Abstract
This is a brief review of recent activities in the field of current noise intended for newcomers. We first briefly discuss main properties of shot noise in nanostructures, and then turn to recent developments, concentrating on issues related to experimental progress: non-symmetrized cumulants and quantum noise; counting statistics; super-Poissonian noise; current noise and interferometry
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Kogan, Sh.: Electronic Noise and Fluctuations in Solids. Cambridge University Press, Cambridge (1996)
Blanter, Ya.M., Büttiker, M.: Phys. Rep. 336, 1 (2000)
Quantum Noise in Mesoscopic Physics: In: Nazarov, Yu.V. (ed.) NATO Science Series II, vol. 97. Dordrecht Boston London, Kluwer (2003)
Khlus, V.A.: Zh. Éksp. Teor. Fiz. 93, 2179 (1987) [Sov. Phys. JETP 66, 1243 (1987)]
Lesovik, G.B.: Pis’ma Zh. Éksp. Teor. Fiz. 49, 513 (1989) [Sov. Phys. JETP 49, 592 (1989)]
Büttiker, M.: Phys. Rev. Lett. 65, 2901 (1990)
Landauer, R., Martin, T.: Physica B 167, 175 (1991) [ibid 182, 288(E) (1992)]
Oberholzer, S., Sukhorukov, E.V., Strunk, C., Schönenberger, C., Heinzel, T., Holland, M.: Phys. Rev. Lett. 86, 2114 (2001)
Oberholzer, S., Sukhorukov, E.V., Schönenberger, C.: Nature 415, 765 (2002)
Jehl, X., Sanquer, M., Calemczuk, R., Mailly, D.: Nature 405, 50 (2000)
Kozhevnikov, A.A., Schoelkopf, R.J., Prober, D.E.: Phys. Rev. Lett. 84, 3398 (2000)
Cron, R., Goffman, M.F., Esteve, D., Urbina, C.: Phys. Rev. Lett. 86, 4104 (2001)
Lefloch, F., Hoffmann, C., Sanquer, M., Quirion, D.: Phys. Rev. Lett. 90, 067002 (2003)
Hoffmann, C., Lefloch, F., Sanquer, M., Pannetier, B.: Phys. Rev. B 70, 180503 (2004)
Camino, F.E., Kuznetsov, V.V., Mendez, E.E., Schäpers, Th., Guzenko, V.A., Hardtdegen, H.: Phys. Rev. B 71, 020506 (2005)
Nauen, A., Hapke-Wurst, I., Hohls, F., Zeitler, U., Haug, R.J., Pierz, K.: Phys. Rev. B 66, 161303 (2002)
Oberholzer, S., Sukhorukov, E.V., Strunk, C., Schönenberger, C.: Phys. Rev. B 66, 233304 (2002)
Kuznetsov, V.V., Mendez, E.E., Zuo, X., Snider, G.L., Croke, E.T.: Phys. Rev. Lett. 85, 397 (2000)
Camino, F.E., Kuznetsov, V.V., Mendez, E.E., Gershenson, M.E., Reuter, D., Schafmeister, P., Wieck, A.D.: Phys. Rev. B 68, 073313 (2003)
Reydellet, L.-H., Roche, P., Glattli, D.C., Etienne, B., Jin, Y.: Phys. Rev. Lett. 90, 176803 (2003)
Nauen, A., Hohls, F., Maire, N., Pierz, K., Haug, R.J.: Phys. Rev. B 70, 033305 (2004)
Onac, E., Balestro, F., Trauzettel, B., Lodewijk, C.F.J., Kouwenhoven, L.P.: Phys. Rev. Lett. 96, 026803 (2006)
Aguado, R., Kouwenhoven, L.P.: Phys. Rev. Lett. 84, 1986 (2000)
Schoelkopf, R.J., Clerk, A.A., Girvin, S.M., Lehnert, K.W., Devoret, M.H.: In Quantum Noise in Mesoscopic Physics: In: Nazarov, Yu.V. (ed.) NATO Science Series II, vol. 97. Dordrecht Boston London, Kluwer (2003), available also as cond-mat/0210247
