. Lett. 47, 811–814 (1981).
doi: 10.1103/PhysRevLett.47.811
Littlewood, P. B. & Varma, C. M. Amplitude collective modes in superconductors and their coupling to charge-density waves. Phys. Rev. B 26, 4883–4893 (1982).
doi: 10.1103/PhysRevB.26.4883
Méasson, M.-A. et al. Amplitude Higgs mode in the [Formula: see text] superconductor. Phys. Rev. B 89, 060503 (2014).
doi: 10.1103/PhysRevB.89.060503
Grasset, R. et al. Higgs-mode radiance and charge-density-wave order in [Formula: see text]. Phys. Rev. B 97, 094502 (2018).
doi: 10.1103/PhysRevB.97.094502
Grasset, R. et al. Pressure-induced collapse of the charge density wave and higgs mode visibility in [Formula: see text]. Phys. Rev. Lett. 122, 127001 (2019).
pubmed: 30978099
doi: 10.1103/PhysRevLett.122.127001
Matsunaga, R. & Shimano, R. Nonequilibrium BCS state dynamics induced by intense terahertz pulses in a superconducting NbN film. Phys. Rev. Lett. 109, 187002 (2012).
pubmed: 23215317
doi: 10.1103/PhysRevLett.109.187002
Matsunaga, R. et al. Higgs amplitude mode in the BCS superconductors [Formula: see text] induced by terahertz pulse excitation. Phys. Rev. Lett. 111, 057002 (2013).
pubmed: 23952432
doi: 10.1103/PhysRevLett.111.057002
Matsunaga, R. et al. Light-induced collective pseudospin precession resonating with Higgs mode in a superconductor. Science 345, 1145–1149 (2014).
pubmed: 25011555
doi: 10.1126/science.1254697
Matsunaga, R. et al. Polarization-resolved terahertz third-harmonic generation in a single-crystal superconductor NbN: dominance of the Higgs mode beyond the BCS approximation. Phys. Rev. B 96, 020505 (2017).
doi: 10.1103/PhysRevB.96.020505
Krull, H., Bittner, N., Uhrig, G. S., Manske, D. & Schnyder, A. P. Coupling of Higgs and Leggett modes in non-equilibrium superconductors. Nat. Commun. 7, 11921 (2016).
pubmed: 27323887
pmcid: 4919519
doi: 10.1038/ncomms11921
Murotani, Y., Tsuji, N. & Aoki, H. Theory of light-induced resonances with collective Higgs and Leggett modes in multiband superconductors. Phys. Rev. B 95, 104503 (2017).
doi: 10.1103/PhysRevB.95.104503
Barlas, Y. & Varma, C. M. Amplitude or Higgs modes in [Formula: see text] -wave superconductors. Phys. Rev. B 87, 054503 (2013).
doi: 10.1103/PhysRevB.87.054503
Mansart, B. et al. Coupling of a high-energy excitation to superconducting quasiparticles in a cuprate from coherent charge fluctuation spectroscopy. Proc. Natl Acad. Sci. USA 110, 4539 (2013).
doi: 10.1073/pnas.1218742110
Katsumi, K. et al. Higgs mode in the [Formula: see text] -wave superconductor [Formula: see text] driven by an intense terahertz pulse. Phys. Rev. Lett. 120, 117001 (2018).
pubmed: 29601772
doi: 10.1103/PhysRevLett.120.117001
Katsumi, K., Li, Z. Z., Raffy, H., Gallais, Y., & Shimano, R. Superconducting fluctuation probed by the Higgs mode in Bi[Formula: see text] Sr2 CaCu[Formula: see text] O[Formula: see text] thin films. Preprint at https://arxiv.org/abs/1910.07695 (2019).
Chu, H. et al. New collective mode in superconducting cuprates uncovered by Higgs spectroscopy. Preprint at https://arxiv.org/abs/1901.06675 (2019).
