211
Views
0
CrossRef citations to date
0
Altmetric
Review articles

Single particle sources and quantum heat fluctuations

Pages 286-301 | Received 14 Apr 2014, Accepted 10 Jun 2014, Published online: 10 Jul 2014

References

  • D.K. Ferry and S. Goodnick, Transport in Nanostructures, Cambridge University Press, Cambridge, 1997.
  • C. Glattli, M. Sanquer, and J. Trân Thanh Vân (eds.), Quantum Physics at Mesoscopic Scale, Proceedings of the XXXIVth Rencontres de Moriond Series Moriond Workshops, Les Arcs, EDP Science, 1999.
  • A. Messiah, Quantum Mechanics, Dover, New York, 1999.
  • D.J. Thouless, Quantization of particle transport, Phys. Rev. B 27 (1983), pp. 6083–6087.
  • M. Büttiker, H. Thomas, and A. Prêtre, Current partition in multiprobe conductors in the presence of slowly oscillating external potentials, Z. Phys. B 94 (1994), pp. 133–137.
  • P.W. Brouwer, Scattering approach to parametric pumping, Phys. Rev. B 58 (1998), pp. 10135–10138(R).
  • Ya. Blanter and M. Büttiker, Shot noise in mesoscopic conductors, Phys. Rep. 336 (2000), pp. 1–166.
  • J.P. Pekola, O.-P. Saira, V.F. Maisi, A. Kemppinen, M. Möttönen, Y.A. Pashkin, and D.V. Averin, Single-electron current sources: Toward a refined definition of the ampere, Rev. Mod. Phys. 85 (2013), pp. 1421–1472.
  • M. Moskalets and M. Büttiker, Heat production and current noise for single- and double-cavity quantum capacitors, Phys. Rev. B 80 (2009), pp. 081302–081305(R).
  • T.T. Heikkilä and Y.V. Nazarov, Statistics of temperature fluctuations in an electron system out of equilibrium, Phys. Rev. Lett. 102 (2009), pp. 130605–130608.
  • M.A. Laakso, T.T. Heikkilä, and Y.V. Nazarov, Fully overheated single-electron transistor, Phys. Rev. Lett. 104 (2010), pp. 196805–196808.
  • R. Sánchez and M. Büttiker, Detection of single-electron heat transfer statistics, Europhys. Lett. 100 (2012), pp. 47008–47013.
  • F. Battista, F. Haupt, and J. Splettstoesser, Energy and power fluctuations in ac-driven coherent conductors, preprint (2014), Available at arXiv:1405.4326.
  • A. Altland, A. De Martino, R. Egger, and B. Narozhny, Transient fluctuation relations for time-dependent particle transport, Phys. Rev. B 82 (2010), pp. 115323–115334.
  • D.V. Averin and J. Pekola, Violation of the fluctuation-dissipation theorem in time-dependent mesoscopic heat transport, Phys. Rev. Lett. 104 (2010), pp. 220601–220604; Statistics of the dissipated energy in driven single-electron transitions, Europhys. Lett. 96 (2011), pp. 67004–67008.
  • B. Küng, C. Rössler, M. Beck, M. Marthaler, D.S. Golubev, Y. Utsumi, T. Ihn, and K. Ensslin, Irreversibility on the level of single-electron tunneling, Phys. Rev. X. 2 (2012), pp. 011001–011006.
  • O.-P. Saira, Y. Yoon, T. Tanttu, M. Möttönen, D.V. Averin, and J.P. Pekola, Test of the Jarzynski and Crooks fluctuation relations in an electronic system, Phys. Rev. Lett. 109 (2012), pp. 180601–180605.
  • M. Esposito, U. Harbola, and S. Mukamel, Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems, Rev. Mod. Phys. 81 (2009), pp. 1665–1702.
  • G. Haack, M. Moskalets, and M. Büttiker, Glauber coherence of single-electron sources, Phys. Rev. B 87 (2013), pp. 201302–201306(R).
