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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

The small-cluster exact-diagonalization calculations and the projector quantum Monte Carlo method are used to examine the competing effects of geometrical frustration and interaction on ferromagnetism in the Hubbard model on the…

Strongly Correlated Electrons · Physics 2018-05-23 Pavol Farkasovsky

We consider a half-filled system of spin-1/2 fermions on a triangular ladder with spin-dependent hopping in the presence of spin-dependent flux. Using the Schrieffer-Wolff transformation, we derive an effective spin Hamiltonian describing…

Strongly Correlated Electrons · Physics 2026-03-11 Shota Garuchava , Bachana Beradze , Tatia Sharia , George I. Japaridze

In this article we review the effects of magnetic frustation in the stacked triangular lattice. Frustration increases the degeneracy of the ground state, giving rise to different physics. In particular it leads to unique phase diagrams with…

Condensed Matter · Physics 2009-10-30 M. F. Collins , O. A. Petrenko

We study the magnetic properties of the 3d Hubbard model at half-filling in the TPSC formalism, previously developed for the 2d model. We focus on the N\'eel transition approached from the disordered side and on the paramagnetic phase. We…

Strongly Correlated Electrons · Physics 2009-10-31 A. -M. Dare , G. Albinet

The role of frustration and interaction strength on the half-filled Hubbard model is studied on the square lattice with nearest and next-nearest neighbour hoppings t and t' using the Variational Cluster Approximation (VCA). At half-filling,…

Strongly Correlated Electrons · Physics 2008-03-04 Andriy H. Nevidomskyy , Christian Scheiber , David Senechal , A. -M. S. Tremblay

Recent quantum-gas microscopy of ultracold atoms and scanning tunneling microscopy of the cuprates reveal new detailed information about doped Mott antiferromagnets, which can be compared with calculations. Using cellular dynamical…

Strongly Correlated Electrons · Physics 2017-12-27 L. Fratino , M. Charlebois , P. Sémon , G. Sordi , A. -M. S. Tremblay

The variational cluster approximation is used to study the isotropic triangular-lattice Hubbard model at half filling, taking into account the nearest-neighbor ($t_1$) and next-nearest-neighbor ($t_2$) hopping parameters for magnetic…

Strongly Correlated Electrons · Physics 2017-02-28 Kazuma Misumi , Tatsuya Kaneko , Yukinori Ohta

Using variational cluster approach, we study influence of frustration and dimensionality on magnetic properties in the ground state of Hubbard model on a stacked square lattice in the large $U$ region (U/t=10), by changing the…

Strongly Correlated Electrons · Physics 2015-05-13 Toshihiko Yoshikawa , Masao Ogata

On several one-dimensional (1D) and 2D nonbipartite lattices, we study both free and Hubbard interacting lattice fermions when some magnetic fluxes are threaded or gauge fields coupled. First, we focus on finding out the optimal flux which…

Strongly Correlated Electrons · Physics 2020-07-28 Wayne Zheng

We investigate the phase diagram of the \tj Model on a triangular lattice using a Variational Monte-Carlo approach. We use an extended set of Gutzwiller projected fermionic trial wave-functions allowing for simultaneous magnetic and…

Superconductivity · Physics 2007-05-23 Cédric Weber , Andreas Laeuchli , Frédéric Mila , Thierry Giamarchi

The magnetic properties of the t-t' Hubbard Model in the two dimensional square lattice are studied within an unrestricted Hartree-Fock approximation in real space. The interplay between antiferromagnetism, ferromagnetism, phase separation…

Strongly Correlated Electrons · Physics 2007-05-23 B. Valenzuela , M. A. H. Vozmediano , F. Guinea

Recently a quantum simulator for the 2D Fermi-Hubbard model on an anisotropic triangular lattice has been realized, where both geometrical frustration and doping can be continuously tuned. Here we provide a comprehensive comparison between…

Strongly Correlated Electrons · Physics 2024-09-06 Guan-hua Huang , Zhigang Wu

We studied the effects of hole doping on spin correlations in the periodic Anderson model, mainly at the full and three-quarters-full lower bands cases. In the full lower band case, strong anti-ferromagnetic correlations develop when the…

Strongly Correlated Electrons · Physics 2016-08-31 J. Bonca , J. E. Gubernatis

Over the past decades, magnetic frustration has been under intense debate due to its unusual properties. For instance, frustration in the kagome lattice suppresses long range spin correlations and it is expected to be a candidate for a spin…

Strongly Correlated Electrons · Physics 2025-09-29 Andressa R. Medeiros-Silva , Natanael C. Costa , Thereza Paiva

We study the magnetism of a quantum spin-1/2 antiferromagnet on a maple-leaf lattice which is obtained by regularly depleting 1/7 of the sites of a triangular lattice. Although the interactions are set to be spatially uniform, the ground…

Strongly Correlated Electrons · Physics 2021-12-14 Ryo Makuta , Chisa Hotta

The triangular-lattice Fermi-Hubbard model has been extensively investigated in the literature due to its connection to chiral spin states and unconventional superconductivity. Previous simulations of the ground state of the doped system…

Strongly Correlated Electrons · Physics 2023-08-02 Vinicius Zampronio , Tommaso Macrì

AC magnetoimpedance measurements performed on proximity-effect coupled Josephson junction arrays on a dice lattice reveal unconventional behaviour resulting from the interplay between the frustration f created by the applied magnetic field…

Superconductivity · Physics 2009-11-11 M. Tesei , R. Theron , P. Martinoli

We study the Hubbard model with time-reversal invariant flux and spin-orbit coupling and position-dependent onsite energies on the kagome lattice, using numerical and analytical methods. In particular, we perform calculations using real…

Strongly Correlated Electrons · Physics 2022-06-08 Irakli Titvinidze , Julian Legendre , Karyn Le Hur , Walter Hofstetter

We report exact calculations of magnetic and superconducting pair-pair correlations for the half-filled band Hubbard model on an anisotropic triangular lattice. Our results for the magnetic phases are similar to those obtained with other…

Strongly Correlated Electrons · Physics 2009-11-13 R. T. Clay , H. Li , S. Mazumdar