Jujo, T. Two-photon absorption by impurity scattering and amplitude mode in conventional superconductors. J. Phys. Soc. Jpn. 84, 114711 (2015).
doi: 10.7566/JPSJ.84.114711
Yu, T. & Wu, M. W. Gauge-invariant theory of quasiparticle and condensate dynamics in response to terahertz optical pulses in superconducting semiconductor quantum wells. I. [Formula: see text] -wave superconductivity in the weak spin-orbit coupling limit. Phys. Rev. B 96, 155311 (2017).
doi: 10.1103/PhysRevB.96.155311
Jujo, T. Quasiclassical theory on third-harmonic generation in conventional superconductors with paramagnetic impurities. J. Phys. Soc. Jpn. 87, 024704 (2018).
doi: 10.7566/JPSJ.87.024704
Murotani, Y. & Shimano, R. Nonlinear optical response of collective modes in multiband superconductors assisted by nonmagnetic impurities. Phys. Rev. B 99, 224510 (2019).
doi: 10.1103/PhysRevB.99.224510
Silaev, M. Nonlinear electromagnetic response and Higgs-mode excitation in BCS superconductors with impurities. Phys. Rev. B 99, 224511 (2019).
doi: 10.1103/PhysRevB.99.224511
Moor, A., Volkov, A. F. & Efetov, K. B. Amplitude Higgs mode and admittance in superconductors with a moving condensate. Phys. Rev. Lett. 118, 047001 (2017).
pubmed: 28186801
doi: 10.1103/PhysRevLett.118.047001
Nakamura, S. et al. Infrared activation of the Higgs mode by supercurrent injection in superconducting NbN. Phys. Rev. Lett. 122, 257001 (2019).
pubmed: 31347872
doi: 10.1103/PhysRevLett.122.257001
Papenkort, T., Axt, V. M. & Kuhn, T. Coherent dynamics and pump-probe spectra of BCS superconductors. Phys. Rev. B 76, 224522 (2007).
doi: 10.1103/PhysRevB.76.224522
Papenkort, T., Kuhn, T. & Axt, V. M. Coherent control of the gap dynamics of BCS superconductors in the nonadiabatic regime. Phys. Rev. B 78, 132505 (2008).
doi: 10.1103/PhysRevB.78.132505
Schnyder, A. P., Manske, D. & Avella, A. Resonant generation of coherent phonons in a superconductor by ultrafast optical pump pulses. Phys. Rev. B 84, 214513 (2011).
doi: 10.1103/PhysRevB.84.214513
Unterhinninghofen, J., Manske, D. & Knorr, A. Theory of ultrafast nonequilibrium dynamics in [Formula: see text] -wave superconductors. Phys. Rev. B 77, 180509 (2008).
doi: 10.1103/PhysRevB.77.180509
Krull, H., Manske, D., Uhrig, G. S. & Schnyder, A. P. Signatures of nonadiabatic BCS state dynamics in pump-probe conductivity. Phys. Rev. B 90, 014515 (2014).
doi: 10.1103/PhysRevB.90.014515
Chou, Y.-Z., Liao, Y. & Foster, M. S. Twisting Anderson pseudospins with light: quench dynamics in terahertz-pumped BCS superconductors. Phys. Rev. B 95, 104507 (2017).
doi: 10.1103/PhysRevB.95.104507
Zachmann, M. et al. Ultrafast terahertz-field-induced dynamics of superconducting bulk and quasi-1D samples. New J. Phys. 15, 055016 (2013).
doi: 10.1088/1367-2630/15/5/055016
Akbari, A., Schnyder, A. P., Manske, D. & Eremin, I. Theory of nonequilibrium dynamics of multiband superconductors. Europhys. Lett. 101, 17002 (2013).
doi: 10.1209/0295-5075/101/17002
Murakami, Y., Werner, P., Tsuji, N. & Aoki, H. Multiple amplitude modes in strongly coupled phonon-mediated superconductors. Phys. Rev. B 93, 094509 (2016).
doi: 10.1103/PhysRevB.93.094509
Kemper, A. F., Sentef, M. A., Moritz, B., Freericks, J. K. & Devereaux, T. P. Direct observation of Higgs mode oscillations in the pump-probe photoemission spectra of electron-phonon mediated superconductors. Phys. Rev. B 92, 224517 (2015).
doi: 10.1103/PhysRevB.92.224517
Nosarzewski, B., Moritz, B., Freericks, J. K., Kemper, A. F. & Devereaux, T. P. Amplitude mode oscillations in pump-probe photoemission spectra from a [Formula: see text] -wave superconductor. Phys. Rev. B 96, 184518 (2017).
doi: 10.1103/PhysRevB.96.184518
Volkov, A. F. & Kogan, S. M. Collisionless relaxation of the energy gap in superconductors. Sov. Phys. JETP 38, 1018 (1974).
