Strain Engineering of 2D Crystals

By Bennett Goldberg

Department of Physics, Boston University, Boston, MA

Published on

Abstract

Two-dimensional materials are flexible, transparent, compatible with living systems, and can enable new devices and physics based on their unique properties. One unique property is the ability of 2D crystals a single atom thick to undergo massive amounts of strain without failure. Since strain also drastically modifies the band structure leading to large changes in transport and optical properties, strain engineering of 2D crystals has the potential to create new devices, explore transport in pseudo-magnetic fields, and tune tunneling or excitonic effects. Graphene is the most well-studied of 2D crystals, and shows a strain-induced pseudo vector potential that can lead, in certain circumstances, to pseudo-magnetic fields. Recent work shows strain allows one to tune the band gap in transition metal dicalchognides, another class of 2D crystals. In this colloquium, we will explore strain by suspending 2D crystal membranes of graphene and hexagonal boron nitride over microchambers, creating a sealed drum. Tuning the strain through pressure deflects the membrane, changing its properties. Remarkably, the assumption of a fixed circumference is wrong, because we observe the 2D crystal sliding across the supported part of the microchamber. We will discuss friction, strain engineering, and future prospects for 2D crystals.

Bio

Goldberg is a Professor of Physics, Professor of Electrical and Computer Engineering, Professor of Biomedical Engineering, and Professor of Education. He is a former chair of the Physics Department and his active research interests are in the general area of nano-optics and spectroscopy for hard and soft materials systems. With colleagues, he has studied graphene and other 2D crystals, exploring strain and friction. He has worked in near-field imaging, developed subsurface solid immersion microscopy for Si inspection, and imaging through strongly scattering media. His group is working on novel approaches to subcellular imaging, biosensors and single virus imaging.

Goldberg is Director of Boston University's Center for Nanoscience and Nanobiotechnology, an interdisciplinary center that brings together academic and industrial scientists and engineers in the development of nanotechnology with applications in materials and biomedicine. He is director of BU’s nanomedicine program, bringing engineers and physical scientists together with medical researchers and clinicians.

Goldberg is the inaugural Director of STEM Education Initiatives in the Office of the Provost, working with colleges, departments and faculty in course transformation toward increasing the amount of evidence-based and active-learning in STEM instruction, and in developing and implementing training in teaching and learning for STEM PhD’s and postdocs, our nations future faculty.

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Cite this work

Researchers should cite this work as follows:

  • Bennett Goldberg (2014), "Strain Engineering of 2D Crystals," https://nanohub.org/resources/20879.

