Observation of supersymmetric pseudo-Landau levels in strained microwave graphene

Matthieu Bellec; Charles Poli; Ulrich Kuhl; Fabrice Mortessagne; Henning Schomerus

doi:10.1038/s41377-020-00351-2

Go to Nature Website

Your Location：

Home >

Browse articles >

Observation of supersymmetric pseudo-Landau levels in strained microwave graphene

Original Articles

- Observation of supersymmetric pseudo-Landau levels in strained microwave graphene
- Light: Science & Applications Vol. 9, Issue 5, Pages: 1410-1416(2020)
- Affiliations：
  
  1.Institut de Physique de Nice (INPHYNI), Université Côte d'Azur, CNRS, 06108 Nice, France
  2.Department of Physics, Lancaster University, Lancaster LA1 4YB, UK
- Author bio：
  
  Matthieu Bellec (matthieu.bellec@inphyni.cnrs.fr)
  Fabrice Mortessagne (Fabrice.Mortessagne@unice.fr)
  Henning Schomerus (h.schomerus@lancaster.ac.uk)
- Funds：
- DOI：10.1038/s41377-020-00351-2
  CLC：
- Published：2020，
  
  Published Online：19 August 2020，
  
  Received：28 January 2020，
  
  Revised：04 June 2020，
  
  Accepted：16 June 2020
- Accepted：
Scan QR Code
Bellec, M. et al. Observation of supersymmetric pseudo-Landau levels in strained microwave graphene. Light: Science & Applications, 9, 1410-1416 (2020).
DOI：

Bellec, M. et al. Observation of supersymmetric pseudo-Landau levels in strained microwave graphene. Light: Science & Applications, 9, 1410-1416 (2020). DOI： 10.1038/s41377-020-00351-2.

摘要

Abstract

Using an array of coupled microwave resonators arranged in a deformed honeycomb lattice

we experimentally observe the formation of pseudo-Landau levels in the whole crossover from vanishing to large pseudomagnetic field strengths. This result is achieved by utilising an adaptable setup in a geometry that is compatible with the pseudo-Landau levels at all field strengths. The adopted approach enables us to observe the fully formed flat-band pseudo-Landau levels spectrally as sharp peaks in the photonic density of states and image the associated wavefunctions spatially

where we provide clear evidence for a characteristic nodal structure reflecting the previously elusive supersymmetry in the underlying low-energy theory. In particular

we resolve the full sublattice polarisation of the anomalous 0th pseudo-Landau level

which reveals a deep connection to zigzag edge states in the unstrained case.

关键词

Keywords

references

Hasan, M. Z.&Kane, C. L. Colloquium: topological insulators.Rev. Mod. Phys.82, 3045–3067 (2010)..

Benalcazar, W. A., Bernevig, B. A.&Hughes, T. L. Quantized electric multipole insulators.Science357, 61–66 (2017)..

Nielsen, H. B.&Ninomiya, M. The Adler-Bell-Jackiw anomaly and Weyl fermions in a crystal.Phys. Lett. B130, 389–396 (1983)..

Callan, Jr. C. G.&Harvey, J. A. Anomalies and fermion zero modes on strings and domain walls.Nucl. Phys. B250, 427–436 (1985)..

Poli, C. et al. Selective enhancement of topologically induced interface states in a dielectric resonator chain.Nat. Commun.6, 6710 (2015)..

St-Jean, P. et al. Lasing in topological edge states of a one-dimensional lattice.Nat. Photon.11, 651–656 (2017)..

Zhao, H. et al. Topological hybrid silicon microlasers.Nat. Commun.9, 981 (2018)..

Parto, M. et al. Edge-mode lasing in 1d topological active arrays.Phys. Rev. Lett.120, 113901 (2018)..

Reisner, M. et al. Self-shielded topological receiver protectors.Phys. Rev. Appl.13, 034067 (2020)..

Guzmán-Silva, D. et al. Experimental observation of bulk and edge transport in photonic Lieb lattices.New J. Phys.16, 063061 (2014)..

Mukherjee, S. et al. Observation of a localized flat-band state in a photonic Lieb lattice.Phys. Rev. Lett.114, 245504 (2015)..

