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Abstract:

Using closed-time-path two-particle irreducible coarse-grained effective action (CTP 2PI CGEA) techniques, we study the response of an open interacting electronic system to time-dependent external electromagnetic fields. We show that the CTP 2PI CGEA is invariant under a simultaneous gauge transformation of the external field and the full Schwinger-Keldysh propagator, and that this property holds even when the loop expansion of the CTP 2PI CGEA is truncated at arbitrary order. The effective action approach provides a systematic way of calculating the propagator and response functions of the system, via the Schwinger-Dyson equation and the Bethe-Salpeter equations, respectively. We show that, due to the invariance of the CTP 2PI CGEA under external gauge transformations, the response functions calculated from it satisfy the Ward-Takahashi hierarchy, thus warranting the conservation of the electronic current beyond the expectation value level. We also clarify the connection between nonlinear response theory and the WT hierarchy, and discuss an example of an ad hoc approximation that violates it. These findings may be useful in the study of current fluctuations in correlated electronic pumping devices. © 2009 IOP Publishing Ltd.

Registro:

Documento: Artículo
Título:Two-particle irreducible effective action approach to nonlinear current-conserving approximations in driven systems
Autor:Peralta-Ramos, J.; Calzetta, E.
Filiación:CONICET, Departamento de Física, Pabellón i, 1428 Buenos Aires, Argentina
Palabras clave:Arbitrary orders; Bethe-salpeter equations; Closed time paths; Coarse-grained; Current fluctuations; Driven systems; Dyson equations; Electronic currents; Electronic systems; Expectation values; External electromagnetic fields; External fields; Gauge transformations; Nonlinear currents; Nonlinear response theories; Response functions; Time dependents; Electromagnetic fields; Gages
Año:2009
Volumen:21
Número:21
DOI: http://dx.doi.org/10.1088/0953-8984/21/21/215601
Título revista:Journal of Physics Condensed Matter
Título revista abreviado:J Phys Condens Matter
ISSN:09538984
CODEN:JCOME
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09538984_v21_n21_p_PeraltaRamos

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Citas:

---------- APA ----------
Peralta-Ramos, J. & Calzetta, E. (2009) . Two-particle irreducible effective action approach to nonlinear current-conserving approximations in driven systems. Journal of Physics Condensed Matter, 21(21).
http://dx.doi.org/10.1088/0953-8984/21/21/215601
---------- CHICAGO ----------
Peralta-Ramos, J., Calzetta, E. "Two-particle irreducible effective action approach to nonlinear current-conserving approximations in driven systems" . Journal of Physics Condensed Matter 21, no. 21 (2009).
http://dx.doi.org/10.1088/0953-8984/21/21/215601
---------- MLA ----------
Peralta-Ramos, J., Calzetta, E. "Two-particle irreducible effective action approach to nonlinear current-conserving approximations in driven systems" . Journal of Physics Condensed Matter, vol. 21, no. 21, 2009.
http://dx.doi.org/10.1088/0953-8984/21/21/215601
---------- VANCOUVER ----------
Peralta-Ramos, J., Calzetta, E. Two-particle irreducible effective action approach to nonlinear current-conserving approximations in driven systems. J Phys Condens Matter. 2009;21(21).
http://dx.doi.org/10.1088/0953-8984/21/21/215601