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We present a systematic derivation of effective lattice spin Hamiltonians derived from a rotationally invariant multi-orbital Hubbard model including a term ensuring Hund's rule coupling. The Hamiltonians are derived down-folding the…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 Markus Hoffmann , Stefan Blügel

Starting from the full many-body Hamiltonian of interacting electrons the effective self-energy acting on electrons residing in a subspace of the full Hilbert space is derived. This subspace may correspond to, for example, partially filled…

Strongly Correlated Electrons · Physics 2010-10-20 F. Aryasetiawan , J. M. Tomczak , T. Miyake , R. Sakuma

Motivated by recent neutron and x-ray observations in V$_2$O$_3$, we derive the effective Hamiltonian in the strong coupling limit of an Hubbard model with three degenerate t_{2g} states containing two electrons coupled to spin S = 1, and…

Strongly Correlated Electrons · Physics 2025-04-14 S. Di Matteo , N. B. Perkins , C. R. Natoli

We investigate an extended version of the periodic Anderson model (the so-called periodic Anderson-Hubbard model) with the aim to understand the role of interaction between conduction electrons in the formation of the heavy-fermion and…

Strongly Correlated Electrons · Physics 2013-05-30 I. Hagymasi , K. Itai , J. Solyom

We present rigorous results for several variants of the Hubbard model in the strong-coupling regime. We establish a mathematically controlled perturbation expansion which shows how previously proposed effective interactions are, in fact,…

Mathematical Physics · Physics 2015-06-26 Nilanjana Datta , Roberto Fernandez , Juerg Froehlich

A simple effective model for a description of magnetically ordered insulators is analysed. The tight binding Hamiltonian consists of the effective on-site interaction (U) and intersite magnetic exchange interactions (Jz, Jxy) between…

Strongly Correlated Electrons · Physics 2012-05-01 Waldemar Kłobus , Konrad Kapcia , Stanisław Robaszkiewicz

Motivated by the recent experimental evidence of commensurate surface CDW in Pb/Ge(111) and Sn/Ge(111) $\sqrt{3}$-adlayer structures, as well as by the insulating states found on K/Si(111):B and SiC(0001), we have investigated the role of…

Strongly Correlated Electrons · Physics 2009-10-31 G. Santoro , S. Sorella , F. Becca , S. Scandolo , E. Tosatti

Ca$_{3}$Ru$_{2}$O$_{7}$ is a fascinating material that displays physical properties governed by spin-orbit interactions and structural distortions, showing a wide range of remarkable electronic phenomena. Here, we present a…

Materials Science · Physics 2023-10-23 A. M León , J. W. González , H. Rosner

Starting from the Fock space representation of hadron bound states in a quark model, a change of representation is implemented by a unitary transformation such that the composite hadrons are redescribed by elementary-particle field…

High Energy Physics - Phenomenology · Physics 2010-11-19 D. Hadjimichef , G. Krein , S. Szpigel , J. S. da Veiga

The five-band Hubbard model for a $d$ band with one electron per site is a model which has very interesting properties when the relevant ions are located at sites with high (e. g. cubic) symmetry. In that case, if the crystal field…

Strongly Correlated Electrons · Physics 2009-11-10 A. B. Harris , T. Yildirim , A. Aharony , O. Entin-Wohlman , I. Ya. Korenblit

Zero-seniority methods have shown great promise for the description of strongly-correlated electronic systems. Other seniority sectors have been much less explored, and in particular the maximal seniority sector and zero seniority have the…

Strongly Correlated Electrons · Physics 2026-04-22 Thomas M Henderson , Guo P. Chen , Gustavo E. Scuseria

A novel effective Hamiltonian in the subspace of singly occupied states is obtained by applying the Gutzwiller projection approach to a generalized Hubbard model with the interactions between two nearest- neighbor sites. This model provides…

Strongly Correlated Electrons · Physics 2017-03-27 Tao Sun

We have studied the extended Hubbard model in the atomic limit. The Hamiltonian analyzed consists of the effective on-site interaction U and the intersite density-density interactions Wij (both: nearest-neighbour and…

Strongly Correlated Electrons · Physics 2015-03-17 Konrad Kapcia , Stanisław Robaszkiewicz

The atomistic Hubbard interaction U, representing the on-site Coulomb repulsion, serves as a pivotal parameter in theoretical models describing of correlated systems, yet its precise experimental determination especially in moir\'e systems…

Mesoscale and Nanoscale Physics · Physics 2026-02-24 Nachiket Tanksale , Tobias Stauber

The addition to the Hubbard Hamiltonian of a t' diagonal hopping term, which is considered to be material dependent for high-Tc cuprate superconductors, is generally suggested to obtain a model capable to describe the physics of high-Tc…

Superconductivity · Physics 2009-10-30 Adolfo Avella , Ferdinando Mancini , Dario Villani , Hideki Matsumoto

With the purpose of investigating coexistence between magnetic order and superconductivity, we consider a model in which conduction electrons interact with each other, via an attractive Hubbard on-site coupling $U$, and with local moments…

Superconductivity · Physics 2018-12-18 N. C. Costa , J. P. Lima , T. C. L. Paiva , M. ElMassalami , R. R. dos Santos

A 1D model hamiltonian that is motivated by the recent discovery of the heavy-fermion behavior in the cuprates of the $Nd_2CuO_4$ type is studied. It consists of $t-J$ interacting conduction electrons coupled to a lattice of localized spins…

Condensed Matter · Physics 2009-10-28 Samuel Moukouri , Liang Chen , Laurent G. Caron

The Hubbard model with strong correlations is treated in the many-electron representation of Hubbard's operators. The regions of stability of saturated and non-saturated ferromagnetism in the n-U plane for the square and simple cubic…

Strongly Correlated Electrons · Physics 2011-01-25 V. Yu. Irkhin , A. V. Zarubin

A moir\'{e} system is formed when two periodic structures have a slightly mismatched period, resulting in unusual strongly correlated states in the presence of particle-particle interactions. The periodic structures can arise from the…

Strongly Correlated Electrons · Physics 2024-05-01 R. Wang , Z. Song

The properties of a dilute electron gas, coupled to the lattice degrees of freedom, are studied and compared with the properties of an electron gas at half-filling, where spinless fermions with two orbitals per lattice site are considered.…

Strongly Correlated Electrons · Physics 2007-05-23 D. Schneider , K. -H. Höck , K. Ziegler