Deblock, R., Onac, E., Gurevich, L., Kouwenhoven, L.P.: Science 301, 203 (2003)
Onac, E., Deblock, R., Kouwenhoven, L.P.: unpublished; also, Onac, E.: High-frequency noise detection in mesoscopic devices. PhD Thesis, Delft University of Technology, Delft (2005)
Choi, M.-S., Plastina, F., Fazio, R.: Phys. Rev. B 67, 045105 (2003)
Onac, E., Balestro, F., Hartmann, U., Nazarov, Yu.V., Kouwenhoven, L.P.: unpublished; also, Onac, E.: High-frequency noise detection in mesoscopic devices. PhD Thesis, Delft University of Technology, Delft (2005)
Levitov, L.S., Lesovik, G.B.: Pis’ma Zh. Éksp. Teor. Fiz. 58, 225 (1993) [JETP Lett. 58, 230 (1993)]
Lee, H., Levitov, L.S., Yakovets, A.Yu.: Phys. Rev. B 51, 4079 (1995)
Levitov, L.S., Lee, H., Lesovik, G.B.: J. Math. Phys. 37, 4845 (1996)
de Jong, M.J.M.: Phys. Rev. B 54, 8144 (1996)
Nazarov, Yu.V.: Ann. Phys. (Leipzig) 8, 507 (1999)
Blanter, Ya.M., Schomerus, H., Beenakker, C.W.J.: Physica E 11, 1 (2001)
Nagaev, K.E.: Phys. Rev. B 66, 075334 (2002)
Nagaev, K.E., Samuelsson, P., Pilgram, S.: Phys. Rev. B 66, 195318 (2002)
Belzig, W., Nazarov, Yu.V.: Phys. Rev. Lett. 87, 067006 (2001)
Nazarov, Yu.V., Bagrets, D.A.: Phys. Rev. Lett. 88, 196801 (2002)
Bagrets, D.A., Nazarov, Yu.V.: Phys. Rev. Lett. 67, 085316 (2003)
Pilgram, S., Jordan, A.N., Sukhorukov, E.V., Büttiker, M.: Phys. Rev. Lett. 90, 206801 (2003)
Gutman, D.B., Gefen, Y.: Phys. Rev. B 68, 035302 (2003)
Gutman, D.B., Mirlin, A.D., Gefen, Y.: Phys. Rev. B 71, 085118 (2005)
Pala, M.G., Iannaccone, G.: Phys. Rev. Lett. 93, 256803 (2004)
Roche, P.-E., Douçot, B.: Eur. Phys. J. B 27, 393 (2002)
Roche, P.-E., Derrida, B., Douçot, B.: Eur. Phys. J. B 43, 529 (2005)
Muzykantskii, B.A., Khmelnitskii, D.E.: Phys. Rev. B 50, 3982 (1994)
Samuelsson, P.: Phys. Rev. B 67, 054508 (2003)
Belzig, W., Nazarov, Yu.V.: Phys. Rev. Lett. 87, 197006 (2001)
Belzig, W., Samuelsson, P.: Europhys. Lett. 64, 253 (2003)
Cuevas, J.C., Belzig, W.: Phys. Rev. Lett. 91, 187001 (2003)
Johansson, G., Samuelsson, P., Ingerman, Ã….: Phys. Rev. Lett. 91, 187002 (2003)
Cuevas, J.C., Belzig, W.: Phys. Rev. B 70, 214512 (2004)
Whitney, R.S., Jacquod, Ph.: Phys. Rev. Lett. 94, 116801 (2005)
Sukhorukov, E.V., Bulashenko, O.M.: Phys. Rev. Lett. 94, 116803 (2005)
Kießlich, G., Samuelsson, P., Wacker, A., Schöll, E.: Phy. Rev. B 73, 033312 (2006)
Börlin, J., Belzig, W., Bruder, C.: Phys. Rev. Lett. 88, 197001 (2002)
Bagrets, D.A., Nazarov, V.Yu.: Phys. Rev. Lett. 94, 056801 (2005)
Pilgram, S.: Phys. Rev. B 69, 115315 (2004)
Bagrets, D.A.: Phys. Rev. Lett. 93, 236803 (2004)
Galaktionov, A.V., Golubev, D.S., Zaikin, A.D.: Phys. Rev. Lett. 68, 235333 (2003)
Nagaev, K.E., Pilgram, S., Büttiker, M.: Phys. Rev. Lett. 92, 176804 (2004)
