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There are, among others, currently two important views on the non-perturbative structure of Yang-Mills theory. One is through topological configurations and one is through Green's functions, in particular their (asymptotic) infrared…

High Energy Physics - Lattice · Physics 2009-06-25 Axel Maas

We construct a simple holographic model incorporating higher-order coupling terms for electron self-interactions. It can exhibit typical behavior of a Mott insulator, including a metal-insulator transition and a decrease in DC conductivity…

Strongly Correlated Electrons · Physics 2026-02-23 Lin-Yue Bai , René Meyer , Zhen-Hua Zhou

The spectral properties of the quantum mechanical system consisting of a quantum dot with a short-range attractive impurity inside the dot are investigated in the zero-range limit. The Green function of the system is obtained in an explicit…

Mathematical Physics · Physics 2007-05-23 J. Bruening , V. Geyler , I. Lobanov

We investigate the effect of electronic correlations onto the thermoelectricity of semi-conductors and insulators. Appealing to model considerations, we study various many-body renormalizations that enter the thermoelectric response. We…

Materials Science · Physics 2010-08-13 Jan M. Tomczak , K. Haule , T. Miyake , A. Georges , G. Kotliar

Strong electronic correlations are often associated with the proximity of a Mott insulating state. In recent years however, it has become increasingly clear that the Hund's rule coupling (intra-atomic exchange) is responsible for strong…

Strongly Correlated Electrons · Physics 2013-03-20 Antoine Georges , Luca de' Medici , Jernej Mravlje

The imaginary-time Green's function is a building block of various numerical methods for correlated electron systems. Recently, it was shown that a model-independent compact orthogonal representation of the Green's function can be…

Strongly Correlated Electrons · Physics 2018-07-09 Naoya Chikano , Junya Otsuki , Hiroshi Shinaoka

It is shown that for monolayer graphene electrons are confined on a perfect two dimensional surface. The implications for the electronic properties of corrugated graphene are discussed in view of a derivation of the constrained relativistic…

Materials Science · Physics 2015-05-18 Victor Atanasov , Avadh Saxena

Energy functionals of the Green's function can simultaneously provide spectral and thermodynamic properties of interacting electrons' systems. Though powerful in principle, these formulations need to deal with dynamical…

Materials Science · Physics 2024-05-28 Tommaso Chiarotti , Andrea Ferretti , Nicola Marzari

We study thermoelectric transport through double quantum dots system with spin-dependent interdot coupling and ferromagnetic electrodes by means of the non-equilibrium Green function in the linear response regime. It is found that the…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Qiang Wang , Haiqing Xie , Hujun Jiao , Zhi-Jian Li , Yi-Hang Nie

We formulate the theory of an extremely correlated electron liquid, generalizing the standard Fermi liquid. This quantum liquid has specific signatures in various physical properties, such as the Fermi surface volume and the narrowing of…

Strongly Correlated Electrons · Physics 2010-01-22 B Sriram Shastry

The description of interactions in strongly-correlated topological phases of matter remains a challenge. Here, we develop a stochastic functional approach for interacting topological insulators including both charge and spin channels. We…

Strongly Correlated Electrons · Physics 2021-08-18 Joel Hutchinson , Philipp W. Klein , Karyn Le Hur

The electronic structure of Mott insulators continues to be a major unsolved problem in physics despite more than half-century of intense research efforts. Well-developed momentum-resolved spectroscopies such as photoemission or neutron…

Strongly Correlated Electrons · Physics 2009-11-07 M. Z. Hasan , E. D. Isaacs , Z-X. Shen , L. L. Miller , K. Tsutsui , T. Tohyama , S. Maekawa

The interaction driven transition between quantum spin-Hall and Mott insulators in the Bernevig, Hughes and Zhang model is studied by dynamical cluster approximation, and found to be accompanied by the emergence of Green's function zeros…

Strongly Correlated Electrons · Physics 2024-07-15 Ivan Pasqua , Andrea Blason , Michele Fabrizio

There is a class of electronic liquids in dimensions greater than one, which show all essential properties of one dimensional electronic physics. These are topological liquids - correlated electronic systems with a spectral flow.…

Strongly Correlated Electrons · Physics 2009-10-31 P. B. Wiegmann

Introducing the fermionic R-operator and solutions of the inverse scattering problem for local fermion operators, we derive a multiple integral representation for zero-temperature correlation functions of a one-dimensional interacting…

Statistical Mechanics · Physics 2011-11-10 Kohei Motegi , Kazumitsu Sakai

The role of inhomegeneity in determining the properties of correlated electron systems is poorly understood because of the dearth of structural probes of disorder at the nanoscale. Advances in both neutron and x-ray scattering…

Strongly Correlated Electrons · Physics 2025-03-19 Raymond Osborn , Damjan Pelc , Matthew Krogstad , Stephan Rosenkranz , Martin Greven

An influence of the localization of itinerant electrons induced by correlated hopping on the electronic charge and heat transport is discussed for the lightly doped Mott insulator phase of the Falicov-Kimball model. The case of strongly…

Strongly Correlated Electrons · Physics 2020-03-05 D. A. Dobushovskyi , A. M. Shvaika

We present a formalism for strongly correlated electrons systems which consists in a local approximation of the dynamical three-leg interaction vertex. This vertex is self-consistently computed with a quantum impurity model with dynamical…

Strongly Correlated Electrons · Physics 2016-04-01 Thomas Ayral , Olivier Parcollet

We study the many-body physics of different quantum systems using a hierarchy of correlations, which corresponds to a generalization of the $1/\mathcal{Z}$ hierarchy. The decoupling scheme obtained from this hierarchy is adapted to…

Strongly Correlated Electrons · Physics 2016-07-27 Álvaro Gómez-León

The quest for efficient devices has fueled research in thermoelectric materials. In these materials, the goal is to maximize the Figure of Merit $ZT$. One of the components of this quantity is the Seebeck coefficient, which measures the…

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