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Location

Physics, Room 203, Purdue University, West Lafayette, IN

Strain Engineering of 2D Crystals
  • Strain Engineering of 2D Crystals 1. Strain Engineering of 2D Cryst… 0
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  • Strain Engineering of 2D Crystals 2. Strain Engineering of 2D Cryst… 130.4637971304638
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  • Strain Engineering of 2D Crystals 3. Strain Engineering of 2D Cryst… 138.53853853853855
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  • Strain Fields 4. Strain Fields 170.03670337003672
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  • Pseudo-magnetic fields 5. Pseudo-magnetic fields 182.6826826826827
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  • Sliding and fricition 6. Sliding and fricition 244.74474474474476
    00:00/00:00
  • Strain Engineering of 2D Crystals 7. Strain Engineering of 2D Cryst… 291.39139139139138
    00:00/00:00
  • Graphene - Flexible, Stretchy, Strong 8. Graphene - Flexible, Stretchy,… 306.50650650650653
    00:00/00:00
  • Graphene is Amazing 9. Graphene is Amazing 312.61261261261262
    00:00/00:00
  • Graphene is Amazing 10. Graphene is Amazing 322.78945612278949
    00:00/00:00
  • All surface, no bulk 11. All surface, no bulk 372.90623957290626
    00:00/00:00
  • Graphene Strain Applications 12. Graphene Strain Applications 406.53987320653988
    00:00/00:00
  • Transparent flexible electrodes 13. Transparent flexible electrode… 444.9115782449116
    00:00/00:00
  • Touch screens 14. Touch screens 447.34734734734735
    00:00/00:00
  • Why Strain? 15. Why Strain? 456.9235902569236
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  • Graphene Strain Engineering 16. Graphene Strain Engineering 506.33967300633969
    00:00/00:00
  • Graphene Strain Engineering 17. Graphene Strain Engineering 509.87654320987656
    00:00/00:00
  • 2D Crystal Strain Engineering 18. 2D Crystal Strain Engineering 510.97764431097767
    00:00/00:00
  • Strain - modified band gap 19. Strain - modified band gap 545.679012345679
    00:00/00:00
  • Strain - modified thermal conductivity 20. Strain - modified thermal cond… 546.8134801468135
    00:00/00:00
  • Strain - modified exciton confinement 21. Strain - modified exciton conf… 548.08141474808144
    00:00/00:00
  • Strain Engineering of 2D Crystals 22. Strain Engineering of 2D Cryst… 572.67267267267266
    00:00/00:00
  • Pseudo-magnetic fields 23. Pseudo-magnetic fields 586.25291958625292
    00:00/00:00
  • Energy dispersion of Graphene 24. Energy dispersion of Graphene 605.57223890557225
    00:00/00:00
  • Strain shifts the Dirac points 25. Strain shifts the Dirac points 641.80847514180846
    00:00/00:00
  • Pseudomagnetic fields observed 26. Pseudomagnetic fields observed 788.15482148815488
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  • Psedovector potentials 27. Psedovector potentials 909.60960960960961
    00:00/00:00
  • Problem 28. Problem 1043.6436436436436
    00:00/00:00
  • Problem 29. Problem 1062.6626626626628
    00:00/00:00
  • Problem 30. Problem 1068.7687687687687
    00:00/00:00
  • 1% uniaxial strain 31. 1% uniaxial strain 1100.6006006006007
    00:00/00:00
  • What went wrong? 32. What went wrong? 1171.5715715715717
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  • Corrections 33. Corrections 1223.5568902235571
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  • Importance of corrections 34. Importance of corrections 1331.5315315315315
    00:00/00:00
  • Pressure tunable pseudo fields 35. Pressure tunable pseudo fields 1389.8231564898233
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  • Boundary conditions important 36. Boundary conditions important 1511.3446780113447
    00:00/00:00
  • Bpsf from pressurized triangular hole 37. Bpsf from pressurized triangul… 1526.9602936269603
    00:00/00:00
  • Sliding and friction 38. Sliding and friction 1583.983983983984
    00:00/00:00
  • Friction 101 39. Friction 101 1604.0707374040708
    00:00/00:00
  • Friction 801 40. Friction 801 1658.7253920587255
    00:00/00:00
  • Friction 801 41. Friction 801 1781.8151484818152
    00:00/00:00
  • How does a single layer lay on the surface? 42. How does a single layer lay on… 1783.2165498832167
    00:00/00:00
  • Graphene slips when under strain 43. Graphene slips when under stra… 1785.7524190857525
    00:00/00:00
  • Graphene slips when under strain 44. Graphene slips when under stra… 1791.9586252919587
    00:00/00:00
  • Graphene slips when under strain 45. Graphene slips when under stra… 1817.1504838171506
    00:00/00:00
  • Strain distributed outside the hole! 46. Strain distributed outside the… 1919.6529863196531
    00:00/00:00
  • How is strain distributed? 47. How is strain distributed? 2110.443777110444
    00:00/00:00
  • How is strain distributed? 48. How is strain distributed? 2171.0377043710378
    00:00/00:00
  • The early days: Hencky Model 49. The early days: Hencky Model 2178.6453119786452
    00:00/00:00
  • Beyond the Hencky model 50. Beyond the Hencky model 2212.645979312646
    00:00/00:00
  • Beyond the Hencky model 51. Beyond the Hencky model 2256.423089756423
    00:00/00:00
  • Atomistic modeling to understand graphene sliding 52. Atomistic modeling to understa… 2258.4584584584586
    00:00/00:00
  • Atomistic modeling to understand graphene sliding 53. Atomistic modeling to understa… 2289.9566232899565
    00:00/00:00
  • Fitting data - globally 54. Fitting data - globally 2333.7671004337672
    00:00/00:00
  • Detailed study of strain distribution 55. Detailed study of strain distr… 2413.7804471137806
    00:00/00:00
  • Friction results and understanding 56. Friction results and understan… 2437.5375375375374
    00:00/00:00
  • Trilayer graphene 57. Trilayer graphene 2460.8942275608943
    00:00/00:00
  • Trilayer graphene 58. Trilayer graphene 2472.2389055722392
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  • Amonton's Law 59. Amonton's Law 2473.8738738738739
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  • Single and bilayer graphene 60. Single and bilayer graphene 2533.0663997330666
    00:00/00:00
  • Universal dependence vs. radial strain 61. Universal dependence vs. radia… 2553.6202869536205
    00:00/00:00
  • Understanding Graphene Friction 62. Understanding Graphene Frictio… 2608.9089089089089
    00:00/00:00
  • Understanding Graphene Friction 63. Understanding Graphene Frictio… 2634.9015682349018
    00:00/00:00
  • Understanding Graphene Friction 64. Understanding Graphene Frictio… 2636.1695028361696
    00:00/00:00
  • Strain Engineering of 2D Crystals 65. Strain Engineering of 2D Cryst… 2656.9569569569571
    00:00/00:00
  • Strain and friction in 2D Insulators 66. Strain and friction in 2D Insu… 2760.7941274607942
    00:00/00:00
  • Strained Raman Spectra: hBN 67. Strained Raman Spectra: hBN 2788.455121788455
    00:00/00:00
  • Pseudo Vector Potentials in Insulators 68. Pseudo Vector Potentials in In… 2842.475809142476
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  • Real Magnetic Fields 69. Real Magnetic Fields 2919.8531865198534
    00:00/00:00
  • Measurement and control of G-band Magnetoexciton-phonon.. 70. Measurement and control of G-b… 2937.9713046379716
    00:00/00:00
  • Magneto-phonons interactionsm, two ways 71. Magneto-phonons interactionsm,… 2960.0934267600937
    00:00/00:00
  • Tuning the Fermi Energy 72. Tuning the Fermi Energy 3087.1204537871204
    00:00/00:00
  • Magnetophonon Resonance (MPR) conditions 73. Magnetophonon Resonance (MPR) … 3127.0937604270939
    00:00/00:00
  • Strain Engineering of 2D Crystals 74. Strain Engineering of 2D Cryst… 3164.0306973640309
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  • Acknowledgements 75. Acknowledgements 3201.6683350016683
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