Measurement of finite-frequency current statistics in a single-electron transistor

Niels Ubbelohde; Christian Fricke; Christian Flindt; Frank Hohls; Rolf J. Haug

doi:10.1038/ncomms1620

journal article Open Access Jan 03, 2012

Measurement of finite-frequency current statistics in a single-electron transistor

Niels Ubbelohde Christian Fricke Christian Flindt Frank Hohls Rolf J. Haug

Nature Communications Vol. 3 No. 1 · Springer Science and Business Media LLC

View at Publisher Save 10.1038/ncomms1620

Topics

No keywords indexed for this article. Browse by subject →

References

48

[1]

Shot noise in mesoscopic conductors

Ya.M. Blanter, M. Büttiker

Physics Reports 2000 10.1016/s0370-1573(99)00123-4

[2]

Nazarov, Yu.V. (ed.) Quantum Noise in Mesoscopic Physics (Kluwer, Dordrecht, 2003). 10.1007/978-94-010-0089-5

[3]

Levitov, L. S. & Lesovik, G. B. Charge-distribution in quantum shot-noise. JETP Lett. 58, 230 (1993).

[4]

Reulet, B., Senzier, J. & Prober, D. E. Environmental effects in the third moment of voltage fluctuations in a tunnel junction. Phys. Rev. Lett. 91, 196601 (2003). 10.1103/physrevlett.91.196601

[5]

Bylander, J., Duty, T. & Delsing, P. Current measurement by real-time counting of single electrons. Nature 434, 361 (2005). 10.1038/nature03375

[6]

Bomze, Y., Gershon, G., Shovkun, D., Levitov, L. S. & Reznikov, M. Measurement of counting statistics of electron transport in a tunnel junction. Phys. Rev. Lett. 95, 176601 (2005). 10.1103/physrevlett.95.176601

[7]

Gustavsson, S. et al. Counting statistics of single-electron transport in a quantum dot. Phys. Rev. Lett. 96, 076605 (2006). 10.1103/physrevlett.96.076605

[8]

Fujisawa, T., Hayashi, T., Tomita, R. & Hirayama, Y. Bidirectional counting of single electrons. Science 312, 1634 (2006). 10.1126/science.1126788

[9]

Sukhorukov, E. V. et al. Conditional statistics of electron transport in interacting nanoscale conductors. Nature Phys. 3, 243 (2007). 10.1038/nphys564

[10]

Fricke, C., Hohls, F., Wegscheider, W. & Haug, R. J. Bimodal counting statistics in single-electron tunneling through a quantum dot. Phys. Rev. B 76, 155307 (2007). 10.1103/physrevb.76.155307

[11]

Timofeev, A. V., Meschke, M., Peltonen, J. T., Heikkilä, T. T. & Pekola, J. P. Wideband detection of the third moment of shot noise by a hysteretic josephson junction. Phys. Rev. Lett. 98, 207001 (2007). 10.1103/physrevlett.98.207001

[12]

Gershon, G., Bomze, Y., Sukhorukov, E. V. & Reznikov, M. Detection of non-gaussian fluctuations in a quantum point contact. Phys. Rev. Lett. 101, 016803 (2008). 10.1103/physrevlett.101.016803

[13]

Electron counting in quantum dots

S. Gustavsson, R. Leturcq, M. Studer et al.

Surface Science Reports 2009 10.1016/j.surfrep.2009.02.001

[14]

Flindt, C. et al. Universal oscillations in counting statistics. Proc. Natl Acad. Sci. USA 106, 10119 (2009). 10.1073/pnas.0901002106

[15]

Zhang, X. C. et al. Tunable electron counting statistics in a quantum dot at thermal equilibrium. Phys. Rev. B 80, 035321 (2009). 10.1103/physrevb.80.035321

[16]

Gabelli, J. & Reulet, B. Full counting statistics of avalanche transport: An experiment. Phys. Rev. B 80, 161203(R) (2009). 10.1103/physrevb.80.161203