  • A. Mahé, F.D. Parmentier, E. Bocquillon, J.-M. Berroir, D.C. Glattli, T. Kontos, B. Plaçais, G. Féve, A. Cavanna, and Y. Jin, Current correlations of an on-demand single-electron emitter, Phys. Rev. B. 82 (2010), pp. 201309–201312(R).
  • M. Albert, C. Flindt, and M. Büttiker, Distributions of waiting times of dynamic single-electron emitters, Phys. Rev. Lett. 107 (2011), pp. 086805–086809.
  • F.D. Parmentier, E. Bocquillon, J.-M. Berroir, D.C. Glattli, B. Plaçais, G. Fève, M. Albert, C. Flindt, and M. Büttiker, Current noise spectrum of a single-particle emitter: Theory and experiment, Phys. Rev. B 85 (2012), pp. 165438–165452.
  • R.-P. Riwar and J. Splettstoesser, Charge and spin pumping through a double quantum dot, Phys. Rev. B 82 (2010), pp. 205308–205321.
  • B.D. Josephson, Possible new effects in superconductivetunnelling, Phys. Lett. 1 (1962), pp. 251–253.
  • K. von Klitzing, G. Dorda, and M. Pepper, New method for high-accuracy determination of the fine-structure constant based on quantized hall resistance, Phys. Rev. Lett. 45 (1980), pp. 494–497.
  • P. Samuelsson, E.V. Sukhorukov, and M. Büttiker, Two-particle Aharonov-Bohm effect and entanglement in the electronic Hanbury Brown-Twiss setup, Phys. Rev. Lett. 92 (2004), pp. 026805–026808; P. Samuelsson, I. Neder, and M. Büttiker, Reduced and projected two-particle entanglement at finite temperatures, Phys. Rev. Lett. 102 (2009), pp. 106804–106807.
  • R.A. Webb, S. Washburn, C.P. Umbach, and R.B. Laibowitz, Observation of h/e Aharonov-Bohm oscillations in normal-metal rings, Phys. Rev. Lett. 54 (1985), pp. 2696–2699.
  • Y. Ji, Y. Chung, D. Sprinzak, M. Heiblum, D. Mahalu, and H. Shtrikman, An electronic Mach-Zehnder interferometer, Nature 422 (2003), pp. 415–418; I. Neder, M. Heiblum, Y. Levinson, D. Mahalu, and V. Umansky, Unexpected behavior in a two-path electron interferometer, Phys. Rev. Lett. 96 (2006), pp. 016804–016807; L.V. Litvin, H. Tranitz, W. Wegscheider, and C. Strunk, Decoherence and single electron charging in an electronic Mach-Zehnder interferometer, Phys. Rev. B 75 (2007), pp. 033315–033318; P. Roulleau, F. Portier, P. Roche, A. Cavanna, G. Faini, U. Gennser, and D. Mailly, Direct measurement of the coherence length of edge states in the integer quantum hall regime, Phys. Rev. Lett. 100 (2008), pp. 126802–126805; E. Bieri, M. Weiss, O. Goktas, M. Hauser, S. Csonka, S. Oberholzer, and C. Schonenberger, Finite-bias visibility dependence in an electronic Mach-Zehnder interferometer, Phys. Rev. B 79 (2009), pp. 245324–245329.
  • E. Bocquillon, F.D. Parmentier, C. Grenier, J.-M. Berroir, P. Degiovanni, D.C. Glattli, B. Plaçais, A. Cavanna, Y. Jin, and G. Fève, Electron quantum optics: Partitioning electrons one by one, Phys. Rev. Lett. 108 (2012), pp. 196803–196807.
  • M. Büttiker, Absence of backscattering in the quantum Hall effect in multiprobe conductors, Phys. Rev. B 38 (1988), pp. 9375–9389.
  • C. Grenier, R. Hervé, G. Fève, and P. Degiovanni, Pascal Degiovanni, Electron quantum optics in quantum hall edge channels, Mod. Phys. Lett. B 25 (2011), pp. 1053–1073.