Diebel, F. et al. Conical diffraction and composite Lieb bosons in photonic lattices.Phys. Rev. Lett.116, 183902 (2016)..

Poli, C. et al. Partial chiral symmetry breaking as a route to spectrally isolated topological defect states in two-dimensional artificial materials.2D Materials4, 025008 (2017)..

Baboux, F. et al. Bosonic condensation and disorder-induced localization in a flat band.Phys. Rev. Lett.116, 066402 (2016)..

Levy, N. et al. Strain-induced pseudo-magnetic fields greater than 300 Tesla in graphene nanobubbles.Science329, 544–547 (2010)..

Georgi, A. et al. Tuning the pseudospin polarization of graphene by a pseudomagnetic field.Nano Lett.17, 2240–2245 (2017)..

Gomes et al. Designer Dirac fermions and topological phases in molecular graphene.Nature483, 306–310 (2012)..

Rechtsman, M. C. et al. Strain-induced pseudomagnetic field and photonic Landau levels in dielectric structures.Nat. Photon.7, 153–158 (2013)..

Wen, X. et al. Acoustic Landau quantization and quantum-Hall-like edge states.Nat. Phys.15, 352–356 (2019)..

Guinea, F., Katsnelson, M. I.&Geim, A. K. Energy gaps and a zero-field quantum Hall effect in graphene by strain engineering.Nat. Phys.6, 30–33 (2010)..

Fujita, M. et al. Peculiar localized state at zigzag graphite edge.J. Phys. Soc. Jpn65, 1920–1923 (1996)..

Salerno, G. et al. Propagating edge states in strained honeycomb lattices.Phys. Rev. B95, 245418 (2017)..

Kunst, F. K., van Miert, G.&Bergholtz, E. J. Lattice models with exactly solvable topological hinge and corner states.Phys. Rev. B97, 241405 (2018)..

Jackiw, R. Fractional charge and zero modes for planar systems in a magnetic field.Phys. Rev. D29, 2375–2377 (1984)..

Bellec, M. et al. Topological transition of Dirac points in a microwave experiment.Phys. Rev. Lett.110, 033902 (2013)..

Bellec, M. et al. Tight-binding couplings in microwave artificial graphene.Phys. Rev. B88, 115437 (2013)..

Schomerus, H.&Halpern, N. Y. Parity anomaly and Landau-level lasing in strained photonic honeycomb lattices.Phys. Rev. Lett.110, 013903 (2013)..

Sutherland, B. Localization of electronic wave functions due to local topology.Phys. Rev. B34, 5208–5211 (1986)..

Poli, C., Arkinstall, J.&Schomerus, H. Degeneracy doubling and sublattice polarization in strain-induced pseudo-Landau levels.Phys. Rev. B90, 155418 (2014)..

Rachel, S. et al. M. Strain-induced Landau levels in arbitrary dimensions with an exact spectrum.Phys. Rev. Lett.117, 266801 (2016)..

Castro Neto, A. H. et al. The electronic properties of graphene.Rev. Mod. Phys.81, 109–162 (2009)..

Thaller, B.The Dirac Equation(Springer, New York, 1992).

Daimon, H. et al. Structure factor in photoemission from valence band.J. Electron Spectrosc.76, 487–492 (1995)..

Bostwick, A. et al. Quasiparticle dynamics in graphene.Nat. Phys.3, 36–40 (2007)..

Abbaszadeh, H. et al. Sonic Landau levels and synthetic gauge fields in mechanical metamaterials.Phys. Rev. Lett.119, 195502 (2017)..

Jamadi, O. et al. Direct observation of photonic Landau levels and helical edge states in strained honeycomb lattices. arXiv: 2001.10395 (2020).

Smirnova, D. A., Padmanabhan, P.&Leykam, D. Parity anomaly laser.Opt. Lett.44, 1120–1123 (2019)..

Reisner, M. et al. Microwave limiters implemented by coupled dielectric resonators based on a topological defect mode and CT-symmetry breaking.Acta Phys. Pol. A136, 790–796 (2019)..

Views

Downloads

CSCD

Alert me when the article has been cited

Submit

Tools

Publicity Resources

No data

Related Author

No data

Related Institution

No data

⁰