Pilgram, S., Nagaev, K.E., Büttiker, M.: Phys. Rev. B 70, 045304 (2004)
Ivanov, D.A., Levitov, L.S.: Pis’ma Zh. Éksp. Teor. Fiz. 58, 450 (1993) [JETP Lett. 58, 461 (1993)]
Ivanov, D.A., Lee, H.W., Levitov, L.S.: Phys. Rev. B 56, 6839 (1997)
Reulet, B., Senzier, J., Prober, D.E.: Phys. Rev. Lett. 91, 196601 (2003)
Beenakker, C.W.J., Kindermann, M., Nazarov, Yu.V.: Phys. Rev. Lett. 90, 176802 (2003)
Kindermann, M., Nazarov, Yu.V., Beenakker, C.W.J.: Phys. Rev. Lett. 90, 246805 (2003)
Kindermann, M., Nazarov, Yu.V., Beenakker, C.W.J.: Phys. Rev. B 69, 035336 (2004)
Levitov, L.S., Reznikov, M.: Phys. Rev. B 70, 115305 (2004)
Bomze, Yu., Gershon, G., Shovkun, D., Levitov, L.S., Reznikov, M.: Phys. Rev. Lett. 95, 176601 (2005)
Lu, W., Ji, Z., Pfeiffer, L., West, K.W., Rimberg, A.J.: Nature 423, 422 (2003)
Fujisawa, T., Hayashi, T., Hirayama, Y., Cheong, H.D., Jeong, Y.H.: Appl. Phys. Lett. 84, 2343 (2004)
Bylander, J., Duty, T., Delsing, P.: Nature 434, 361 (2005)
Gustavsson, S., Leturcq, R., Simovi?, B., Schleser, R., Ihn, T., Studerus, P., Ensslin, K., Driscoll, D.C., Gossard, A.C.: Phys. Rev. Lett. 96, 076605 (2006)
Fujisawa, T., Hayashi, T., Tomita, R., Hirayama, Y.: Science 312, 1634 (2006)
Safonov, S.S., Savchenko, A.K., Bagrets, D.A., Jouravlev, O.N., Nazarov, Yu.V., Linfield, E.H., Ritchie, D.A.: Phys. Rev. Lett. 91, 136801 (2003)
Bu?ka, B.R.: Phys. Rev. B 62, 1186 (2000)
Cottet, A., Belzig, W., Bruder, C.: Phys. Rev. Lett. 92, 206801 (2004)
Braun, M., König, J., Martinek, J.: unpublished
Cottet, A., Belzig, W.: Europhys. Lett. 66, 405 (2004)
Kießlich, G., Wacker, A., Schöll, E.: Phys. Rev. B 68, 125320 (2003)
Cottet, A., Belzig, W., Bruder, C.: Phys. Rev. B 70, 115315 (2004)
Thielmann, A., Hettler, M.H., König, J., Schön, G.: Phys. Rev. B 71, 045341 (2005)
Belzig. W.: Phys. Rev. B 71, 161301 (2005)
Djuric, I., Dong, B., Cui, H.L.: Appl. Phys. Lett. 87, 032105 (2005)
Kim, J.U., Kinaret, J.M., Choi, M.S.: J. Phys. Condensed Matter 17, 3815 (2005)
Sukhorukov, E.V., Burkard, G., Loss, D.: Phys. Rev. B 63, 125315 (2001)
Iannaccone, G., Lombardi, G., Macucci, M., Pellegrini, B.: Phys. Rev. Lett. 80, 1054 (1998)
Kuznetsov, V.V., Mendez, E.E., Bruno, J.D., Pham, J.T.: Phys. Rev. B 58, 10159 (1998)
Nauen, A., Hohls, F., Konemann, J., Haug, R.J.: Phys. Rev. B 69, 113316 (2004)
Blanter, Ya.M., Büttiker, M.: Phys. Rev. B 59, 10217 (1999)
Tretiakov, O.A., Gramespacher, T., Matveev, K.A.: Phys. Rev. B 67, 073303 (2003)
Tretiakov, O.A., Matveev, K.A.: Phys. Rev. B 71, 165326 (2005)
Jordan, A.N., Sukhorukov, E.V.: Phys. Rev. Lett. 93, 260604 (2004); ibid 94:059901(E) (2005)
Song, W., Mendez, E.E., Kuznetsov, V., Nielsen, B.: Appl. Phys. Lett. 82, 1568 (2003)
