Non-reciprocal robotic metamaterials

Abstract

Non-reciprocal transmission of motion is potentially highly beneficial to a wide range of applications, ranging from wave guiding to shock and vibration damping and energy harvesting. To date, large levels of non-reciprocity have been realized using broken spatial or temporal symmetries, yet mostly in the vicinity of resonances, bandgaps or using nonlinearities, thereby non-reciprocal transmission remains limited to narrow ranges of frequencies or input magnitudes and sensitive to attenuation. Here, we create a robotic mechanical metamaterials wherein we use local control loops to break reciprocity at the level of the interactions between the unit cells. We show theoretically and experimentally that first-of-their-kind spatially asymmetric standing waves at all frequencies and unidirectionally amplified propagating waves emerge. These findings realize the mechanical analogue of the non-Hermitian skin effect. They significantly advance the field of active metamaterials for non hermitian physics and open avenues to channel mechanical energy in unprecedented ways.

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References 46

1. 1.

   Maxwell JC. Xlv. On reciprocal figures and diagrams of forces. Philos. Mag. Ser. 4. 1864;27:250-261.

   Not in our library10.1080/14786446408643663

2. 2.

   Casimir HBG. On onsager’s principle of microscopic reversibility. Rev. Mod. Phys. 1945;17:343.

   Not in our library10.1103/revmodphys.17.343

3. 3.

   Sounas DL, Alù A. Non-reciprocal photonics based on time modulation. Nat. Photon. 2017;11:774-783.

   Not in our library10.1038/s41566-017-0051-x

4. 4.

   Xu H, Jiang L, Clerk AA, Harris JGE. Nonreciprocal control and cooling of phonon modes in an optomechanical system. Nature. 2019;568:65-69.

   Not in our library10.1038/s41586-019-1061-2

5. 5.

   Potton RJ. Reciprocity in optics. Rep. Prog. Phys. 2004;67:717-754.

   Not in our library10.1088/0034-4885/67/5/r03

6. 6.

   Estep NA, Sounas DL, Soric J, Alù A. Magnetic-free non-reciprocity and isolation based on parametrically modulated coupled-resonator loops. Nat. Phys. 2014;10:923-927.

   Not in our library10.1038/nphys3134

7. 7.

   Ruesink F, Miri MA, Alù A, Verhagen E. Nonreciprocity and magnetic-free isolation based on optomechanical interactions. Nat. Commun. 2016;7:13662.

   Not in our library10.1038/ncomms13662

8. 8.

   Kodera T, Sounas DL, Caloz C. Magnetless nonreciprocal metamaterial (mnm) technology: application to microwave components. IEEE Trans. Microw. Theory Techn. 2013;61:1030-1042.

   Not in our library10.1109/tmtt.2013.2238246

9. 9.

   Fleury R, Sounas DL, Sieck CF, Haberman MR, Alù A. Sound isolation and giant linear nonreciprocity in a compact acoustic circulator. Science. 2014;343:516-519.

   Not in our library10.1126/science.1246957

10. 10.

    Peano, V., Houde, M., Marquardt, F. & Clerk, A. A. Topological quantum fluctuations and traveling wave amplifiers. Phys. Rev. X6, 041026 (2016).

    Not in our library

11. 11.
    Fundamental limits and non-reciprocal approaches in non-Hermitian quantum sensing · 2018

    No notice
12. 12.

    Nash LM, et al. Topological mechanics of gyroscopic metamaterials. Proc. Natl. Acad. Sci. USA. 2015;112:14495-14500.

    Not in our library10.1073/pnas.1507413112

13. 13.

    Coulais C, Sounas D, Alù A. Static non-reciprocity in mechanical metamaterials. Nature. 2017;542:461-464.

    Not in our library10.1038/nature21044

14. 14.

    Sounas DL, Soric J, Alù A. Broadband passive isolators based on coupled nonlinear resonances. Nat. Electron. 2018;1:113-119.

    Not in our library10.1038/s41928-018-0025-0

15. 15.

    Hadad Y, Soric JC, Alù A. Breaking temporal symmetries for emission and absorption. Proc. Natl. Acad. Sci. USA. 2016;113:3471-3475.

    Not in our library10.1073/pnas.1517363113

16. 16.

    Souslov A, van Zuiden BC, Bartolo D, Vitelli V. Topological sound in active-liquid metamaterials. Nat. Phys. 2017;13:1091-1094.

    Not in our library10.1038/nphys4193

17. 17.

    Wang Y, et al. Observation of nonreciprocal wave propagation in a dynamic phononic lattice. Phys. Rev. Lett. 2018;121:194301.

    Not in our library10.1103/physrevlett.121.194301

18. 18.

    McEvoy MA, Correll N. Materials science. materials that couple sensing, actuation, computation, and communication. Science. 2015;347:1261689.

    Not in our library10.1126/science.1261689

19. 19.

    Miskin MZ, et al. Graphene-based bimorphs for micron-sized, autonomous origami machines. Proc. Natl. Acad. Sci. USA. 2018;115:466-470.

    Not in our library10.1073/pnas.1712889115

20. 20.

    Rivet E, et al. Constant-pressure sound waves in non-hermitian disordered media. Nat. Phys. 2018;14:942-947.

    Not in our library10.1038/s41567-018-0188-7

21. 21.

    Trainiti G, et al. Time-periodic stiffness modulation in elastic metamaterials for selective wave filtering: theory and experiment. Phys. Rev. Lett. 2019;122:124301.

