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SU(N) symmetric fermions on a lattice, which can be realized in ultracold-atom-based quantum simulators, have very promising prospects for realizing exotic states of matter. Here we present the ground state phase diagram of the repulsive…

Strongly Correlated Electrons · Physics 2019-07-31 Sangwoo S. Chung , Philippe Corboz

SU(N) Hubbard models exhibit a rich variety of phases, which may be realized through quantum simulation with ultracold atomic gases in optical lattices. In this work we study the Mott insulating phases of the SU(3) Hubbard model at…

Strongly Correlated Electrons · Physics 2025-06-18 Stijn V. Kleijweg , Philippe Corboz

We perform a variational Gutzwiller calculation to study the ground state of the repulsive SU(3) Hubbard model on the Bethe lattice with infinite coordination number. We construct a ground-state phase diagram focusing on phases with a…

Quantum Gases · Physics 2011-05-05 Akos Rapp , Achim Rosch

We perform large scale projector determinant quantum Monte-Carlo simulations to study the insulating states of the half-filled SU(6) Hubbard model on the square lattice. The transition from the antiferromagnetic state to the valence bond…

Strongly Correlated Electrons · Physics 2019-09-30 Da Wang , Lei Wang , Congjun Wu

We use state-of-the-art numerical techniques to compute ground state correlations in the two-dimensional SU(3) Fermi Hubbard model at $1/3$-filling, modeling fermions with three possible spin flavors moving on a square lattice with an…

Strongly Correlated Electrons · Physics 2023-12-22 Chunhan Feng , Eduardo Ibarra-García-Padilla , Kaden R. A. Hazzard , Richard Scalettar , Shiwei Zhang , Ettore Vitali

We investigate the magnetic and metal-insulator (M-I) phase diagram of the 1/5-depleted square-lattice Hubbard model at 1/4 filling by the mean-field approximation. There exist three magnetic phases of nonmagnetic (N), antiferromagnetic…

Strongly Correlated Electrons · Physics 2013-11-06 Yasufumi Yamashita , Masaki Tomura , Yuki Yanagi , Kazuo Ueda

We employ the determinant projector quantum Monte-Carlo method to investigate the ground state magnetic properties in the Mott insulating states of the half-filled SU(4) and SU(6) Fermi-Hubbard model in the 2D square lattice, which is free…

Strongly Correlated Electrons · Physics 2013-09-09 Zi Cai , Hsiang-Hsuan Hung , Lei Wang , Congjun Wu

We investigate the fermionic SU(N) Hubbard model on the two-dimensional square lattice for weak to moderate interaction strengths using one-loop renormalization group and mean-field methods. For the repulsive case U>0 at half filling and…

Strongly Correlated Electrons · Physics 2007-05-23 Carsten Honerkamp , Walter Hofstetter

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

Quantum simulation platforms have become powerful tools for investigating strongly correlated systems beyond the capabilities of classical computation. Ultracold alkaline-earth atoms and molecules now enable experimental realizations of…

Quantum Gases · Physics 2025-06-03 Annika Böhler , Fabian Grusdt , Annabelle Bohrdt

Ground state magnetic phase diagrams of the square and simple cubic lattices are investigated for the narrow band Hubbard model within the slave-boson approach by Kotliar and Ruckenstein. The transitions between saturated (half-metallic)…

Strongly Correlated Electrons · Physics 2018-05-09 M. A. Timirgazin , P. A. Igoshev , A. K. Arzhnikov , V. Yu. Irkhin

We employ the projector quantum Monte Carlo simulations to study the ground-state properties of the square-lattice SU(4) Hubbard model with a $\pi$ flux per plaquette. In the weak coupling regime, its ground state is in the gapless Dirac…

Quantum Gases · Physics 2018-05-25 Zhichao Zhou , Congjun Wu , Yu Wang

The one-dimensional SU$(n)$ Hubbard model is investigated numerically for $n=2,3,4$, and 5 at half filling and $1/n$ filling using the density-matrix renormalization-group (DMRG) method. The energy gaps and various quantum information…

Strongly Correlated Electrons · Physics 2015-06-25 K. Buchta , Ö. Legeza , E. Szirmai , J. Sólyom

We present magnetic properties of the three-band Hubbard model in the para- and antiferromagnetic phase on a hypercubic lattice calculated with the Dynamical Mean-Field Theory (DMFT). To allow for solutions with broken spin-symmetry we…

Strongly Correlated Electrons · Physics 2009-10-31 Th. Maier , M. B. Zoelfl , Th. Pruschke , J. Keller

We investigate the magnetic properties of a repulsive fermionic SU($3$) Hubbard model on the Lieb lattice from weak to strong interaction by means of the mean-field approximation. To validate the method we employed, we first discuss the…

Strongly Correlated Electrons · Physics 2017-12-25 Wenxing Nie , Deping Zhang , Wei Zhang

We apply the dynamical mean-field approach to the four-component SU(4)-symmetric Fermi-Hubbard model to study transitions between different magnetically ordered phases as well as the hysteresis behavior in the unordered regime. At quarter…

Quantum Gases · Physics 2021-12-06 Vladyslav Unukovych , Andrii Sotnikov

Motivated by recent experiments on the triangular lattice Mott-Hubbard system kappa-(BEDT-TTF)2Cu2(CN)3, we develop a general formalism to investigate quantum spin liquid insulators adjacent to the Mott transition in Hubbard models. This…

Strongly Correlated Electrons · Physics 2008-11-26 Michael Hermele

Cold-atom experiments based on alkali-like atoms provide us with a tool to experimentally realize Hubbard models with a large number $N$ of components. The value of $N$ can be seen as a new handle to tune the properties of the system,…

Strongly Correlated Electrons · Physics 2026-03-20 Edoardo Zavatti , Gabriele Bellomia , Matteo Ferraretto , Samuele Giuli , Massimo Capone

We investigate the para-ferro transition of the repulsive SU($N$) Hubbard model on one- and two-dimensional Tasaki lattices. Under certain restrictions for constructing localized many-particle ground states of flat-band ferromagnetism, the…

Strongly Correlated Electrons · Physics 2019-10-03 Rui-Jin Liu , Wenxing Nie , Wei Zhang

We study the attractive SU($N$) Hubbard model with particle-hole symmetry. The model is defined on a bipartite lattice with the number of sites $N_A$ $(N_B)$ in the $A$ $(B)$ sublattice. We prove three theorems that allow us to identify the…

Strongly Correlated Electrons · Physics 2021-03-17 Hironobu Yoshida , Hosho Katsura
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