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Correlated electron systems with competing interactions provide a valuable platform for examining exotic magnetic phases. Theoretical models often focus on nearest-neighbor interactions, although long-range interactions can have a…

Strongly Correlated Electrons · Physics 2025-03-28 Sudip Mandal , Sandip Halder , Kalpataru Pradhan

It is believed that strong ferromagnetic orders in some solids are generated by subtle interplay between quantum many-body effects and spin-independent Coulomb interactions between electrons. Here we describe our rigorous and constructive…

Strongly Correlated Electrons · Physics 2009-11-10 Hal Tasaki

It has been demonstrated that small plaquettes of quantum dot spin qubits are capable of simulating condensed matter phenomena which arise from the Hubbard model, such as the collective Coulomb blockade and Nagaoka ferromagnetism. Motivated…

Mesoscale and Nanoscale Physics · Physics 2023-12-08 Donovan Buterakos , Sankar Das Sarma

We use density matrix renormalization group to investigate the phase diagram of the Fermi Hubbard model on a triangular lattice with densities above half-filling, $1 \leq n < 2$. We discuss the important role of kinetic magnetism and…

Strongly Correlated Electrons · Physics 2024-02-23 Ivan Morera , Eugene Demler

The influence of a nearest-neighbor Coulomb repulsion of strength V on the properties of the Ferromagnetic Kondo model is analyzed using computational techniques. The Hamiltonian studied here is defined on a chain using localized S=1/2…

Strongly Correlated Electrons · Physics 2009-10-31 A. L. Malvezzi , S. Yunoki , E. Dagotto

The ground--state magnetic phase diagram is investigated for the two-- and three--dimensional $t$--$t'$ Hubbard model. We take into account commensurate ferro--, antiferromagnetic, and incommensurate (spiral) magnetic phases, as well as…

Strongly Correlated Electrons · Physics 2018-04-02 P. A. Igoshev , M. A. Timirgazin , V. F. Gilmutdinov , A. K. Arzhnikov , V. Yu. Irkhin

We study a one-dimensional extended Hubbard model with longer-range Coulomb interactions at quarter-filling in the strong coupling limit. We find two different charge-ordered ground states as the strength of the longer range interactions is…

Strongly Correlated Electrons · Physics 2016-08-31 M. S. Laad , S. Lal

Nagaoka's theorem on ferromagnetism in the Hubbard model with one electron less than half filling is generalized to the case where all possible nearest-neighbor Coulomb interactions (the density-density interaction $V$, bond-charge…

Condensed Matter · Physics 2009-10-28 Marcus Kollar , Rainer Strack , Dieter~Vollhardt

Quantum interference can deeply alter the nature of many-body phases of matter. In the paradigmatic case of the Hubbard model, Nagaoka famously proved that introducing a single itinerant charge can transform a paramagnetic insulator into a…

The search for ferromagnetism in the Hubbard model has been a problem of outstanding interest since Nagaoka's original proposal in 1966. Recent advances in quantum simulation have today enabled the study of tunable doped Hubbard models in…

Strongly Correlated Electrons · Physics 2024-11-25 Rhine Samajdar , R. N. Bhatt

We use unrestricted Hartree-Fock, density matrix renormalization group, and variational projected entangled pair state calculations to investigate the ground state phase diagram of the triangular lattice Hubbard model at "half doping"…

Strongly Correlated Electrons · Physics 2026-01-12 Yuchi He , Roman Rausch , Matthias Peschke , Christoph Karrasch , Philippe Corboz , Nick Bultinck , S. A. Parameswaran

Long-range interactions can qualitatively reorganize correlated-electron ground states. In the square-lattice Hubbard model, on-site repulsion produces antiferromagnetic spin and charge stripes upon doping. We show that including a…

Strongly Correlated Electrons · Physics 2026-03-16 Chunhan Feng , Miguel A. Morales , Shiwei Zhang

We provide solid evidence for the long-standing presumption that model Hamiltonians with short-range interactions faithfully reproduce the physics of the long-range Coulomb interaction in real materials. For this aim, we address a generic…

Strongly Correlated Electrons · Physics 2025-06-09 Florian Gebhard , Kevin Bauerbach , Örs Legeza

Whether spin-independent Coulomb interaction can be the origin of a realistic ferromagnetism in an itinerant electron system has been an open problem for a long time. Here we study a class of Hubbard models on decorated lattices, which have…

Condensed Matter · Physics 2009-10-22 Andreas Mielke , Hal Tasaki

Since its introduction in 1963, the Hubbard model has becomes one of the most popular models used in the literature to study cooperative phenomena in narrow-band metals (ferromagnetism, metal-insulator transitions, charge-density waves,…

Strongly Correlated Electrons · Physics 2021-12-21 P. Farkašovský

We present different numerical calculations based on variational quantum Monte Carlo simulations supporting a ferromagnetic ground-state for finite and small hole densities in the two-dimensional infinite-$U$ Hubbard model. Moreover, by…

Strongly Correlated Electrons · Physics 2009-11-07 Federico Becca , Sandro Sorella

We propose a new mechanism which can lead to ferromagnetism in Hubbard models containing triangles with different on-site energies. It is based on an effective Hamiltonian that we derive in the strong coupling limit. Considering a…

Condensed Matter · Physics 2009-02-28 Karlo Penc , Hiroyuki Shiba , Frédéric Mila , Takuya Tsukagoshi

We explore the two-dimensional extended Hubbard model on the triangular lattice in the high doping regime. On-site and nearest-neighbour repulsive interactions are treated in a non-perturbative way by means of Extended Dynamical Mean Field…

Strongly Correlated Electrons · Physics 2017-09-26 Sophie Chauvin , Thomas Ayral , Lucia Reining , Silke Biermann

We derive a "Wannier-Hubbard" model consisting of an array of overlapping atomic orbitals interacting via a local Coulomb interaction. Transforming to an orthogonal Wannier basis set, the resulting Hamiltonian displays long range hopping…

Strongly Correlated Electrons · Physics 2022-07-27 Samuel Milner , Phillip Weinberg , Adrian Feiguin

Ground state properties of the repulsive Hubbard model on a cubic lattice are investigated by means of the auxiliary-field quantum Monte Carlo method. We focus on low-density systems with varying on-site interaction $U/t$, as a model…

Quantum Gases · Physics 2010-12-30 Chia-Chen Chang , Shiwei Zhang , David M. Ceperley
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