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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…

强关联电子 · 物理学 2019-09-30 Da Wang , Lei Wang , Congjun Wu

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…

强关联电子 · 物理学 2019-07-31 Sangwoo S. Chung , Philippe Corboz

The SU(N) Hubbard model is a natural extension of the SU(2) model. However, even the N=3 case remains poorly understood. We report a substantially new ground-state phase diagram of the square lattice SU(3) Fermi-Hubbard model. Using a…

强关联电子 · 物理学 2025-10-28 Samuel Bird , Sebastian Huber , Jannes Nys

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…

强关联电子 · 物理学 2013-11-06 Yasufumi Yamashita , Masaki Tomura , Yuki Yanagi , Kazuo Ueda

The interplay between charge and spin degrees of freedom in strongly correlated fermionic systems, in particular of Dirac fermions, is a long-standing problem in condensed matter physics. We investigate the competing orders in the…

量子气体 · 物理学 2016-07-06 Zhichao Zhou , Da Wang , Zi Yang Meng , Yu Wang , Congjun Wu

We study various Mott insulating phases of interacting spin-3/2 fermionic ultracold atoms in two-dimensional square optical lattices at half filling. Using a generalized one-band Hubbard model with hidden SO(5) symmetry, we identify two…

强关联电子 · 物理学 2009-11-13 Hong-Hao Tu , Guang-Ming Zhang , Lu Yu

We employ the large-scale quantum Monte-Carlo simulations to investigate the Mott-insulating states of the half-filled SU(4) Hubbard model on the square lattice with a staggered-flux pattern. The noninteracting band structure that evolves…

量子气体 · 物理学 2024-03-25 Han Xu , Yu Wang , Zhichao Zhou , 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…

The Hubbard model on the honeycomb lattice undergoes a quantum phase transition from a semimetallic to a Mott insulating phase and from a disordered to an anti-ferromagnetically phase. We show that these transitions occur simultaneously and…

强关联电子 · 物理学 2022-07-26 Johann Ostmeyer , Evan Berkowitz , Stefan Krieg , Timo A. Lähde , Thomas Luu , Carsten Urbach

We have investigated the antiferromagnetic phase of the 2D, the 3D and the extended Hubbard models on a bipartite cubic lattice by means of the Composite Operator Method within a two-pole approximation. This approach yields a fully…

强关联电子 · 物理学 2009-09-25 Adolfo Avella , Ferdinando Mancini , Roland Muenzner

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…

量子气体 · 物理学 2011-05-05 Akos Rapp , Achim Rosch

We investigate ground state properties of the half-filled staggered-flux Hubbard model on a square lattice. Energy gaps to charge and spin excitations and magnetic as well as dimer orders are calculated as a function of interaction strength…

强关联电子 · 物理学 2015-06-04 Chia-Chen Chang , Richard T. Scalettar

We investigate the phases of the ionic Hubbard model in a two-dimensional square lattice using determinant quantum Monte Carlo (DQMC). At half-filling, when the interaction strength or the staggered potential dominate we find Mott and band…

强关联电子 · 物理学 2009-11-13 K. Bouadim , N. Paris , F. Hebert , G. G. Batrouni , R. T. Scalettar

Cooperation and competition between the antiferromagnetic, d-wave superconducting and Mott-insulating states are explored for the two-dimensional Hubbard model including nearest and next-nearest-neighbor hoppings at zero temperature. Using…

强关联电子 · 物理学 2007-12-11 M. Aichhorn , E. Arrigoni , M. Potthoff , W. Hanke

Employing a combination of functional renormalization group calculations and projective determinantal quantum Monte Carlo simulations, we examine the Hubbard model on the square lattice bilayer at half filling. From this combined analysis,…

强关联电子 · 物理学 2014-11-25 Michael Golor , Timo Reckling , Laura Classen , Michael M. Scherer , Stefan Wessel

We study a quantum version of the three-state Potts model that includes as special cases the effective models of bosons and fermions on the square lattice in the Mott insulating limit. It can be viewed as a model of quantum permutations…

强关联电子 · 物理学 2013-10-30 Laura Messio , Philippe Corboz , Frédéric Mila

Combining a semi-classical analysis with exact diagonalizations, we show that the ground state of the SU(3) Heisenberg model on the square lattice develops three-sublattice long-range order. This surprising pattern for a bipartite lattice…

强关联电子 · 物理学 2012-12-03 Tamas A. Toth , Andreas M. Laeuchli , Frederic Mila , Karlo Penc

We study a class of SU(N) Heisenberg models, describing Mott insulators of fermionic ultra-cold alkaline earth atoms on the three-dimensional simple cubic lattice. Based on an earlier semiclassical analysis, magnetic order is unlikely, and…

强关联电子 · 物理学 2013-05-02 Hao Song , Michael Hermele

The variational cluster approximation is used to study the ground-state properties and single-particle spectra of the three-component fermionic Hubbard model defined on the two-dimensional square lattice at half filling. First, we show that…

强关联电子 · 物理学 2016-06-16 Takumi Hasunuma , Tatsuya Kaneko , Shohei Miyakoshi , Yukinori Ohta

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)…

强关联电子 · 物理学 2018-05-09 M. A. Timirgazin , P. A. Igoshev , A. K. Arzhnikov , V. Yu. Irkhin
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