  • L.J. Geerlings, V.F. Anderegg, P.A.M. Holweg, and J.E. Mooij, Frequency-locked turnstile device for single electrons, Phys. Rev. Lett. 64 (1990), pp. 2691–2694.
  • H. Pothier, P. Lafarge, C. Urbina, D. Esteve, and M.H. Devoret, Single-electron pump based on charging effects, Europhys. Lett. 17 (1992), pp. 249–254.
  • B. Camarota, H. Scherer, M.V. Keller, S.V. Lotkhov, G.-D. Willenberg, and F.J. Ahlers, Electron counting capacitance standard with an improved five-junction R-pump, Metrologia 49 (2012), pp. 8–23.
  • L.P. Kouwenhoven, A.T. Johnson, N.C. van der Vaart, C.J.P.M. Harmans, and C.T. Foxon, Quantized current in a quantum-dot turnstile using oscillating tunnel barriers, Phys. Rev. Lett. 67 (1991), pp. 1626–1629.
  • N.M. Zimmerman, E. Hourdakis, Y. Ono, A. Fujiwara, and Y. Takahashi, Error mechanisms and rates in tunable-barrier single-electron turnstiles and charge-coupled devices, J. Appl. Phys. 96 (2004), pp. 5254–5266.
  • J.M. Shilton, V.I. Talyanskii, M. Pepper, D.A. Ritchie, J.E.F. Frost, C.J.B. Ford, C.G. Smith, and G.A.C. Jones, High-frequency single-electron transport in aquasi-one-dimensional GaAs channel induced by surface acoustic waves, J. Phys.: Condens. Matter 8 (1996), pp. L531–539.
  • A.M. Robinson and C.H.W. Barnes, Classical dynamics of electrons in quantized-acoustoelectric-current devices, Phys. Rev. B 63 (2001), pp. 165418–165429.
  • P.A. Maksym, Quantized electron transport through a time-dependent potential barrier, Phys. Rev. B 61 (2000), pp. 4727–4730.
  • K. Flensberg, Q. Niu, and M. Pustilnik, Nonadiabaticity and single-electron transport driven by surface acoustic waves, Phys. Rev. B 60 (1999), pp. 16291–16294(R).
  • G.R. Aizin, G. Gumbs, and M. Pepper, Screening of the surface-acoustic-wave potential by a metal gate and the quantization of the acoustoelectric current in a narrow channel, Phys. Rev. B 58 (1998), pp. 10589–10596.
  • G. Gumbs, G.R. Aizin, and M. Pepper, Coulomb inter-action of two electrons in the quantum dot formed by the surface acoustic wave in a narrow channel, Phys. Rev. B 60 (1999), pp. 13954–13957(R).
  • R.P.G. McNeil, M. Kataoka, C.J.B. Ford, C.H.W. Barnes, D. Anderson, G.A.C. Jones, I. Farrer, and D.A. Ritchie, On-demand single-electron transfer between distant quantum dots, Nature 477 (2011), pp. 439–442.
  • S. Hermelin, S. Takada, M. Yamamoto, S. Tarucha, A.D. Wieck, L. Saminadayar, C. Bäuerle, and T. Meunier, Electrons surfing on a sound wave as a platform for quantum optics with flying electrons, Nature 477 (2011), pp. 435–438.
  • J.P. Pekola, J.J. Vartiainen, M. Möttönen, O.-P. Saira, M. Meschke, and D.V. Averin, Hybrid single-electron transistor as a source of quantized electric current, Nature Phys. 4 (2008), pp. 120–124.
  • J.P. Pekola, F. Maisi, S. Kafanov, N. Chekurov, A. Kempinen, Y.A. Pashkin, O.-P. Saira, M. Möttönen, and J.S. Tsai, Environment-assisted tunneling as an origin of the dynes density of states, Phys. Rev. Lett. 105 (2010), pp. 026803–026806.
  • V.F. Maisi, Y.A. Pashkin, S. Kafanov, J.S. Tsai, and J.P. Pekola, Parallel pumping of electrons, New J. Phys. 11 (2009), pp. 113057–113062.
