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In this work, we investigate the characteristics of the electric current in the so-called symmetric Anderson impurity model. We study the nonequilibrium model using two complementary approximate methods, the perturbative quantum master…

Mesoscale and Nanoscale Physics · Physics 2019-07-04 Amikam Levy , Lyran Kidon , Jakob Bätge , Junichi Okamoto , Michael Thoss , David T. Limmer , Eran Rabani

The Green's function method has applications in several fields in Physics, from classical differential equations to quantum many-body problems. In the quantum context, Green's functions are correlation functions, from which it is possible…

Mesoscale and Nanoscale Physics · Physics 2016-10-14 Mariana M. Odashima , Beatriz G. Prado , E. Vernek

A double-quantum-dot coupled to electrodes with spin-dependent splitting of chemical potentials (spin bias) is investigated theoretically by means of the Green's functions formalism. By applying a large spin bias, the quantum spin in a…

Mesoscale and Nanoscale Physics · Physics 2008-06-16 Hai-Zhou Lu , Shun-Qing Shen

In this paper, we build on the work of [T. Hughes, G. Sangalli, VARIATIONAL MULTISCALE ANALYSIS: THE FINE-SCALE GREENS' FUNCTION, PROJECTION, OPTIMIZATION, LOCALIZATION, AND STABILIZED METHODS, SIAM Journal of Numerical Analysis, 45(2),…

Numerical Analysis · Mathematics 2024-02-20 Suyash Shrestha , Joey Dekker , Marc Gerritsma , Steven Hulshoff , Ido Akkerman

We improved the decoupling approximation of the double-time Green's function theory, and applied it to study the spin-${1\over 2}$ two-dimensional antiferromagnetic Heisenberg model with broken bonds at finite temperature. Our decoupling…

Strongly Correlated Electrons · Physics 2009-10-31 Yun Song , H. Q. Lin , Jue-Lian Shen

We present an ongoing development of an existing code for calculating ground-state, steady-state, and transient properties of many-particle systems. The development involves the addition of the full four-index two electron integrals, which…

Mesoscale and Nanoscale Physics · Physics 2016-05-04 Richard A. Lynn , Robert van Leeuwen

The retarded Green function of a wave equation on a 4-dimensional curved background spacetime is a (generalized) function of two spacetime points and diverges when these are connected by a null geodesic. The Hadamard form makes explicit the…

General Relativity and Quantum Cosmology · Physics 2023-08-17 Marc Casals , Brien Nolan

The behaviour of ferromagnetic systems with single-ion anisotropies in more than one direction is investigated with many-body Green's function theory generalizing earlier work with uniaxial anisotropies only. It turns out to be of advantage…

Statistical Mechanics · Physics 2009-11-10 Huai-Yu Wang , Zhen-Hong Dai , P. Fröbrich , P. J. Jensen , P. J. Kuntz

We derive an exact expression for the differential conductance for a quantum dot in an arbitrary magnetic field for small bias voltage. The derivation is based on the symmetric Anderson model using renormalized perturbation theory and is…

Strongly Correlated Electrons · Physics 2009-11-11 A. C. Hewson , J. Bauer , A. Oguri

We present theoretical results for the backaction force noise and damping of a mechanical oscillator whose position is measured by a mesoscopic conductor. Our scattering approach is applicable to a wide class of systems; in particular, it…

Mesoscale and Nanoscale Physics · Physics 2011-05-10 Steven D. Bennett , Jesse Maassen , Aashish A. Clerk

Using Keldysh nonequilibrium Green's function method we study the spin-dependent transport through impurity-doped few layer graphene sandwiched between two magnetic leads with an arbitrary mutual orientations of the magnetizations. We find…

Materials Science · Physics 2015-05-20 Kai-He Ding , Zhen-Gang Zhu , Zhen-Hua Zhang , Jamal Berakdar

We developed a set of equations to calculate the electronic Green's functions in a T-shaped multi-quantum dot system using the equation of motion method. We model the system using a generalized Anderson Hamiltonian which accounts for {\em…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 I. Tifrea , G. Pal , M. Crisan

Previous work in the literature has studied gravitational radiation in black-hole collisions at the speed of light. In particular, it had been proved that the perturbative field equations may all be reduced to equations in only two…

Astrophysics · Physics 2018-10-17 Giampiero Esposito

We study the dynamics of a non-magnetic impurity interacting with the surface states of a 3D and 2D topological insulator. Employing the linked cluster technique we develop a formalism for obtaining the Greens function of the mobile…

Strongly Correlated Electrons · Physics 2020-08-26 Ajit Kumar Sorout , Surajit Sarkar , Suhas Gangadharaiah

The Anderson model for a single impurity coupled to two leads is studied using the $GW$ approximation in the strong electron-electron interaction regime as a function of the alignment of the impurity level relative to the chemical…

Strongly Correlated Electrons · Physics 2015-05-13 Catalin D. Spataru , Mark S. Hybertsen , Steven G. Louie , Andrew J. Millis

We study superconducting transport in homogeneous wires in the cases of both equilibrium and nonequilibrium quasiparticle populations, using the quasiclassical Green's function technique. We consider superconductors with arbitrary current…

Superconductivity · Physics 2007-05-23 J. Sánchez-Cañizares , F. Sols

We study classical binary fluid mixtures in which densities vary on very short time (ps) and length (nm) scales, such that hydrodynamics does not apply. In a pure fluid with a localized heat pulse the breakdown of hydrodynamics was overcome…

Statistical Mechanics · Physics 2007-05-23 R. van Zon , E. G. D. Cohen

Structure and coordinate dependence of the reflected wave, as well as boundary conditions for quasi-particles of graphene and the two dimensional electron gas in sheets with abrupt lattice edges are obtained and analyzed by the Green's…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 A. M. Kadigrobov

Using a path integral approach and bosonization, we calculate the low energy asymptotics of the one particle Green's function for a ``magnetically incoherent'' one dimensional strongly interacting electron gas at temperatures much greater…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gregory A. Fiete , Leon Balents

Equal-time Green's function is used to derive a three-dimensional integral equation from the Bethe-Salpeter equation. The resultant equation, in the absence of anti-particles, is identical to the use of time-ordered diagrams, and has been…

Nuclear Theory · Physics 2008-11-26 A. D. Lahiff , I. R. Afnan