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We analyse the full counting statistics (FCS) of the charge transport through the Anderson impurity model (AIM) and similar systems with a single conducting channel. The object of principal interest is the generating function for the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. O. Gogolin , A. Komnik

We have developed a self-consistent conserving pseudo particle approximation for the Anderson impurity model with finite Coulomb interaction, derivable from a Luttinger Ward functional. It contains an infinite series of skeleton diagrams…

Strongly Correlated Electrons · Physics 2020-04-20 K. Haule , S. Kirchner , J. Kroha , P. Wölfle

We present a microscopic Fermi-liquid view on the low-energy transport through an Anderson impurity with $N$ discrete levels, at arbitrary electron filling $N_d$. It is applied to nonequilibrium current fluctuations, for which the…

Mesoscale and Nanoscale Physics · Physics 2020-11-18 Yoshimichi Teratani , Rui Sakano , Akira Oguri

We present a complete microscopic Fermi-liquid description for next-to-leading order transport through an Anderson impurity under a finite bias voltage $V$. It is applicable to multilevel quantum dots without particle-hole or time-reversal…

Mesoscale and Nanoscale Physics · Physics 2022-03-14 Akira Oguri , Yoshimichi Teratani , Kazuhiko Tsutsumi , Rui Sakano

We present a comprehensive Fermi-liquid description for thermoelectric transport and current noise, applicable to multilevel quantum dots (QD) and magnetic alloys (MA) without electron-hole or time-reversal symmetry. Our formulation for the…

Mesoscale and Nanoscale Physics · Physics 2024-11-12 Yoshimichi Teratani , Kazuhiko Tsutsumi , Kaiji Motoyama , Rui Sakano , Akira Oguri

The time dependent full counting statistics of charge transport through an interacting quantum junction is evaluated from its generating function, controllably computed with the inchworm Monte Carlo method. Exact noninteracting results are…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Michael Ridley , Viveka Nand Singh , Emanuel Gull , Guy Cohen

We study low-energy properties of the Anderson impurity under a finite bias voltage $V$ using the perturbation theory in $U$ of Yamada and Yosida in the nonequilibrium Keldysh diagrammatic formalism, and obtain the Ward identities for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Akira Oguri

The question of Fermi liquid vs. non-Fermi liquid behavior induced by strong correlations is one of the prominent problems in metallic local moment systems. As standard models for such systems, the SU(N)xSU(M) Anderson impurity models…

Strongly Correlated Electrons · Physics 2016-11-30 Johann Kroha , Peter W"olfle

The single impurity Anderson model (SIAM) is studied within an enhanced non-crossing approximation (ENCA). This method is extended to the calculation of susceptibilities and thoroughly tested, also in order to prepare applications as a…

Strongly Correlated Electrons · Physics 2010-01-19 Sebastian Schmitt , Torben Jabben , Norbert Grewe

We generalize Nozi\`eres' Fermi-liquid theory for the low-energy behavior of the Kondo model to that of the single-impurity Anderson model. In addition to the electrons' phase shift at the Fermi energy, the low-energy Fermi-liquid theory is…

Mesoscale and Nanoscale Physics · Physics 2015-08-26 Christophe Mora , Catalin Pascu Moca , Jan von Delft , Gergely Zarand

We apply the recently developed extremely correlated Fermi liquid theory to the Anderson impurity model, in the extreme correlation limit. We develop an expansion in a parameter \lambda, related to n_d, the average occupation of the…

Strongly Correlated Electrons · Physics 2026-01-14 B. Sriram Shastry , Edward Perepelitsky , Alex C. Hewson

We have applied the recently developed dual fermion technique to the spectral properties of single-band Anderson impurity problem (SIAM). In our approach a series expansion is constructed in vertices of the corresponding atomic Hamiltonian…

Strongly Correlated Electrons · Physics 2010-06-15 I. S. Krivenko , A. N. Rubtsov , M. I. Katsnelson , A. I. Lichtenstein

The Anderson impurity model (AIM) is of fundamental importance in condensed matter physics to study strongly correlated effects. However, accurately solving its long-time dynamics still remains a great numerical challenge. An emergent and…

Strongly Correlated Electrons · Physics 2025-10-14 Zhijie Sun , Zhenyu Li , Chu Guo

We use the numerical renormalization group method to study an Anderson impurity in a conduction band with the density of states varying as rho(omega) \propto |omega|^r with r>0. We find two different fixed points: a local-moment fixed point…

Strongly Correlated Electrons · Physics 2009-10-30 R. Bulla , Th. Pruschke , A. C. Hewson

We show that thermodynamics is insufficient to probe the nature of the low energy dynamics of quantum impurity models and a more subtle analysis based on scattering theory is required. Traditionally, quantum impurity models are classified…

Strongly Correlated Electrons · Physics 2016-08-31 Pankaj Mehta , L. Borda , Gergely Zarand , Natan Andrei , P. Coleman

We review a recently developed method, based on an exact auxiliary boson representation, to describe both Fermi liquid and non-Fermi liquid behavior in quantum impurity systems. Coherent spin and charge fluctuation processes are taken into…

Strongly Correlated Electrons · Physics 2007-05-23 J. Kroha , P. Wölfle

We consider a quantum dot with ${\cal K}{\geq} 2$ orbital levels occupied by two electrons connected to two electric terminals. The generic model is given by a multi-level Anderson Hamiltonian. The weak-coupling theory at the particle-hole…

Mesoscale and Nanoscale Physics · Physics 2018-05-04 D. B. Karki , Christophe Mora , Jan von Delft , Mikhail N. Kiselev

We consider a version of the symmetric Anderson impurity model (compactified) which has a non-Fermi liquid weak coupling regime. We find that in the Majorana fermion representation, perturbation theory can be conveniently developed in terms…

Condensed Matter · Physics 2009-10-28 Guang-Ming Zhang , A. C. Hewson

The dynamics of a single impurity interacting with a many particle background is one of the central problems of condensed matter physics. Recent progress in ultracold atom experiments makes it possible to control this dynamics by coupling…

Quantum Gases · Physics 2015-06-03 F. Nur Ünal , Balázs Hetényi , M. Ö. Oktel

We formulate a general approach for studying the low-frequency response of an interacting quantum dot connected to leads in the presence of oscillating gate voltages. The energy dissipated is characterized by the charge relaxation…

Mesoscale and Nanoscale Physics · Physics 2012-10-31 Michele Filippone , Christophe Mora
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