  • M.D. Blumenthal, B. Kaestner, L. Li, S. Giblin, T.J.B.M. Janssen, M. Pepper, D. Anderson, G. Jones, and D.A. Ritchie, Gigahertz quantized charge pumping, Nature Phys. 3 (2007), pp. 343–347.
  • B. Kaestner, V. Kashcheyevs, S. Amakawa, M.D. Blumenthal, L. Li, T.J.B.M. Janssen, G. Heinz, K. Pierz, T. Weimann, U. Siegner, and H.W. Schumacher, Single-parameter nonadiabatic quantized charge pumping, Phys. Rev. B 77 (2008), pp. 153301–153304.
  • A. Fujiwara, K. Nishiguchi, and Y. Ono, Nanoampere charge pump by single-electron ratchet using silicon nanowire metal-oxide-semiconductor field-effect transistor, Appl. Phys. Lett. 92 (2008), pp. 042102–042102-3.
  • B. Kaestner, C. Leicht, V. Kashcheyevs, K. Pierz, U. Siegner, and H.W. Schumacher, Single-parameter quantized charge pumping in high magnetic fields, Appl. Phys. Lett. 94 (2009), pp. 012106–012109.
  • S.J. Wright, M.D. Blumenthal, G. Gumbs, A.L. Thorn, M. Pepper, T.J.B.M. Janssen, S.N. Holmes, D. Anderson, G.A.C. Jones, C.A. Nicoll, and D.A. Ritchie, Enhanced current quantization in high-frequency electron pumps in a perpendicular magnetic field, Phys. Rev. B 78 (2008), pp. 233311–23334.
  • S. Giblin, M. Kataoka, J.D. Fletcher, P. See, T.J.B.M. Janssen, J.P. Griffiths, G.A.C. Jones, I. Farrer, and D.A. Ritchie, Towards a quantum representation of the ampere using single electron pumps, Nat. Commun. 3 (2012), pp. 930–937.
  • T. Shinada, S. Okamoto, T. Kobayashi, and I. Ohdomari, Enhancing semiconductor device performance using ordered dopant arrays, Nature 437 (2005), pp. 1128–1131.
  • M. Tabe, D. Moraru, M. Ligowski, M. Anwar, R. Jablonski, Y. Ono, and T. Mizuno, Single-electron transport through single dopants in a dopant-rich environment, Phys. Rev. Lett. 105 (2010), pp. 016803–016806.
  • G.P. Lansbergen, Y. Ono, and A. Fujiwara, Donor-based single electron pumps with tunable donor binding energy, Nano Lett. 12 (2012), pp. 763–768.
  • B. Roche, R.-P. Riwar, B. Voisin, E. Dupont-Ferrier, R. Wacquez, M. Vinet, M. Sanquer, J. Splettstoesser, and X. Jehl, A two-atom electron pump, Nature Commun. 4 (2013), pp. 1581–1585.
  • G. Fève, A. Mahé, J.-M. Berroir, T. Kontos, B. Plaçais, D.C. Glattli, A. Cavanna, B. Etienne, and Y. Jin, An on-demand coherent single-electron source, Science 316 (2007), pp. 1169–1172.
  • F. Battista and P. Samuelsson, Proposal for nonlocal electron-hole turnstile in the quantum Hall regime, Phys. Rev. B 83 (2011), pp. 125324–125328.
  • M. Moskalets, P. Samuelsson, and M. Büttiker, Quantized dynamics of a coherent capacitor, Phys. Rev. Lett. 100 (2008), pp. 086601–086604.
  • J. Keeling, A.V. Shytov, and L.S. Levitov, Coherent particle transfer in an on-demand single-electron source, Phys. Rev. Lett. 101 (2008), pp. 196404–196407.
  • T. Jonckheere, T. Stoll, J. Rech, and Th. Martin, Real-time simulation of finite-frequency noise from a single-electron emitter, Phys. Rev. B 85 (2012), pp. 045321–045329.