Shytov, A.V., Levitov, L.S., Beenakker, C.W.J.: Phys. Rev. Lett. 88, 228303 (2002)
Kindermann, M., Beenakker, C.W.J.: Phys. Rev. B 66, 224106 (2002)
Tajic, A., Kindermann, M., Beenakker, C.W.J.: Phys. Rev. B 66, 241301 (2002)
Novotný, T., Donarini, A., Flindt, C., Jauho, A.-P.: Phys. Rev. Lett. 92, 248302 (2004)
Isacsson, A., Nord, T.: Europhys. Lett. 66, 708 (2004)
Pistolesi, F.: Phys. Rev. B 69, 245409 (2004)
Flindt, C., Novotný, T., Jauho, A.-P.: Phys. Rev. B 70, 205334 (2004)
Zhu, J.X., Balatsky, A.V.: Phys. Rev. B 67, 165326 (2003)
Armour, A.D.: Phys. Rev. B 70, 165315 (2004)
Chtchelkachtchev, N.M., Belzig, W., Bruder, C.: Phys. Rev. B 70, 193305 (2004)
Koch, J., Raikh, M.E., von Oppen, F.: Phys. Rev. Lett. 95, 056801 (2005)
Yu, H., Liang, J.Q.: Phys. Rev. B 72, 075371 (2005)
Rodriguez, D.A., Armour, A.D.: Phys. Rev. B 72, 085324 (2005)
Blanter, Ya.M., Usmani, O., Nazarov, Yu.V.: Phys. Rev. Lett. 93, 136802 (2004); ibid 94:049904(E) (2005)
Usmani, O., Blanter, Ya.M., Nazarov, Yu.V.: Phys. Rev. B 75, 195312 (2007)
Ji, Y., Chung, Y., Sprinzak, D., Heiblum, M., Mahalu, D., Shtrikman, H.: Nature 422, 415 (2003)
Seelig, G., Büttiker, M.: Phys. Rev. B 64, 245313 (2001)
Seelig, G., Pilgram, S., Jordan, A.N., Büttiker, M.: Phys. Rev. B 68, 161310 (2003)
Marquardt, F., Bruder, C.: Phys. Rev. Lett. 92, 056805 (2004)
Marquardt, F., Bruder, C.: Phys. Rev. B 70, 125305 (2004)
Förster, H., Pilgram, S., Büttiker, M.: Phys. Rev. B 72, 075301 (2005)
Samuelsson, P., Sukhorukov, E.V., Büttiker, M.: Phys. Rev. Lett. 92, 026805 (2004)
Chung, V.S.-W., Samuelsson, P., Büttiker, M.: Phys. Rev. B 72, 125320 (2005)
Reulet, B., Kozhevnikov, A.A., Prober, D.E., Belzig, W., Nazarov, Yu.V.: Phys. Rev. Lett. 90, 066601 (2003)
Bezuglyi, E.V., Bratus’, E.N., Shumeiko, V.S., Vinokur, V.: Phys. Rev. B 70, 064507 (2004)
Acknowledgments
The author very much appreciates collaboration with his friends and colleagues on various issues related to current noise, in chronological order: Stijn van Langen, Eugene Sukhorukov, Henning Schomerus, Carlo Beenakker, Gabriele Campagnano, Oleg Jouravlev, Yuli Nazarov, Omar Usmani, Thomas Ludwig, Alexander Mirlin, and Yuval Gefen. He is especially grateful to Markus Büttiker, who introduced him to the field of shot noise.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Blanter, Y.M. (2010). Recent Advances in Studies of Current Noise. In: Vojta, M., Röthig, C., Schön, G. (eds) CFN Lectures on Functional Nanostructures - Volume 2. Lecture Notes in Physics, vol 820. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14376-2_3
Download citation
DOI: https://doi.org/10.1007/978-3-642-14376-2_3
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-14375-5
Online ISBN: 978-3-642-14376-2
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)