[17]

Gabelli, J. & Reulet, B. High frequency dynamics and the third cumulant of quantum noise. J. Stat. Mech. P01049 (2009). 10.1088/1742-5468/2009/01/p01049

[18]

Xue, W. W. et al. Measurement of quantum noise in a single-electron transistor near the quantum limit. Nature Phys. 5, 660 (2009). 10.1038/nphys1339

[19]

Mahé, A. et al. Current correlations of an on-demand single-electron emitter. Phys. Rev. B. 82, 201309(R) (2010). 10.1103/physrevb.82.201309

[20]

Tobiska, J. & Nazarov, Yu.V. Josephson junctions as threshold detectors for full counting statistics. Phys. Rev. Lett. 93, 106801 (2004). 10.1103/physrevlett.93.106801

[21]

Ankerhold, J. & Grabert, H. How to detect the fourth-order cumulant of electrical noise. Phys. Rev. Lett. 95, 186601 (2005). 10.1103/physrevlett.95.186601

[22]

Zazunov, A., Creux, M., Paladino, E., Creépieux, A. & Martin, T. Detection of finite-frequency current moments with a dissipative resonant circuit. Phys. Rev. Lett. 99, 066601 (2007). 10.1103/physrevlett.99.066601

[23]

Klich, I. & Levitov, L. S. Quantum noise as an entanglement meter. Phys. Rev. Lett. 102, 100502 (2009). 10.1103/physrevlett.102.100502

[24]

Song, H. F., Flindt, C., Rachel, S., Klich, I. & Le Hur, K. Entanglement entropy from charge statistics: exact relations for noninteracting many-body systems. Phys. Rev. B 83, 161408(R) (2011). 10.1103/physrevb.83.161408

[25]

Förster, H. & Büttiker, M. Fluctuation relations without microreversibility in nonlinear transport. Phys. Rev. Lett. 101, 136805 (2008). 10.1103/physrevlett.101.136805

[26]

Sánchez, R., López, R., Sánchez, D. & Büttiker, M. Mesoscopic Coulomb drag, broken detailed balance, and fluctuation relations. Phys. Rev. Lett. 104, 076801 (2010). 10.1103/physrevlett.104.076801

[27]

Nakamura, S. et al. Nonequilibrium fluctuation relations in a quantum coherent conductor. Phys. Rev. Lett. 104, 080602 (2010). 10.1103/physrevlett.104.080602

[28]

Galaktionov, A. V., Golubev, D. S. & Zaikin, A. D. Statistics of current fluctuations in mesoscopic coherent conductors at nonzero frequencies. Phys. Rev. B 68, 235333 (2003). 10.1103/physrevb.68.235333

[29]

Nagaev, K. E., Pilgram, S. & Büttiker, M. Frequency scales for current statistics of mesoscopic conductors. Phys. Rev. Lett. 92, 176804 (2004). 10.1103/physrevlett.92.176804

[30]

Pilgram, S., Nagaev, K. E. & Büttiker, M. Frequency-dependent third cumulant of current in diffusive conductors. Phys. Rev. B 70, 045304 (2004). 10.1103/physrevb.70.045304

[31]

Salo, J., Hekking, F. W. J. & Pekola, J. P. Frequency-dependent current correlation functions from scattering theory. Phys. Rev. B 74, 125427 (2006). 10.1103/physrevb.74.125427

[32]

Emary, C., Marcos, D., Aguado, R. & Brandes, T. Frequency-dependent counting statistics in interacting nanoscale conductors. Phys. Rev. B 76, 161404(R) (2007). 10.1103/physrevb.76.161404

[33]

Marcos, D., Emary, C., Aguado, R. & Brandes, T. Finite-frequency counting statistics of electron transport: Markovian theory. New J. Phys. 12, 123009 (2010). 10.1088/1367-2630/12/12/123009

[34]