Barankov, R. A., Levitov, L. S. & Spivak, B. Z. Collective Rabi oscillations and solitons in a time-dependent BCS pairing problem. Phys. Rev. Lett. 93, 160401 (2004).
pubmed: 15524957
doi: 10.1103/PhysRevLett.93.160401
Yuzbashyan, E. A., Altshuler, B. L., Kuznetsov, V. B. & Enolskii, V. Z. Nonequilibrium cooper pairing in the nonadiabatic regime. Phys. Rev. B 72, 220503 (2005).
doi: 10.1103/PhysRevB.72.220503
Yuzbashyan, E. A., Tsyplyatyev, O. & Altshuler, B. L. Relaxation and persistent oscillations of the order parameter in fermionic condensates. Phys. Rev. Lett. 96, 097005 (2006).
pubmed: 16606301
doi: 10.1103/PhysRevLett.96.097005
Yuzbashyan, E. A., Altshuler, B. L., Kuznetsov, V. B. & Enolskii, V. Z. Solution for the dynamics of the BCS and central spin problems. J. Phys. A 38, 7831 (2005).
doi: 10.1088/0305-4470/38/36/003
Peronaci, F., Schiró, M. & Capone, M. Transient dynamics of [Formula: see text] -wave superconductors after a sudden excitation. Phys. Rev. Lett. 115, 257001 (2015).
pubmed: 26722940
doi: 10.1103/PhysRevLett.115.257001
Fülöp, J. A. et al. Generation of sub-mJ terahertz pulses by optical rectification. Opt. Lett. 37, 557 (2012).
pubmed: 22344105
doi: 10.1364/OL.37.000557
Tsuji, N. & Aoki, H. Theory of Anderson pseudospin resonance with Higgs mode in superconductors. Phys. Rev. B 92, 064508 (2015).
doi: 10.1103/PhysRevB.92.064508
Cea, T., Castellani, C. & Benfatto, L. Nonlinear optical effects and third-harmonic generation in superconductors: Cooper pairs versus Higgs mode contribution. Phys. Rev. B 93, 180507 (2016).
doi: 10.1103/PhysRevB.93.180507
Tsuji, N., Murakami, Y. & Aoki, H. Nonlinear light-Higgs coupling in superconductors beyond BCS: effects of the retarded phonon-mediated interaction. Phys. Rev. B 94, 224519 (2016).
doi: 10.1103/PhysRevB.94.224519
Cea, T., Barone, P., Castellani, C. & Benfatto, L. Polarization dependence of the third-harmonic generation in multiband superconductors. Phys. Rev. B 97, 094516 (2018).
doi: 10.1103/PhysRevB.97.094516
Dal Conte, S. et al. Disentangling the electronic and phononic glue in a high-Tc superconductor. Science 335, 1600 (2012).
pubmed: 22461606
doi: 10.1126/science.1216765
Böhm, T. et al. Balancing act: evidence for a strong subdominant [Formula: see text] -wave pairing channel in [Formula: see text]. Phys. Rev. X 4, 041046 (2014).
