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We develop a low-energy nonequilibrium field theory for weakly interacting quantum dots. The theory is based on the Keldysh field integral in the spin channel of the quantum dot described by the single impurity Anderson Hamiltonian. The…

Mesoscale and Nanoscale Physics · Physics 2012-05-14 Sergey Smirnov , Milena Grifoni

We address the problem of calculating the correlation functions of one-dimensional two-component gases with strong repulsive contact interactions. The model considered in this paper describes particles with fractional statistics and in…

Statistical Mechanics · Physics 2020-01-01 Ovidiu I. Patu

The non-equilibrium Green's function formalism for infinitely extended reservoirs coupled to a finite system can be derived by solving the equations of motion for a tight-binding Hamiltonian. While this approach gives the correct density…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Abhishek Dhar , Diptiman Sen

A method based on separated integration to estimate anharmonic corrections to energy and vibration of molecules in a second-order diagrammatic vibrational many-body Green's function formalism has already been presented. A severe bottleneck…

Chemical Physics · Physics 2019-09-17 Prashant Rai , Khachik Sargsyan , Habib Najm , So Hirata

It is shown that the non-equilibrium self-energy of an interacting lattice-fermion model has a unique Lehmann representation. Based on the construction of a suitable non-interacting effective medium, we provide an explicit and numerically…

Strongly Correlated Electrons · Physics 2015-12-22 Christian Gramsch , Michael Potthoff

The fermion Green function and spectral characteristics for the 2D Frohlich model of superconductivity at static fluctuations in the phase of the order parameter are calculated. The results demonstrate strongly non-Fermi-liquid properties…

Superconductivity · Physics 2009-10-31 V. M. Loktev , V. M. Turkowski

An extraordinary temperature dependence of the resonant Andreev reflection via discrete energy level in a normal-metal / quantum-dot / superconductor (N-QD-S) system is predicted theoretically by using Green function technique. The width of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yu Zhu , Qing-feng Sun , Tsung-han Lin

The exact ground-state exchange-correlation functional of Kohn-Sham density functional theory yields the exact transmission through an Anderson junction at zero bias and temperature. The exact impurity charge susceptibility is used to…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Zhenfei Liu , Justin P. Bergfield , Kieron Burke , Charles A. Stafford

An accurate expression of the kinetic energy density of an electronic distribution in terms of the single particle reduced density matrix for atomic and molecular systems is a long-standing problem in electron structure theory. Existing…

Chemical Physics · Physics 2024-10-30 Priya , Mainak Sadhukhan

The single-impurity Anderson model has been the focus of theoretical studies of molecular junctions and the single-electron transistor, a nanostructured device comprising a quantum dot that bridges two otherwise decoupled metallic leads.…

Strongly Correlated Electrons · Physics 2018-08-01 Krissia Zawadzki , Luiz N. Oliveira

We study the quantum-mechanical problem of scattering caused by a localized obstacle that breaks spatial and temporal reversibility. Accordingly, we follow Maxwell's prescription to achieve a violation of the second law of thermodynamics by…

Quantum Physics · Physics 2022-07-04 J. I. Castro--Alatorre , D. Condado , E. Sadurní

We develop a variational approach at finite temperature that incorporates many-body correlation self-consistently. The grand potential is constructed in terms of Green's function expressed by the variational parameters. We apply this…

Quantum Gases · Physics 2019-05-30 Akimitsu Kirikoshi , Wataru Kohno , Takafumi Kita

Here we address two nonequilibrium Green's functions approaches for a resonant tunneling structure under a sudden switch of a bias. Our aim is to stress that the time-dependent Keldysh formulation of Jauho, Wingreen and Meir, and the…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 Mariana M. Odashima , Caio H. Lewenkopf

Solid state quantum condensates often differ from previous examples of condensates (such as Helium, ultra-cold atomic gases, and superconductors) in that the quasiparticles condensing have relatively short lifetimes, and so as for lasers,…

Quantum Gases · Physics 2010-08-17 Jonathan Keeling , Marzena H. Szymanska , Peter B. Littlewood

We present an application of a new formalism to treat the quantum transport properties of fully interacting nanoscale junctions [Phys. Rev. B {\bf 84}, 235428 (2011)]. We consider a model single-molecule nanojunction in the presence of two…

Mesoscale and Nanoscale Physics · Physics 2012-10-15 H. Ness , L. K. Dash

In this paper, we develop a nonequilibrium theory for transient electron transport dynamics in nanostructures based on the Feynman-Vernon influence functional approach. We extend our previous work on the exact master equation describing the…

Mesoscale and Nanoscale Physics · Physics 2010-08-10 Jinshuang Jin , Matisse W. Y. Tu , Wei-Min Zhang , YiJing Yan

Unraveling general properties of Green's functions of quantum dissipative systems is of both experimental relevance and theoretical interest. Here, we study the spin-boson model as a prototype. By utilizing the Majorana- Fermion…

Mesoscale and Nanoscale Physics · Physics 2017-07-24 Junjie Liu , Hui Xu , Changqin Wu

We extend the formalism of the thermodynamic two-time Green's functions to nonextensive quantum statistical mechanics. Working in the optimal Lagrangian multipliers representation, the $q$-spectral properties and the methods for a direct…

Statistical Mechanics · Physics 2008-09-07 A. Cavallo , F. Cosenza , L. De Cesare

We demonstrate an efficient nonequilibrium Green's function transport calculation procedure based on the real-space finite-difference method. The direct inversion of matrices for obtaining the self-energy terms of electrodes is…

Materials Science · Physics 2024-01-09 Tomoya Ono , Yoshiyuki Egami , Kikuji Hirose

Starting from the Dyson-Beliaev and generalized Gross-Pitaevskii equations with an extra nonlocal potential, we derive an exact expression of the two-particle Green's function K for an interacting Bose-Einstein condensate in terms of…

Quantum Gases · Physics 2014-11-21 Takafumi Kita
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