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.
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References
von Klitzing, K.: The quantized Hall effect. Rev. Mod. Phys. 58, 519-531 (1986). https://doi.org/10.1103/RevModPhys.58.519
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
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
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
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
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
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
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
Bybee, R.: Achieving Scientific Literacy: From Purposes to Practices. Heinemann, Portsmouth NH (1997)
Kittel, C.: Introduction to Solid State Physics, 8th edn. Wiley, New York (2005)
Longo, M.: Effetto Hall su graphene. Tesi di laurea in Fisica, Università degli Studi della Calabria (2011)
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
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
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
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
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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
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DOI: https://doi.org/10.1007/978-3-030-18137-6_6
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