Galaktionov, A. V. & Zaikin, A. D. Current fluctuations in composite conductors: beyond the second cumulant. Phys. Rev. B 85, 115418 (2011). 10.1103/physrevb.84.115418

[35]

Lu, W., Ji, Z. Q., Pfeiffer, L., West, K. W. & Rimberg, A. J. Real-time detection of electron tunnelling in a quantum dot. Nature 423, 422 (2003). 10.1038/nature01642

[36]

Vandersypen, L. M. K. et al. Real-time detection of single-electron tunneling using a quantum point contact. Appl. Phys. Lett. 85, 4394 (2004). 10.1063/1.1815041

[37]

Naaman, O. & Aumentado, J. Poisson transition rates from time-domain measurements with a finite bandwidth. Phys. Rev. Lett. 96, 100201 (2006). 10.1103/physrevlett.96.100201

[38]

Brandes, T. Waiting times and noise in single particle transport. Ann. Phys. (Berlin) 17, 477 (2008). 10.1002/andp.200810306

[39]

Albert, M., Flindt, C. & Bütikker, M. Distributions of waiting times of dynamic single-electron emitters. Phys. Rev. Lett. 107, 086805 (2011). 10.1103/physrevlett.107.086805

[40]

Nikias, C. L. & Mendel, J. M. Signal processing with higher-order spectra. IEEE Signal Proc. Mag. 10, 10 (1993). 10.1109/79.221324

[41]

Kogan, Sh. Electrical Noise and Fluctuations in Solids (Cambridge University Press, 1996). 10.1017/cbo9780511551666

[42]

Barthold, P., Hohls, F., Maire, N., Pierz, K. & Haug, R. J. Enhanced shot noise in tunneling through a stack of coupled quantum dots. Phys. Rev. Lett. 96, 246804 (2006). 10.1103/physrevlett.96.246804

[43]

Kießlich, G., Schöll, E., Brandes, T., Hohls, F. & Haug, R. J. Noise enhancement due to quantum coherence in coupled quantum dots. Phys. Rev. Lett. 99, 206602 (2007). 10.1103/physrevlett.99.206602

[44]

Bagrets, D. A. & Nazarov, Yu.V. Full counting statistics of charge transfer in Coulomb blockade systems. Phys. Rev. B 67, 085316 (2003). 10.1103/physrevb.67.085316

[45]

MacDonald, D. K. C. Spontaneous fluctuations. Rep. Prog. Phys. 12, 56 (1949). 10.1088/0034-4885/12/1/304

[46]

Flindt, C., Novotný, T. & Jauho, A.- P. Full counting statistics of nano-electromechanical systems. Europhys. Lett. 69, 475 (2005). 10.1209/epl/i2004-10351-x

[47]

Flindt, C., Novotný, T. & Jauho, A.- P. Current noise spectrum of a quantum shuttle. Physica E 29, 411 (2005). 10.1016/j.physe.2005.05.040

[48]

Flindt, C., Novotný, T., Braggio, A., Sassetti, M. & Jauho, A.- P. Counting statistics of non-markovian quantum stochastic processes. Phys. Rev. Lett. 100, 150601 (2008). 10.1103/physrevlett.100.150601

Cited By

147

Stationary Current and Shot-Noise Power Spectrum for Quantum Transport through a Double Quantum Dot System

L. E. Fedichkin, T. B. Fakhrutdinov · 2025

Russian Microelectronics

Metrics

147

Citations

48

References

Details

Published: Jan 03, 2012
Vol/Issue: 3(1)
License: View

Authors

Schoen Klinik Roseneck, 83209 Prien am Chiemsee, Germany

Cite This Article

Niels Ubbelohde, Christian Fricke, Christian Flindt, et al. (2012). Measurement of finite-frequency current statistics in a single-electron transistor. Nature Communications, 3(1). https://doi.org/10.1038/ncomms1620

Measurement of finite-frequency current statistics in a single-electron transistor

You May Also Like