  • S. Ol’khovskaya, J. Splettstoesser, M. Moskalets, and M. Büttiker, Shot noise of a mesoscopic two-particle collider, Phys. Rev. Lett. 101 (2008), pp. 166802–166805.
  • J. Keeling, I. Klich, and L.S. Levitov, Minimal excitation states of electrons in one-dimensional wires, Phys. Rev. Lett. 97 (2006), pp. 116403–116406.
  • J. Dubois, J. Thibaut, C. Grenier, P. Degiovanni, P. Roulleau, and D.C. Glattli, Integer and fractional charge Lorentzian voltage pulses analyzed in the framework of photon-assisted shot noise, Phys. Rev. B 88 (2013), pp. 085301–085315.
  • J. Dubois, T. Jullien, F. Portier, P. Roche, A. Cavanna, Y. Jin, W. Wegscheider, P. Roulleau, and D.C. Glattli, Minimal-excitation states for electron quantum optics using levitons, Nature 502 (2013), pp. 659–663.
  • J. Keeling, A.V. Shytov, and L.S. Levitov, Coherent particle transfer in an on-demand single-electron source, Phys. Rev. Lett. 101 (2008), pp. 196404–196407.
  • F. Battista and P. Samuelsson, Spectral distribution and wave function of electrons emitted from a single-particle source in the quantum hall regime, Phys. Rev. B 85 (2012), pp. 075428–075438.
  • J.D. Fletcher, P. See, H. Howe, M. Pepper, S.P. Giblin, J.P. Griffiths, G.A.C. Jones, I. Farrer, D.A. Ritchie, T.J.B.M. Janssen, and M. Kataoka, Clock-controlled emission of single-electron wave packets in a solid-state circuit, Phys. Rev. Lett. 111 (2013), pp. 216807–216811.
  • D. Ferraro, A. Feller, A. Ghibaudo, E. Thibierge, E. Bocquillon, G. Fève, C. Grenier, and P. Degiovanni, Wigner function approach to single electron coherence in quantum hall edge channels, Phys. Rev. B 88 (2013), pp. 205303–205319.
  • C. Altimiras, H. le Sueur, U. Gennser, A. Cavanna, D. Mailly, and F. Pierre, Non-equilibrium edge-channel spectroscopy in the integer quantum Hall regime, Nature Phys. 6 (2009), pp. 34–39.
  • H. le Sueur, C. Altimiras, U. Gennser, A. Cavanna, D. Mailly, and F. Pierre, Energy relaxation in the integer quantum hall regime, Phys. Rev. Lett. 105 (2010), pp. 056803–056806.
  • C. Altimiras, H. le Sueur, U. Gennser, A. Cavanna, D. Mailly, and F. Pierre,Tuning energy relaxation along quantum hall channels, Phys. Rev. Lett. 105 (2010), pp. 226804–226807.
  • C. Neuenhahn and F. Marquardt, Universal dephasing in a Chiral 1D interacting Fermion System, Phys. Rev. Lett. 102 (2009), pp. 046806–046809.
  • P. Degiovanni, C. Grenier, and G. Fève, Decoherence and relaxation of single-electron excitations in quantum Hall edge channels, Phys. Rev. B 80 (2009), pp. 241307–241310.
  • A.M. Lunde, S.E. Nigg, and M. Buttiker, Interaction-induced edge channel equilibration, Phys. Rev. B 81 (2010), pp. 041311–041314(R).
  • G. Granger, J.P. Eisenstein, and J.L. Reno, Observation of chiral heat transport in the quantum hall regime, Phys. Rev. Lett. 102 (2009), pp. 086803–086806.
  • V. Venkatachalam, S. Hart, L. Pfeiffer, K. West, and A. Yacoby, Local thermometry of neutral modes on the quantum Hall edge, Nature Phys. 8 (2012), pp. 676–681.
  • C. Altimiras, H. le Sueur, U. Gennser, A. Anthore, A. Cavanna, D. Mailly, and F. Pierre, Chargeless heat transport in the fractional quantum hall regime, Phys. Rev. Lett. 109 (2012), pp. 026803–026807.
