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The $t$-$J$-$U$ model of high-$T_c$ copper-oxide superconductors incorporates both the on-site Coulomb repulsion and kinetic exchange interaction and yields a semi-quantitative description of the static properties of those materials. We…

Strongly Correlated Electrons · Physics 2021-09-15 Maciej Fidrysiak , Danuta Goc-Jagło , Józef Spałek

It is shown that the dynamics of a single hole in a quantum antiferromagnet (described by the t--J model) can be simply understood in terms of a composite quasiparticle. This description provides naturally two different energy scales t and…

Condensed Matter · Physics 2009-10-28 P. Beran , D. Poilblanc , R. B. Laughlin

Interacting electrons in a semiconductor quantum dot at strong magnetic fields exhibit a rich set of states, including correlated quantum fluids and crystallites of various symmetries. We develop in this paper a perturbative scheme based on…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gun Sang Jeon , Chia-Chen Chang , Jainendra K. Jain

A new scheme of first-principles computation for strongly correlated electron systems is proposed. This scheme starts from the local-density approximation (LDA) at high-energy band structure, while the low-energy effective Hamiltonian is…

Materials Science · Physics 2007-05-23 Yoshiki Imai , Igor V. Solovyev , Masatoshi Imada

Heavy electrons in superconducting materials are widely studied with the Kondo lattice t-J model. Numerical results have shown that the Fermi surface of these correlated particles undergoes a flattening effect according to the coupling…

Starting from the Dirac equation in external electromagnetic and torsion fields we derive a path integral representation for the corresponding propagator. An effective action, which appears in the representation, is interpreted as a…

High Energy Physics - Theory · Physics 2016-12-28 Bodo Geyer , Dmitry Gitman , Ilya Shapiro

In this contribution we study the accuracy of various forms of electron effective mass equation in reproducing spectral and spin-related features of quantum dot systems. We compare the results of the standard 8 band k.p model to those…

Mesoscale and Nanoscale Physics · Physics 2019-05-07 A. Mielnik-Pyszczorski , K. Gawarecki , P. Machnikowski

We develop a non-perturbative method for calculating partition functions of strongly coupled quantum mechanical systems with interactions between subsystems described by a path integral of a dual system. The dual path integral is derived…

High Energy Physics - Theory · Physics 2021-03-09 Vitaly Vanchurin

The t-J model is studied using a novel and rigorous mapping of the Gutzwiller projected electrons, in terms of canonical electrons. The mapping has considerable similarity to the Dyson-Maleev transformation relating spin operators to…

Strongly Correlated Electrons · Physics 2014-02-28 B Sriram Shastry

The self-energy-functional approach (SFA) is discussed in the context of different variational principles for strongly correlated electron systems. Formal analogies between static and dynamical variational approaches, different types of…

Strongly Correlated Electrons · Physics 2015-06-25 Michael Potthoff

A coherent state representation for the electrons of ordered antiferromagnets is used to derive effective Hamiltonians for the dynamics of holes in such systems. By an appropriate choice of these states, the constraint of forbidden double…

Strongly Correlated Electrons · Physics 2009-10-31 W. Apel , H. -U. Everts , U. Koerner

A two chain ladder model is considered described by the strong coupling $t-t^\prime-J-J^\prime$ Hamiltonian. For the case of two holes moving in a background of antiferromagnetically interacting spins, exact, analytical results are derived…

Strongly Correlated Electrons · Physics 2009-10-31 Indrani Bose , Saurabh Gayen

We use the exact strong-interaction limit of the Hohenberg-Kohn energy density functional to approximate the exchange-correlation energy of the restricted Kohn-Sham scheme. Our approximation corresponds to a highly non-local density…

Strongly Correlated Electrons · Physics 2012-12-12 Francesc Malet , Paola Gori-Giorgi

The physics of doped Mott insulators is at the heart of strongly correlated materials and is believed to constitute an essential ingredient for high-temperature superconductivity. In systems with higher SU(N) spin symmetries, even richer…

Strongly Correlated Electrons · Physics 2024-10-02 Henning Schlömer , Fabian Grusdt , Ulrich Schollwöck , Kaden R. A. Hazzard , Annabelle Bohrdt

We review theoretical concepts and models for materials with strongly correlated d- or f electrons. We discuss low-energy effective models and the renormalized band method for Ce-based Kondo lattice systems. They are applied to the analysis…

Strongly Correlated Electrons · Physics 2007-05-23 Peter Fulde , Peter Thalmeier , Gertrud Zwicknagl

Various properties of the general two-center two-electron integral over the explicitly correlated exponential function are analyzed for the potential use in high precision calculations for diatomic molecules. A compact one dimensional…

Chemical Physics · Physics 2015-06-11 Krzysztof Pachucki

I argue that there is a connection between quantum antiferromagnetism and the strong interactions. The underlying idea is that the t-J Hamiltonian and other models commonly studied in the context of cuprate superconductivity are near a…

Strongly Correlated Electrons · Physics 2007-05-23 R. B. Laughlin

We formulate the calculation of the ground-state wavefunction and energy of a system of strongly correlated electrons in terms of scattering matrices. A hierarchy of approximations is introduced which results in an incremental expansion of…

Condensed Matter · Physics 2009-10-31 P. Fulde , H. Stoll , K. Kladko

Unconventional superconductivity (SC) is said to occur when Cooper pair formation is dominated by repulsive electron-electron interactions, so that the symmetry of the pair wavefunction is other than isotropic s-wave. The strong, on-site,…

Superconductivity · Physics 2016-06-22 J. C. Séamus Davis , Dung-Hai Lee

The understanding of the mechanisms responsible for superconductivity in strongly correlated systems is an interesting and important subject in condensed matter physics. Several theoretical proposals were considered for these systems. The…

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