Abstract
The introduction of suitable fictitious entities occasionally permits to cast otherwise difficult strongly interacting many-body systems in a single particle form. We can then take the customary physical approach, using concepts and representations which formerly could only be applied to systems with weak interactions, and yet still capture the essential physics. A most notable recent example occurs in the conduction properties of a two dimensional electron system (2DES), when exposed to a strong perpendicular magnetic field B. They are governed by electron-electron interactions, that bring about the fractional quantum Hall effect (FQHE) [1]. Composite fermions, that do not experience the external magnetic field but a drastically reduced effective magnetic field B*, were identified as apposite quasi-particles that simplify our understanding of the FQHE 2, 3. They precess, like electrons, along circular cyclotron orbits, with a diameter determined by B* rather than B [4–10]. The frequency of their cyclotron motion remained hithereto enigmatic, since the effective mass is no longer related to the band mass of the original electrons and is entirely generated from electron-electron interactions. Here, we demonstrate the enhanced absorption of a microwave field that resonates with the frequency of their circular motion. From this cyclotron resonance, we derive a composite fermion effective mass that varies from 0.7 to 1.2 times the electron mass in vacuum as their density is tuned from 0.6 × 1011/cm2 to 1.2 × 1011/cm2.
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References
DasSarma, S., Pinczuk, A. (eds.) Perspectives on quantum Hall effects (Wiley, New York, 1996).
Jain, J.K. The composite fermion: a quantum particle and its quantum fluids. Physics Today, 39–45 (April 2000).
Jain, J.K. Composite fermion approach for the fractional quantum Hall effect. Phys. Rev. Lett. 63, 199–202 (1989).
Halperin, B.I., Lee, P.A., Read, N. Theory of the half-filled Landau level. Phys. Rev. B 47, 7312–7343 (1993).
Heinonen, O. (ed.) Composite Fermions (World Scientific Publishing, 1998).
Du, R.R., Stormer, H.L., Tsui, D.C., Pfeiffer, L.N., West, K.W. Experimental evidence for new particles in the fractional quantum Hall effect. Phys. Rev. Lett. 70, 2944–2947 (1993).
Du, R.R. et al. Fractional quantum Hall effect around v = 3/2: composite fermions with a spin. Phys. Rev. Lett. 75, 3926–3929 (1995).
Willett, R.L., Ruel, R.R., West, K.W., Pfeiffer, L.N. Experimental demonstration of a Fermi surface at one-half filling of the lowest Landau level. Phys. Rev. Lett. 71, 3846–3849 (1993).
Goldman, V.J., Su, B., Jain, J.K. Detection of composite fermions by magnetic focusing. Phys. Rev. Lett. 72, 2065–2068 (1994).
Smet, J.H., Weiss, D., Blick, R.H., Lütjering, G., von Klitzing, K. Magnetic focusing of composite fermions through arrays of cavities. Phys. Rev. Lett. 77, 2272–2275 (1996).
Kohn, W. Cyclotron resonance and de Haas-van Alphen oscillations of an interacting electron gas. Phys. Rev. 123, 1242–1244 (1961).
Gubarev, S.I. et al. Screening of excitonic states by low-density 2D charge carriers in GaAs/AlGaAs quantum wells. JETP Lett. 72, 324–328 (2000).
Allen, S.J., Störmer, H.L., Hwang, J.C.M. Dimensional resonance of the two-dimensional electron gas in selectively doped GaAs/AlGaAs heterostructures. Phys. Rev. B 28, 4875–4877 (1983).
Gerhardts, R.R., Weiss, D., von Klitzing, K. Novel magnetoresistance oscillations in a periodically modulated two-dimensional electron gas. Phys. Rev. Lett. 62, 1173–1176 (1989).
Shilton, J.M. et al. Effect of spatial dispersion on acoustoelectric current in a high-mobility two-dimensional electron gas. Phys. Rev. B 51, 14770–14773 (1995).
Jain, J.K., Kamilla, R.K., Composite Fermions: particles of the lowest Landau level. Composite Fermions, 1–80 (Ed. O. Heinonen, World Scientific Publishing, 1998)
Park, K., Jain, J.K., Phase diagram of the spin polarization of composite fermions and a new effective mass. Phys. Rev. Lett. 80, 4237–4240 (1998).
Du, R.R., Stormer, H.L., Tsui, D.C., Pfeiffer, L.N., West, K.W., Phys. Rev. Lett. 70, 2944–2947 (1993).
Willett, R.L. Composite Fermions—experimental findings. Composite Fermions, 349–431 (Ed. O. Heinonen, World Scientific Publishing, 1998).
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Kukushkin, I.V., Smet, J.H., Von Klitzing, K., Wegscheider, W. (2003). Cyclotron Resonance of Composite Fermions. In: Ossau, W.J., Suris, R. (eds) Optical Properties of 2D Systems with Interacting Electrons. NATO Science Series, vol 119. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0078-9_1
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DOI: https://doi.org/10.1007/978-94-010-0078-9_1
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