Skip to main content

A 5E-Based Learning Workshop on Various Aspects of the Hall Effect

  • Chapter
  • First Online:
Concepts, Strategies and Models to Enhance Physics Teaching and Learning

Abstract

Learning activities in constructivist environments are characterized by active engagement, inquiry, problem solving, and collaboration with peers. The 5E learning cycle is a student-centered instructional model for constructivism, where the students perform five phases of instruction: Engagement, Exploration, Explanation, Elaboration, Evaluation. The purpose of this contribution is to present a 5E-based learning path of advanced physics aimed at strengthening Physics/Engineering student understanding about the quantum Hall effect, a phenomenon observed at low temperatures in a two-dimensional electron gas subject to a strong perpendicular magnetic field. The quantum Hall effect, a rare example of microscopic effects observable on a macroscopic scale, allows us to establish very precise values of microscopic quantities, such as the electron charge and the Planck constant. In the present learning path, we stimulate a discussion about the integer and fractional quantum Hall effects, aimed at introducing a unified picture based upon composite fermions, interacting quasiparticles that may be viewed as fermions carrying attached a fictitious magnetic flux. Finally, we discuss the quantum effect in graphene, the ‘miracle material’ for its unique and exceptional properties.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 79.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. von Klitzing, K.: The quantized Hall effect. Rev. Mod. Phys. 58, 519-531 (1986). https://doi.org/10.1103/RevModPhys.58.519  

    Article  ADS  MathSciNet  MATH  Google Scholar 

  2. ​Stormer, H.L.: Nobel lecture: the fractional quantum Hall effect. Rev. Mod. Phys. 71, 875–889 (1999). https://doi.org/10.1103/RevModPhys.71.875; Tsui, D.C.: Nobel lecture: interplay of disorder and interaction in two-dimensional electron gas in intense magnetic fields. Rev. Mod. Phys. 71, 891–895 (1999). https://doi.org/10.1103/RevModPhys.71.891

    Article  ADS  MathSciNet  Google Scholar 

  3. Johnson, B.L., Kirczenow, G.: Composite fermions in the quantum Hall effect. Rep. Prog. Phys. 60(9), 889–939 (1997). https://doi.org/10.1088/0034-4885/60/9/002

    Article  ADS  Google Scholar 

  4. Novoselov, K.S.: Nobel lecture: graphene: materials in the flatland. Rev. Mod. Phys. 83, 837–849 (2011). https://doi.org/10.1103/RevModPhys.83.837

    Article  ADS  Google Scholar 

  5. Persano Adorno, D., Bellomonte, L., Pizzolato, N.: Electronic properties of graphene: a learning path for undergraduate students, chap. 18. In: Greczyło, T., Dębowska, E. (eds.) Key Competences in Physics Teaching and Learning. Springer Proceedings in Physics, vol. 190, pp. 215–227 (2017). https://doi.org/10.1007/978-3-319-44887-9

    Google Scholar 

  6. Persano Adorno, D., Bellomonte, L., Pizzolato, N.: The amazing graphene: an educational bridge connecting different physics concepts. Eur. J. Phys. 39(1), 013001 (2018). https://doi.org/10.1088/1361-6404/aa91a3

    Article  MATH  Google Scholar 

  7. Persano Adorno, D., Pizzolato, N., Fazio, C.: Elucidating the electron transport in semiconductors via Monte Carlo simulations: an inquiry-driven learning path for engineering undergraduates. Eur. J. Phys. 36(5), 055017 (2015). https://doi.org/10.1088/0143-0807/36/5/055017

    Article  Google Scholar 

  8. Kroll, L.R., Laboskey, V.K.: Practicing what we preach: constructivism in a teacher education program. Action in Teacher Education 18(2), 63–72 (1996). https://doi.org/10.1080/01626620.1996.10462834

    Article  Google Scholar 

  9. Bybee, R.: Achieving Scientific Literacy: From Purposes to Practices. Heinemann, Portsmouth NH (1997)

    Google Scholar 

  10. Kittel, C.: Introduction to Solid State Physics, 8th edn. Wiley, New York (2005)

    MATH  Google Scholar 

  11. Longo, M.: Effetto Hall su graphene. Tesi di laurea in Fisica, Università degli Studi della Calabria (2011)

    Google Scholar 

  12. Laughlin, R.B.: Anomalous quantum Hall effect: an incompressible quantum fluid with fractionally charged excitations. Phys. Rev. Lett. 50(18), 1395–1398 (1983). https://doi.org/10.1103/PhysRevLett.50.1395

    Article  ADS  Google Scholar 

  13. Novoselov, K.S., Geim, A.K., Morozov, S.V., Jiang, D., Katsnelson, M.I., Grigorieva, I.V., Dubonos, S.V., Firsov, A.A.: Two-dimensional gas of massless Dirac fermions in graphene. Nature 438, 197–200 (2005). https://doi.org/10.1038/nature04233

    Article  ADS  Google Scholar 

  14. Novoselov, K.S., Jiang, Z., Zhang, Y., Morozov, S.V., Stormer, H.L., Zeitler, U., Maan, J.C., Boebinger, G.S., Kim, P., Geim, A.K.: Room-temperature quantum Hall effect in graphene. Science 315(5817), 1379 (2007). https://doi.org/10.1126/science.1137201

    Article  ADS  Google Scholar 

  15. Persano Adorno, D., Pizzolato, N., Fazio, C.: Long term stability of learning outcomes in undergraduates after an open-inquiry instruction on thermal science. Phys. Rev. Phys. Educ. Res. 14, 010108 (11 pp.) (2018). https://doi.org/10.1103/physrevphyseducres.14.010108

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dominique Persano Adorno .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Persano Adorno, D., Bellomonte, L., Pizzolato, N. (2019). A 5E-Based Learning Workshop on Various Aspects of the Hall Effect. In: McLoughlin, E., van Kampen, P. (eds) Concepts, Strategies and Models to Enhance Physics Teaching and Learning. Springer, Cham. https://doi.org/10.1007/978-3-030-18137-6_6

Download citation

Publish with us

Policies and ethics