    Not in our library10.1103/physrevlett.122.124301

22. 22.

    Scheibner, C. et al. Odd elasticity. Preprint at: http://arxiv.org/abs/1902.07760 (2019).

    Not in our library

23. 23.

    Martinez Alvarez VM, Barrios Vargas JE, Foa Torres LEF. Non-hermitian robust edge states in one dimension: anomalous localization and eigenspace condensation at exceptional points. Phys. Rev. B. 2018;97:121401.

    Not in our library10.1103/physrevb.97.121401

24. 24.

    Yao S, Wang Z. Edge states and topological invariants of non-hermitian systems. Phys. Rev. Lett. 2018;121:086803.

    Not in our library10.1103/physrevlett.121.086803

25. 25.

    Lee CH, Thomale R. Anatomy of skin modes and topology in non-hermitian systems. Phys. Rev. B. 2019;99:201103(R).

    Not in our library10.1103/physrevb.99.201103

26. 26.

    Borgnia, D. S., Kruchkov, A. J. & Slager, R.-J. Non-hermitian boundary modes. Preprint at: http://arxiv.org/abs/1902.07217 (2019).

    Not in our library10.1103/physrevlett.124.056802

27. 27.

    Helbig, T. et al. Observation of bulk boundary correspondence breakdown in topolectrical circuits. Preprint at: http://arxiv.org/abs/1907.11562 (2019).

    Not in our library

28. 28.

    Xiao, L. et al. Observation of non-hermitian bulk-boundary correspondence in quantum dynamics. Preprint at: http://arxiv.org/abs/1907.12566 (2019).

    Not in our library

29. 29.

    Kittel, C. Phonons I. Crystal Vibrations. Book section 4 (Wiley, New York, 1976).

    Not in our library

30. 30.

    Huber SD. Topological mechanics. Nat. Phys. 2016;12:621-623.

    Not in our library10.1038/nphys3801

31. 31.

    Coulais C, Kettenis C, van Hecke M. A characteristic lengthscale causes anomalous size effects and boundary programmability in mechanical metamaterials. Nat. Phys. 2018;14:40-44.

    Not in our library10.1038/nphys4269

32. 32.

    Frenzel T, Kadic M, Wegener M. Three-dimensional mechanical metamaterials with a twist. Science. 2017;358:1072-1074.

    Not in our library10.1126/science.aao4640

33. 33.
    Topologically robust sound propagation in an angular-momentum-biased graphene-like resonator lattice · 2015

    No notice
34. 34.

    Mitchell NP, Nash LM, Hexner D, Turner AM, Irvine WTM. Amorphous topological insulators constructed from random point sets. Nat. Phys. 2018;14:380-385.

    Not in our library10.1038/s41567-017-0024-5

35. 35.

    Raney JR, et al. Stable propagation of mechanical signals in soft media using stored elastic energy. Proc. Natl Acad. Sci. USA. 2016;113:9722-9727.

    Not in our library10.1073/pnas.1604838113

36. 36.

    Hwang M, Arrieta AF. Input-independent energy harvesting in bistable lattices from transition waves. Sci. Rep. 2018;8:3630.

    Not in our library10.1038/s41598-018-22003-7

37. 37.

    Gonella S, To AC, Liu WK. Interplay between phononic bandgaps and piezoelectric microstructures for energy harvesting. J. Mech. Phys. Solids. 2009;57:621-633.

    Not in our library10.1016/j.jmps.2008.11.002

38. 38.

    Bertoldi K, Vitelli V, Christensen J, van Hecke M. Flexible mechanical metamaterials. Nat. Rev. Mater. 2017;2:17066.

    Not in our library10.1038/natrevmats.2017.66

39. 39.

    El-Ganainy R, et al. Non-hermitian physics and pt symmetry. Nat. Phys. 2018;14:11-19.

    Not in our library10.1038/nphys4323

40. 40.

    White TJ, Broer DJ. Programmable and adaptive mechanics with liquid crystal polymer networks and elastomers. Nat. Mater. 2015;14:1087-1098.

    Not in our library10.1038/nmat4433

41. 41.

    Kim Y, Yuk H, Zhao R, Chester SA, Zhao X. Printing ferromagnetic domains for untethered fast-transforming soft materials. Nature. 2018;558:274-279.

    Not in our library10.1038/s41586-018-0185-0

42. 42.

    Rogers J, Huang Y, Schmidt OG, Gracias DH. Origami mems and nems. MRS Bull. 2016;41:123-129.

    Not in our library10.1557/mrs.2016.2

43. 43.

    Goldstein S. On diffusion by discontinuous movements, and on the telegraph equation. Q. J. Mech. Appl. Math. 1951;17:129-156.

    Not in our library10.1093/qjmam/4.2.129

44. 44.

    Masoliver J, Weiss G. Finite-velocity diffusion. Eur. J. Phys. 1996;4:190-196.

    Not in our library10.1088/0143-0807/17/4/008

45. 45.

    Watanabe, K. Integral Transform Techniques for Green’s Function. (Springer: Switzerland, 2014).

    Not in our library

46. 46.

    Guckenheimer J, Holmes PJ. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. 1983.

    Not in our library

Cited by papers we hold 2

• Realization of active metamaterials with odd micropolar elasticity · 2021
  Not checked
• Foundations for Soft, Smart Matter by Active Mechanical Metamaterials · 2020
  Not checked

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