Abstract
It has been proposed that the microwave-induced “zero-resistance” phenomenon, observed in a GaAs two-dimensional electron system at low temperatures in moderate magnetic fields, results from a state with multiple domains, in which a large local electric field E(r) is oriented in different directions. We explore here the questions of what may determine the domain arrangement in a given sample, what do the domains look like in representative cases, and what may be the consequences of domain-wall localization on the macroscopic dc conductance. We consider both effects of sample boundaries and effects of disorder, in a simple model, which has a constant Hall conductivity, and is characterized by a Lyapunov functional.
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References
J. P. Gollub and J. S. Langer, Rev. Mod. Phys. 71:S396 (1999).
M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65:851 (1993).
J. S. Langer, Rev. Mod. Phys. 52:1 (1980).
R. G. Mani, J. H. Smet, K. von Klitzing, V. Narayanamurti, W. B. Johnson and V. Umansky, Nature 420:646 (2002); M. A. Zudov, R. R. Du, L. N. Pfeiffer and K. W. West, Phys. Rev. Lett. 90:046807 (2003); C. L. Yang, M. A. Zudov, T. A. Knuuttila, R. R. Du, L. N. Pfeiffer and K. W. West, Phys. Rev. Lett. 91:096803 (2003); R. L. Willett, L. N. Pfeiffer and K. W. West, Phys. Rev. Lett. 93:026804 (2004).
V. I. Ryzhii, Fiz. Tverd. Tela 11:2577 (1969) [Sov. Phys. Solid State 11:2078 (1970)]; A. Durst, S. Sachdev, N. Read and S. M. Girvin, Phys. Rev. Lett. 91:086803 (2003); P. W. Anderson and W. F. Brinkman, cond-mat/0302129; J. Shi and X. C. Xie, Phys. Rev. Lett. 91:086801.
I. A. Dmitriev, A. D. Mirlin and D. G. Polyakov, Phys. Rev. Lett. 91:226802 (2003); I. A. Dmitriev, M. G. Vavilov, I. L. Aleiner, A. D. Mirlin and D. G. Polyakov, Phys. Rev. B 71:115316 (2005).
A. V. Andreev, I. L. Aleiner and A. J. Millis, Phys. Rev. Lett. 91:056803 (2003); M. G. Vavilov and I. L. Aleiner, Phys. Rev. B 69:035303 (2004).
A. Auerbach, I. Finkler, B. I. Halperin and A. Yacoby, Phys. Rev. Lett. 94:196801 (2005).
Effects of a periodic potential with wavelength shorter than the cyclotron radius have been discussed by J. Dietel, L. I. Glazman, F. W. J. Hekking and F. von Oppen, Phys. Rev. B 71:045329 (2005).
S. Ilani, J. Martin, E. Teitelbaum, J. H. Smet, D. Mahalu, V. Umansky and A. Yacoby, Nature 427:328 (2004); J. Martin, S. Ilani, B. Verdene, J. H. Smet, V. Umansky, D. Mahalu, D. Schuh, G. Abstreiter and A. Yacoby, Science 305:980 (2004).
J. Alicea, L. Balents, M. P. A. Fisher, A. Paramekanti and L. Radzihovsky, Phys. Rev. B 71:235322 (2005).
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Finkler, I., Halperin, B.I., Auerbach, A. et al. Domain Patterns in the Microwave-Induced Zero-Resistance State. J Stat Phys 125, 1093–1107 (2006). https://doi.org/10.1007/s10955-006-9037-7
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DOI: https://doi.org/10.1007/s10955-006-9037-7