Abstract:
We generalize the theory of thermoelectrics to include coherent electron systems under adiabatic ac driving, accounting for quantum pumping of charge and heat, as well as for the work exchanged between the electron system and driving potentials. We derive the relevant response coefficients in the adiabatic regime and show that they obey generalized Onsager reciprocity relations. We analyze the consequences of our generalized thermoelectric framework for quantum motors, generators, heat engines, and heat pumps, characterizing them in terms of efficiencies and figures of merit. We illustrate these concepts in a model for a quantum pump. © 2016 American Physical Society.
Registro:
Documento: |
Artículo
|
Título: | Adiabatic response and quantum thermoelectrics for ac-driven quantum systems |
Autor: | Ludovico, M.F.; Battista, F.; Von Oppen, F.; Arrachea, L. |
Filiación: | Departamento de Física, FCEyN, Universidad de Buenos Aires, IFIBA, Pabellón i, Ciudad Universitaria, Caba, 1428, Argentina International Center for Advanced Studies, UNSAM, Campus Miguelete, 25 de Mayo y Francia, Buenos Aires, 1650, Argentina Dahlem Center for Complex Quantum Systems and Fachbereich Physik, Freie Universität Berlin, Berlin, 14195, Germany
|
Año: | 2016
|
Volumen: | 93
|
Número: | 7
|
DOI: |
http://dx.doi.org/10.1103/PhysRevB.93.075136 |
Título revista: | Physical Review B
|
Título revista abreviado: | Phys. Rev. B
|
ISSN: | 24699950
|
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699950_v93_n7_p_Ludovico |
Referencias:
- Onsager, L., (1931) Phys. Rev., 38, p. 2265
- Büttiker, M., (1986) Phys. Rev. Lett., 57, p. 1761
- Butcher, P.N., (1990) J. Phys. Condens. Matter, 2, p. 4869
- Benenti, G., Casati, G., Prosen, T., Saito, K., arXiv:1311.4430; Benenti, G., Saito, K., Casati, G., (2011) Phys. Rev. Lett., 106, p. 230602
- Brandner, K., Saito, K., Seifert, U., (2013) Phys. Rev. Lett., 110, p. 070603
- Entin-Wohlman, O., Imry, Y., Aharony, A., (2015) Phys. Rev. B, 91, p. 054302
- Vedernikov, M.V., Iordanishvili, E.K., (1998) Proceedings of XVII International Conference on Thermoelectrics (ICT), 1998, pp. 37-42. , in, (IEEE, Piscataway), pp
- Thouless, D.J., (1983) Phys. Rev. B, 27, p. 6083
- Büttiker, M., Thomas, H., Prêtre, A., (1994) Z. Phys. B, 94, p. 133
- Brouwer, P.W., (1998) Phys. Rev. B, 58, p. R10135. , (R)
- Moskalets, M., Büttiker, M., (2004) Phys. Rev. B, 69, p. 205316
- Arrachea, L., Moskalets, M., Martin-Moreno, L., (2007) Phys. Rev. B, 75, p. 245420
- Moskalets, M., Büttiker, M., (2009) Phys. Rev. B, 80, p. 081302. , (R)
- Juergens, S., Haupt, F., Moskalets, M., Splettstoesser, J., (2013) Phys. Rev. B, 87, p. 245423
- Bustos-Marun, R., Refael, G., Von Oppen, F., (2013) Phys. Rev. Lett., 111, p. 060802
- Fennimore, A.M., Yuzvinsky, T.D., Han, W.Q., Fuhrer, M.S., Cumings, J., Zettl, A., (2003) Nature (London), 58, p. 408410
- Del Campo, A., Goold, J., Paternostro, M., (2014) Sci. Rep., 4, p. 6208
- Mazza, F., Bosisio, R., Benenti, G., Giovannetti, V., Fazio, R., Taddei, F., (2014) New J. Phys., 16, p. 085001
- Humphrey, T.E., Newbury, R., Taylor, R.P., Linke, H., (2002) Phys. Rev. Lett., 89, p. 116801
- Humphrey, T.E., Linke, H., (2005) Phys. Rev. Lett., 94, p. 096601
- Crépieux, A., Simkovic, F., Cambon, B., Michelini, F., (2011) Phys. Rev. B, 83, p. 153417
