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Strongly correlated materials feature multiple electronic orbitals which are crucial to accurately understand their many-body properties, from cuprate materials to twisted bilayer graphene. In such multi-band models, quantum interference…

Using the Density Matrix Renormalization Group and two-leg ladders, we investigate an electronic two-orbital Hubbard model including plaquette diagonal hopping amplitudes. Our goal is to search for regimes where charges added to the undoped…

Strongly Correlated Electrons · Physics 2015-05-18 J. C. Xavier , G. Alvarez , A. Moreo , E. Dagotto

We study a two species fermion mixture with different populations on a square lattice modeled by a Hubbard Hamiltonian with on-site inter-species repulsive interaction. Such a model can be realized in a cold atom system with fermionic atoms…

Strongly Correlated Electrons · Physics 2013-02-25 Chen-Yen Lai , Chuntai Shi , Shan-Wen Tsai

We examine the nature of the transition to the antiferromagnetically ordered state in the half-filled three-dimensional Hubbard model using the dual-fermion multiscale approach. Consistent with analytics, in the weak-coupling regime we find…

Strongly Correlated Electrons · Physics 2015-10-14 Daniel Hirschmeier , Hartmut Hafermann , Emanuel Gull , Alexander I. Lichtenstein , Andrey E. Antipov

We consider repulsively-interacting cold fermionic atoms loaded on an optical ladder lattice in a trapping potential. The density-matrix renormalization-group method is used to numerically calculate the ground state for systematically…

Quantum Gases · Physics 2011-04-25 M. Okumura , S. Yamada , M. Machida , H. Aoki

We theoretically show the possibility to induce magnetic ordering in non-magnetic one-dimensional systems of strongly interacting electrons hopping on a tight-binding lattice. Our analysis is provided within the framework of the t1-t2…

Strongly Correlated Electrons · Physics 2013-06-06 Giuseppe Della Valle , Stefano Longhi

We present a version of the Hubbard model with a gapless nearly-flat lowest band which exhibits ferromagnetism in two or more dimensions. The model is defined on a lattice obtained by placing a site on each edge of the hypercubic lattice,…

Strongly Correlated Electrons · Physics 2018-01-17 Akinori Tanaka

Strongly interacting fermionic systems host a variety of interesting quantum many-body states with exotic excitations. For instance, the interplay of strong interactions and the Pauli exclusion principle can lead to Stoner ferromagnetism,…

Quantum Gases · Physics 2023-03-01 Felix A. Palm , Mert Kurttutan , Annabelle Bohrdt , Ulrich Schollwöck , Fabian Grusdt

A large class of correlated quantum materials feature strong Hund's coupling. Yet cold-atom quantum simulators have so far focused primarily on single-orbital Fermi-Hubbard systems near a Mott insulator. Here we show that repulsively…

Quantum Gases · Physics 2026-01-29 Haoran Sun , Erhai Zhao , Youjin Deng , W. Vincent Liu

We study magnetic properties of the half-filled Hubbard model on the two-dimensional hexagonal golden-mean tiling. We find that the vertex model of the tiling is bipartite, with a sublattice imbalance of $\sqrt{5}/(6\tau^3)$ (where $\tau$…

Strongly Correlated Electrons · Physics 2022-03-23 Akihisa Koga , Sam Coates

The extrapolation of small-cluster exact-diagonalization calculations is used to examine ferromagnetism in the one-dimensional Hubbard model with a generalized type of hopping. It is found that the long-range hopping with power decaying…

Strongly Correlated Electrons · Physics 2009-11-07 Pavol Farkasovsky

We study a ferromagnetic instability in a single-band Hubbard model on the hypercubic lattice away from half filling. Using dynamical mean-field theory with the continuous-time quantum Monte Carlo simulations based on the segment algorithm,…

Strongly Correlated Electrons · Physics 2024-06-19 Akihisa Koga , Yusuke Kamogawa , Joji Nasu

We consider an extended Hubbard model of interacting fermions on a lattice. The fermion kinetic energy corresponds to a tight binding Hamiltonian with nearest neighbour (-t) and next nearest neighbour (t') hopping matrix elements. In…

Strongly Correlated Electrons · Physics 2009-10-30 Biplab Chattopadhyay , D. M. Gaitonde

We studied ferromagnetism in the one-dimensional Hubbard model with doubly degenerate atomic orbitals by means of the density-matrix renormalization-group method and obtained the ground-state phase diagrams. It was found that ferromagnetism…

Strongly Correlated Electrons · Physics 2009-11-07 Harumi Sakamoto , Tsutomu Momoi , Kenn Kubo

The pairing properties of ultracold fermions, with an attractive interaction, loaded in a honeycomb (graphene-like) optical lattice are studied in a mean-field approach. We emphasize, in the presence of a harmonic trap, the unambiguous…

Quantum Gases · Physics 2015-06-03 Benoît Grémaud

The ferromagnetism of the checkerboard lattice Hubbard model at quarter filling is one of the few exact ferromagnetic ground states known in the family of Hubbard models. When the nearest neighbor hopping, t1, is negligible compared with…

Superconductivity · Physics 2012-11-16 Yuki Yanagi , Yasufumi Yamashita , Kazuo Ueda

We study Hubbard models for ultracold bosonic or fermionic atoms loaded into an optical lattice. The atoms carry a high spin $F>1/2$, and interact on site via strong repulsive Van der Waals forces. Making convenient rearrangements of the…

Quantum Gases · Physics 2015-05-20 E. Szirmai , M. Lewenstein

We investigate the possibility of ferromagnetic ordering in the non-degenerate Hubbard model on the face-centered cubic lattice within the functional renormalization group technique using temperature as a scale parameter. We assume the…

Strongly Correlated Electrons · Physics 2023-03-07 P. A. Igoshev , A. A. Katanin

The noninteracting electronic structures of tight binding models on bipartite lattices with unequal numbers of sites in the two sublattices have a number of unique features, including the presence of spatially localized eigenstates and flat…

Strongly Correlated Electrons · Physics 2016-10-13 Natanael C. Costa , Tiago Mendes-Santos , Thereza Paiva , Raimundo R. dos Santos , Richard T. Scalettar

We study the Hubbard model on a hypercubic lattice with regard to the possibility of itinerant ferromagnetism. The Dynamical Mean Field theory is used to map the lattice model on an effective local problem, which is treated with help of the…

Strongly Correlated Electrons · Physics 2009-10-30 Thomas Obermeier , Thomas Pruschke , Joachim Keller
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