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We study the high- and low-voltage properties of the out-of-equilibrium Anderson model for quantum dots, using a functional method in the Keldysh formalism. The Green's function at the impurity site can be regarded as a functional of a…

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

We extend an approximation earlier developed by us for the single-impurity Anderson model to a full-size impurity solver for models of interacting electrons with multiple orbitals. The approximation is based on parquet equations simplified…

Strongly Correlated Electrons · Physics 2011-05-20 Pavel Augustinsky , Vaclav Janis

We use the slave-spin mean-field approach to study particle-hole symmetric one- and two-band Hubbard models in presence of Hund's coupling interaction. By analytical analysis of Hamiltonian, we show that the locking of the two orbitals…

Strongly Correlated Electrons · Physics 2017-09-13 Yashar Komijani , Gabriel Kotliar

We introduce a quantum dot orbital tight-binding non-equilibrium Green's function approach for the simulation of novel solar cell devices where both absorption and conduction are mediated by quantum dot states. By the use of basis states…

Mesoscale and Nanoscale Physics · Physics 2012-06-14 U. Aeberhard

Near-term quantum processors are limited in terms of the number of qubits and gates they can afford. They nevertheless give unprecedented access to programmable quantum systems that can efficiently, although imperfectly, simulate quantum…

Strongly Correlated Electrons · Physics 2025-11-25 Thomas Ayral

The investigation of quantum impurity models plays a crucial role in condensed matter physics because of their wide-ranging applications, such as embedding theories and transport problems. Traditional methods often fall short of producing…

Strongly Correlated Electrons · Physics 2025-08-14 Yang Yu , André Erpenbeck , Dominika Zgid , Guy Cohen , Olivier Parcollet , Emanuel Gull

Recent studies of dynamical screening of the electronic Coulomb interactions in solids have revived interest in lattice models of correlated fermions coupled to bosonic degrees of freedom (Hubbard-Holstein-type models). We propose a…

Strongly Correlated Electrons · Physics 2015-04-30 Igor S. Krivenko , Silke Biermann

We propose an improved fast multi-orbital impurity solver for the dynamical mean field theory (DMFT) based on equations of motion (EOM) of Green's functions and decoupling scheme. In this scheme the inter-orbital Coulomb interactions are…

Strongly Correlated Electrons · Physics 2015-05-30 Qingguo Feng , P. M. Oppeneer

The accurate determination of the electronic structure of strongly correlated materials using first principle methods is of paramount importance in condensed matter physics, computational chemistry, and material science. However, due to the…

Solving the single-impurity Anderson model (SIAM) is a basic problem of solid state physics. The SIAM model is very important, at present it is also used for systems with quantum impurities, e.g. semiconductor quantum dots and molecular…

Strongly Correlated Electrons · Physics 2023-07-19 Grzegorz Górski , Jerzy Mizia , Krzysztof Kucab

We examine a model of $M$-component quantum rotors coupled by Gaussian-distributed random, infinite-range exchange interactions. A complete solution is obtained at $M=\infty$ in the spin-glass and quantum-disordered phases. The quantum…

Condensed Matter · Physics 2009-01-23 Jinwu Ye , Subir Sachdev , N. Read

In this paper, we use the theory of fractional powers of linear operators to construct a general (analytic) representation theory for the square-root energy operator of relativistic quantum theory, which is valid for all values of the spin.…

Quantum Physics · Physics 2009-11-10 T. L. Gill , W. W. Zachary

The Green's function formalism in Condensed Matter Physics is reviewed within the equation of motion approach. Composite operators and their Green's functions naturally appear as building blocks of generalized perturbative approaches and…

Statistical Mechanics · Physics 2007-05-23 Ferdinando Mancini , Adolfo Avella

The construction of good effective models is an essential part of understanding and simulating complex systems in many areas of science. It is a particular challenge for correlated many body quantum systems displaying emergent physics. We…

Strongly Correlated Electrons · Physics 2020-07-01 Jonas B. Rigo , Andrew K. Mitchell

We present numerical solutions of the spectral functions of $t$-$J$ models with random and all-to-all exchange and global SU($M$) spin rotation symmetry. The solutions are obtained from the saddle-point equations of the large volume limit,…

Strongly Correlated Electrons · Physics 2021-03-03 Maria Tikhanovskaya , Haoyu Guo , Subir Sachdev , Grigory Tarnopolsky

We consider the cumulant expansion of the PAM employing the hybridization as perturbation (Phys. Rev. B 50, 17933 (1994)), and we obtain formally exact one-electron Green's functions (GF). These GF contain effective cumulants that are as…

Strongly Correlated Electrons · Physics 2010-07-13 M. E. Foglio , T. Lobo , M. S. Figueira

We study transport across a magnetic impurity by means of a recently developed slave-spin technique that does not require any constraint. Within a conserving mean-field approximation we find a conductance that displays both the known…

Mesoscale and Nanoscale Physics · Physics 2019-06-07 Daniele Guerci

We show that the two-impurity Anderson model exhibits an additional quantum critical point at infinitely many specific distances between both impurities for an inversion symmetric one-dimensional dispersion. Unlike the quantum critical…

Strongly Correlated Electrons · Physics 2018-08-24 Benedikt Lechtenberg , Fabian Eickhoff , Frithjof B. Anders

Dynamical mean-field theory (DMFT) is one of the most widely-used methods to treat accurately electron correlation effects in ab-initio real material calculations. Many modern large-scale implementations of DMFT in electronic structure…

Strongly Correlated Electrons · Physics 2019-06-05 Evan Sheridan , Cedric Weber , Evgeny Plekhanov , Christopher Rhodes

Exact critical exponents of the Green functions for pseudo-fermions and slave bosons in the SU($N$) Anderson model with $U\rightarrow\infty$ are obtained by using the Bethe ansatz solution and boundary conformal field theory. They are…

Condensed Matter · Physics 2009-10-28 S. Fujimoto , N. Kawakami , S. -K. Yang
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