  • S. Jezouin, F.D. Parmentier, A. Anthore, U. Gennser, A. Cavanna, Y. Jin, and F. Pierre, Quantum limit of heat flow across a single electronic channel, Science 342 (2013), pp. 601–604.
  • F. Battista, M. Albert, M. Moskalets, and P. Samuelsson, Quantum heat fluctuations of single-particle sources, Phys. Rev. Lett. 110 (2013), pp. 126602–126606.
  • K.E. Nagaev, S. Pilgram, and M. Büttiker, Frequency scales for current statistics of mesoscopic conductors, Phys. Rev. Lett. 92 (2004), pp. 176804–176807.
  • L.S. Levitov and G.B. Lesovik, Charge distribution in quantum shot noise, JETP Lett. 58 (1993), pp. 230–235.
  • D.A. Ivanov and L.S. Levitov, Statistics of charge fluctuations in quantum transport in an alternating field, JETP Lett. 58 (1993), pp. 461–468.
  • L.S. Levitov, H.-W. Lee, and G.B. Lesovik, Electron counting statistics and coherent states of electric current, J. Math. Phys. 37 (1996), pp. 4845–4387.
  • D.A. Ivanov, H.-W. Lee, and L.S. Levitov, Coherent states of alternating current, Phys. Rev. B 56 (1997), pp. 6839–6850.
  • Y.V. Nazarov (ed.), Quantum Noise in Mesoscopic Physics, Vol. 97 of NATO ASI Series II, Kluwer, Dordrecht, 2003.
  • S. Pilgram, A.N. Jordan, E.V. Sukhorukov, and M. Büttiker, Stochastic path integral formulation of full counting statistics, Phys. Rev. Lett. 90 (2003), pp. 206801–206804.
  • A.N. Jordan, E.V. Sukhorukov, and S. Pilgram, Fluctuation statistics in networks: A stochastic path integral approach, J. Math. Phys. 45 (2004), pp. 4386–4408.
  • H. Förster, P. Samuelsson, and M. Büttiker, Current-voltage correlations in interferometers, New J. Phys. 9 (2007), pp. 117–138.
  • F. Hohls, A.C. Welker, Ch Leicht, L. Fricke, B. Kaestner, P. Mirovsky, A. Müller, K. Pierz, U. Siegner, and H.W. Schumacher, Semiconductor quantized voltage source, Phys. Rev. Lett. 109 (2012), pp. 056802–056806.
  • L.G.C. Rego and G. Kirczenow, Fractional exclusion statistics and the universal quantum of thermal conductance: A unifying approach, Phys. Rev. B 59 (1999), pp. 13080–13086.
  • J.E. Avron, A. Elgart, G.M. Graf, and L. Sadun, Optimal quantum pumps, Phys. Rev. Lett. 87 (2001), pp. 236601–236604.
  • A. Crépieux and F. Michelini, Mixed, charge and heat noises in thermoelectric nanosystems, preprint (2014). Available at arXiv:1403.8035.
  • S. Pilgram, Electron-electron scattering effects on the full counting statistics of mesoscopic conductors, Phys. Rev. B 69 (2004), pp. 115315–115322.
  • M. Kindermann and S. Pilgram, Statistics of heat transfer in mesoscopic circuits, Phys. Rev. B 69 (2004), pp. 155334–155341.
  • F. Battista, M. Albert,, M. Moskalets, and P. Samuelsson, Statistics of temperature and potential fluctuations induced by coherent single particle sources, in Proceedings of the 22nd International Conference on Noise and Fluctuations (ICNF), 24–28 June 2013, Montpellier, France, IEEE, 2013.
  • C. Flindt, C. Fricke, F. Hohls, T. Novotný, K. Netočný, T. Brandes, and R.J. Haug, Universal oscillations in counting statistics, Proc. Natl. Acad. Sci. USA 106 (2009), pp. 10116–10119.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.