The hopping ac conductance, which is realized at the transverse conductance minima in the regime of the integer Hall effect, has been measured using a combination of acoustic and microwave methods. Measurements have been made in the p-GeSi/Ge/GeSi structures with quantum wells in a wide frequency range (30–1200 MHz). The experimental frequency dependences of the real part of ac conductance σ1 have been interpreted on the basis of the model presuming hops between localized electronic states belonging to isolated clusters. At high frequencies, dominating clusters are pairs of close states; upon a decrease in frequency, large clusters that merge into an infinite percolation cluster as the frequency tends to zero become important. In this case, the frequency dependences of the ac conductance can be represented by a universal curve. The scaling parameters and their magnetic-field dependence have been determined.
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The Quantum Hall Effect, Ed. by R. E. Prange and S. M. Girvin (Springer, New York, 1987).
B. I. Shklovskii and A. L. Efros, Electronic Properties of Doped Semiconductors (Springer, Heidelberg, 1984).
Y. M. Galperin, V. L. Gurevich, and D. A. Parshin, in Hopping Transport in Solids, Ed. by B. Shklovskii and M. Pollak (Elsevier, New York, 1991).
A. Wixforth, J. Scriba, M. Wassermeier, J. P. Kotthaus, G. Weimann, and W. Schlapp, Phys. Rev. B 40, 7874 (1989).
I. L. Drichko, A. M. Diakonov, I. Yu. Smirnov, Y. M. Galperin, and A. I. Toropov, Phys. Rev. B 62, 7470 (2000).
I. L. Drichko, A. M. Diakonov, I. Y. Smirnov, G. O. Andrianov, O. A. Mironov, M. Myronov, D. R. Leadley, and T. E. Whall, Phys. Rev. B 71, 045333 (2005).
I. L. Drichko, A. M. Diakonov, V. I. Kozub, I. Yu. Smirnov, Yu. M. Galperin, A. I. Yakimov, and A. I. Nikiforov, Physica E 26, 450 (2005).
L. W. Engel, D. Shahar, Ç. Kurdak, and D. C. Tsui, Phys. Rev. Lett. 71, 2638 (1993).
A. Endo, T. Kajioka, and Y. Iye, J. Phys. Soc. Jpn. 82, 054710 (2013).
I. L. Drichko, A. M. Diakonov, V. A. Malysh, I. Yu. Smirnov, Y. M. Galperin, N. D. Ilyinskaya, A. A. Usikova, M. Kummer, and H. von Känel, J. Appl. Phys. 116, 154309 (2014).
C. Rosenblad, H. R. Deller, A. Dommann, T. Meyer, P. Schroeter, and H. von Känel, J. Vac. Sci. Technol. A 16, 2785 (1998).
V. D. Kagan, Semiconductors 31, 407 (1997).
B. I. Shklovskii and A. L. Efros, Sov. Phys. JETP 54, 218 (1981).
J. C. Dyre and T. B. Schrøder, Rev. Mod. Phys. 72, 873 (2000).
I. Zvyagin, in Charge Transport in Disordered Solids with Applications in Electronics (Wiley, 2006).
D. Stauffer and A. Aharony, Introduction to Percolation Theory (Taylor and Francis, London, 1992).
D. G. Polyakov and B. I. Shklovskii, Phys. Rev. Lett. 70, 3796 (1993); Phys. Rev. B 48, 1167 (1993); Phys. Rev. Lett. 74, 150 (1995); Phys. Rev. Lett. 73, 1150 (1999).
H. von Känel, M. Kummer, G. Isella, E. Müller, and T. Hackbarth, Appl. Phys. Lett. 80, 2922 (2002).
Original Russian Text © I.L. Drichko, A.A. Dmitriev, V.A. Malysh, I.Yu. Smirnov, Yu.M. Galperin, H. von Känel, M. Kummer, G. Isella, D. Chrastina, 2018, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2018, Vol. 153, No. 2, pp. 294–303.
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Drichko, I.L., Dmitriev, A.A., Malysh, V.A. et al. Universal Frequency Dependence of the Hopping AC Conductance in p-Ge/GeSi Structures in the Integer Quantum Hall Effect Regime. J. Exp. Theor. Phys. 126, 246–254 (2018). https://doi.org/10.1134/S1063776118010144