Anderson, P. W. Random-phase approximation in the theory of superconductivity. Phys. Rev. 112, 1900 (1958).
doi: 10.1103/PhysRev.112.1900
Pashkin, A. et al. Femtosecond response of quasiparticles and phonons in superconducting [Formula: see text] studied by wideband terahertz spectroscopy. Phys. Rev. Lett. 105, 067001 (2010).
pubmed: 20867998
doi: 10.1103/PhysRevLett.105.067001
Raines, Z. M., Stanev, V. G. & Galitski, V. M. Hybridization of Higgs modes in a bond-density-wave state in cuprates. Phys. Rev. B 92, 184511 (2015).
doi: 10.1103/PhysRevB.92.184511
Bardasis, A. & Schrieffer, J. R. Excitons and plasmons in superconductors. Phys. Rev. 121, 1050 (1961).
doi: 10.1103/PhysRev.121.1050
Kretzschmar, F. et al. Raman-scattering detection of nearly degenerate [Formula: see text] -wave and [Formula: see text] -wave pairing channels in iron-based [Formula: see text] and [Formula: see text] superconductors. Phys. Rev. Lett. 110, 187002 (2013).
pubmed: 23683238
doi: 10.1103/PhysRevLett.110.187002
Böhm, T. et al. Microscopic origin of Cooper pairing in the iron-based superconductor Ba[Formula: see text] K[Formula: see text] Fe[Formula: see text] As[Formula: see text]. npj Quantum Mater. 3, 48 (2018).
doi: 10.1038/s41535-018-0118-z
Müller, M. A., Volkov, P. A., Paul, I. & Eremin, I. M. Collective modes in pumped unconventional superconductors with competing ground states. Phys. Rev. B 100, 140501 (2019).
doi: 10.1103/PhysRevB.100.140501
Junginger, F. et al. Nonperturbative interband response of a bulk InSb semiconductor driven off resonantly by terahertz electromagnetic few-cycle pulses. Phys. Rev. Lett. 109, 147403 (2012).
pubmed: 23083284
doi: 10.1103/PhysRevLett.109.147403
Gedik, N., Orenstein, J., Liang, R., Bonn, D. A. & Hardy, W. N. Diffusion of nonequilibrium quasi-particles in a cuprate superconductor. Science 300, 1410 (2003).
pubmed: 12775834
doi: 10.1126/science.1083038
Ren, Y., Xu, Z. & Lüpke, G. Ultrafast collective dynamics in the charge-density-wave conductor K[Formula: see text] MoO[Formula: see text]. J. Chem. Phys. 120, 4755 (2004).
pubmed: 15267335
doi: 10.1063/1.1645785
Werdehausen, D. et al. Coherent order parameter oscillations in the ground state of the excitonic insulator Ta2NiSe5. Sci. Adv. 4, eaap8652 (2018a).
pubmed: 29740599
pmcid: 5938280
doi: 10.1126/sciadv.aap8652
Werdehausen, D. et al. Ultrafast dynamics and coherent order parameter oscillations under photo-excitation in the excitonic insulator Ta2NiSe5. in Ultrafast Bandgap Photonics III, Vol. 10638 (ed Rafailov, M. K.) International Society for Optics and Photonics 1–6 (SPIE, 2018).
Mitrano, M. et al. Possible light-induced superconductivity in K3C60 at high temperature. Nature 530, 461 (2016).
pubmed: 26855424
pmcid: 4820655
doi: 10.1038/nature16522
Fausti, D. et al. Light-induced superconductivity in a stripe-ordered cuprate. Science 331, 189 (2011).
pubmed: 21233381
doi: 10.1126/science.1197294
Bittner, N., Tohyama, T., Kaiser, S. & Manske, D. Possible light-induced superconductivity in a strongly correlated electron system. J. Phys. Soc. Jpn. 88, 044704 (2019).
doi: 10.7566/JPSJ.88.044704
Kaiser, S. Light-induced superconductivity in high-Tc cuprates. Phys. Scr. 92, 103001 (2017).
doi: 10.1088/1402-4896/aa8201
Souliou, S.-M. et al. Raman scattering from Higgs mode oscillations in the two-dimensional antiferromagnet [Formula: see text]. Phys. Rev. Lett. 119, 067201 (2017).
pubmed: 28949630
doi: 10.1103/PhysRevLett.119.067201
Rossi, F. & Kuhn, T. Theory of ultrafast phenomena in photoexcited semiconductors. Rev. Mod. Phys. 74, 895 (2002).
doi: 10.1103/RevModPhys.74.895