- Lim, J.S., López, R., Sánchez, D., (2013) Phys. Rev. B, 88, p. 201304. , (R)
- Daré, A.-M., Lombardo, P., (2016) Phys. Rev. B, 93, p. 035303
- We assume for definiteness that all parameters (Equation presented) transform in the same way under time reversal; Bruus, H., Flensberg, K., (2005) Many-Body Quantum Field Theory in Condensed Matter Physics, , (Oxford University Press, Oxford)
- Lu, J.T., Brandbyge, M., Hedegard, P., (2010) Nano Lett., 10, p. 1657
- Bode, N., Kusminskiy, S.V., Egger, R., Von Oppen, F., (2011) Phys. Rev. Lett., 107, p. 036804
- Bode, N., Arrachea, L., Lozano, G.S., Nunner, T.S., Von Oppen, F., (2012) Phys. Rev. B, 85, p. 115440
- Cohen, D., (2003) Phys. Rev. B, 68, p. 155303. , Similar relations were found for closed systems (i.e., not coupled to reservoirs) without applied dc bias voltages in
- Shutenko, T.A., Aleiner, I.L., Altshuler, B.L., (2000) Phys. Rev. B, 61, p. 10366
- Aleiner, I.L., Altshuler, B.L., Kamenev, A., (2000) Phys. Rev. B, 62, p. 10373
- Vavilov, M.G., Aleiner, I.L., (2001) Phys. Rev. B, 64, p. 085115
- DiCarlo, L., Marcus, C.M., Harris, J.S., Jr., (2003) Phys. Rev. Lett., 91, p. 246804
- Moskalets, M., Büttiker, M., (2005) Phys. Rev. B, 72, p. 035324
- Ludovico, M.F., Arrachea, L., (2013) Phys. Rev. B, 87, p. 115408
- Mahan, G.D., (1990) Many Particle Systems, , (Plenum, New York)
- Luttinger, J.M., (1964) Phys. Rev., 135, p. A1505
- Luttinger, J.M., (1964) Phys. Rev., 136, p. A1481
- Shastry, B.S., (2009) Rep. Prog. Phys., 72, p. 016501. , For a review, see
- Callen, H., (1948) Phys. Rev., 73, p. 1349
- Landau, L.D., Lifshitz, E.M., (1959) Statistical Physics, 5. , (Pergamon, London)
- Ludovico, M.F., Lim, J.S., Moskalets, M., Arrachea, L., Sanchez, D., (2014) Phys. Rev. B, 89, p. 161306. , (R)
- Arrachea, L., Moskalets, M., (2006) Phys. Rev. B, 74, p. 245322
- Blumenthal, M.D., Kaestner, B., Li, L., Giblin, S., Janssen, T.J.B.M., Pepper, M., Anderson, D., Ritchie, D.A., (2007) Nat. Phys., 3, p. 343
- Jarzynski, C., (1997) Phys. Rev. Lett., 78, p. 2690
- Crooks, G.E., (1999) Phys. Rev. e, 60, p. 2721
- Kurchan, J., J. Stat. Mech., 2007, p. P07005
- Esposito, M., Harbola, U., Mukamel, S., (2009) Rev. Mod. Phys., 81, p. 1665
- Campisi, M., Hänggi, P., Talkner, P., (2011) Rev. Mod. Phys., 83, p. 771
Citas:
---------- APA ----------
Ludovico, M.F., Battista, F., Von Oppen, F. & Arrachea, L.
(2016)
. Adiabatic response and quantum thermoelectrics for ac-driven quantum systems. Physical Review B, 93(7).
http://dx.doi.org/10.1103/PhysRevB.93.075136---------- CHICAGO ----------
Ludovico, M.F., Battista, F., Von Oppen, F., Arrachea, L.
"Adiabatic response and quantum thermoelectrics for ac-driven quantum systems"
. Physical Review B 93, no. 7
(2016).
http://dx.doi.org/10.1103/PhysRevB.93.075136---------- MLA ----------
Ludovico, M.F., Battista, F., Von Oppen, F., Arrachea, L.
"Adiabatic response and quantum thermoelectrics for ac-driven quantum systems"
. Physical Review B, vol. 93, no. 7, 2016.
http://dx.doi.org/10.1103/PhysRevB.93.075136---------- VANCOUVER ----------
Ludovico, M.F., Battista, F., Von Oppen, F., Arrachea, L. Adiabatic response and quantum thermoelectrics for ac-driven quantum systems. Phys. Rev. B. 2016;93(7).
http://dx.doi.org/10.1103/PhysRevB.93.075136