Abstract
Relativistic Brownian motion can be inexpensively demonstrated on a graphene chip. The interplay of stochastic and relativistic dynamics, governing the transport of charge carrier in graphene, induces noise-controlled effects such as (i) a stochastic effective mass, detectable as a suppression of the particle mobility with increasing the temperature; (ii) transverse harmonic mixing, whereby electron transport can be controlled by two orthogonal, commensurate ac drives; (iii) a transverse ratchet effect, measurable as a net current orthogonal to an ac drive on an asymmetric substrate, and (iv) chaotic stochastic resonance. Such properties can be of practical applications in the emerging graphene technology.
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References
J. Dunkel, P. Hänggi, S. Hilbert, Nat. Phys. 5, 741 (2009)
J. Dunkel, P. Hänggi, Phys. Rev. 471, 1 (2009)
P.K.F. Rieder, Cosmic Rays at Earth (Elsevier Science, New York, 2001)
K.S. Novoselov, A.K. Geim, S.V. Morozov, D. Jiang, M.I. Katsnelson, I.V. Grigorieva, S.V. Dubonos, A.A. Firsov, Nature 438, 197 (2005)
A.H. Castro Neto, F. Guinea, N.M.R. Peres, K.S. Novoselov, A.K. Geim, Rev. Mod. Phys. 81, 109 (2009)
A.V. Rozhkov, G. Giavaras, Y.P. Bliokh, V. Freilikher, F. Nori, Phys. Rep. 503, 77 (2011)
S.A. Mikhailov, Phys. Rev. B 79, 241309(R) (2009)
Z. Jiang, E.A. Henriksen, L.C. Tung, Y.-J. Wang, M.E. Schwartz, M.Y. Han, P. Kim, H.L. Stormer, Phys. Rev. Lett. 98, 197403 (2007).
R.S. Deacon, K.C. Chuang, R.J. Nicholas, K.S. Novoselov, A.K. Geim, Phys. Rev. B 76, 081406 (2007)
M. Müller, L. Fritz, S. Sachdev, B 78, 115406 (2008)
M. Müller, L. Fritz, S. Sachdev, J. Schmalian, AIP Conf. Proc. 1134, 170 (2009)
A.F. Young, P. Kim, Nat. Phys. 5, 222 (2009)
F. Wang, Y. Zhang, C. Tian, C. Girit, A. Zettl, M. Crommie, Y.R. Shen, Science 320, 206 (2008)
D. Cubero, J. Casado-Pascual, J. Dunkel, P. Talkner, P. Hänggi, Phys. Rev. Lett. 99, 170601 (2007)
M.I. Katsnelson, K.S. Novoselov, A.K. Geim, Nat. Phys. 2, 620 (2006)
P.G. Silvestrov, K.B. Efetov, Phys. Rev. Lett. 98, 016802 (2007)
M.V. Fistul, K.B. Efetov, Phys. Rev. Lett. 98, 256803 (2007)
S.E. Savel’ev, A.S. Alexandrov, Phys. Rev. B 84, 035428 (2011)
S. Savel’ev, F. Marchesoni, F. Nori, Phys. Rev. Lett. 91, 010601 (2003)
S. Savel’ev, F. Marchesoni, F. Nori, Phys. Rev. Lett. 92, 160602 (2004)
F.V. Kusmartsev, A.M. Tsvelick, JETP Lett. 42, 257 (1986)
F. Debbasch, K. Mallick, J.P. Rivet, J. Stat. Phys. 88, 945 (1998)
M. Müller, J. Schmalian, L. Fritz, Phys. Rev. Lett. 103, 025301 (2009)
Z. Sun, C.L. Pint, D.C. Marcano, C. Zhang, J. Yao, G. Ruan, Zh. Yan, Yu Zhu, R.H. Hauge, J.M. Tour, Nature Commun. 2, 559 (2011)
L. Gammaitoni, P. Hänggi, P. Jung, F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998)
F. Marchesoni, Phys. Lett. A 119, 221 (1986)
S. Savel’ev, F. Marchesoni, P. Hänggi, F. Nori, Europhys. Lett. 67, 179 (2004)
S. Savel’ev, F. Marchesoni, P. Hänggi, F. Nori, Europhys. J. B 40, 403 (2004)
P. Hänggi, F. Marchesoni, Rev. Mod. Phys. 81, 387 (2009)
A.K. Geim, K.S. Novoselov, Nat. Mater. 6, 183 (2007)
A.K. Geim, Science 324, 1530 (2009)
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Pototsky, A., Marchesoni, F., Kusmartsev, F.V. et al. Relativistic Brownian motion on a graphene chip. Eur. Phys. J. B 85, 356 (2012). https://doi.org/10.1140/epjb/e2012-30716-7
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DOI: https://doi.org/10.1140/epjb/e2012-30716-7