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Recent refinements of analytical and numerical methods have improved our understanding of the ground-state phase diagram of the two-dimensional (2D) Hubbard model. Here we focus on variational approaches, but comparisons with both Quantum…

强关联电子 · 物理学 2009-07-25 D. Baeriswyl , D. Eichenberger , M. Menteshashvili

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…

强关联电子 · 物理学 2018-05-23 Pavol Farkasovsky

The one-dimensional attractive lattice fermion gas equivalent to the Heisenberg-Ising spin 1/2 chain is studied for a ring geometry threaded by magnetic flux. We find that for charged fermions having interaction strength $\Delta=\cos(\pi /…

凝聚态物理 · 物理学 2009-10-22 Naichang Yu , Michael Fowler

The formation of coplanar spin spirals is a common motif in the magnetic ordering of many frustrated magnets. For classical antiferromagnets, geometric frustration can lead to a massively degenerate ground state manifold of spirals whose…

强关联电子 · 物理学 2017-08-31 Jan Attig , Simon Trebst

The problem of finding of the ferromagnetic and antiferromagnetic "symmetry broken" solutions of the correlated lattice fermion models beyond the mean-field approximation has been investigated. The calculation of the quasiparticle…

强关联电子 · 物理学 2007-05-23 A. L. Kuzemsky

The repulsive Hubbard model on a sawtooth chain exhibits a lowest single-electron band which is completely dispersionless (flat) for a specific choice of the hopping parameters. We construct exact many-electron ground states for electron…

强关联电子 · 物理学 2007-12-08 Oleg Derzhko , Andreas Honecker , Johannes Richter

We consider the spin-1/2 antiferromagnetic Heisenberg model on three frustrated lattices (the diamond chain, the dimer-plaquette chain and the two-dimensional square-kagome lattice) with almost dispersionless lowest magnon band. Eliminating…

强关联电子 · 物理学 2013-10-03 Oleg Derzhko , Johannes Richter , Olesia Krupnitska , Taras Krokhmalskii

A recent study revealed the dynamics of the charge sector of a one-dimensional quarter-filled electronic system with extended Hubbard interactions to be that of an effective pseudospin transverse-field Ising model (TFIM) in the strong…

强关联电子 · 物理学 2009-11-13 Siddhartha Lal , Mukul S. Laad

Geometric frustration results from a discrepancy between the locally favored arrangement of the constituents of a system and the geometry of the embedding space. Geometric frustration can be either non-cumulative, which implies an extensive…

软凝聚态物质 · 物理学 2022-02-10 Snir Meiri , Efi Efrati

The ground state of the Hubbard model with nearest-neighbor hopping on the square lattice at half filling is known to be that of an antiferromagnetic (AFM) band insulator for any on-site repulsion. At finite temperature, the absence of…

We use a recently proposed perturbative numerical renormalization group algorithm to investigate ground-state properties of a frustrated three dimensional Heisenberg model on an anisotropic lattice. We analyze the ground state energy, the…

强关联电子 · 物理学 2007-05-23 S. Moukouri , J. V. Alvarez

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 (CO) ground states as the strength of the longer range…

强关联电子 · 物理学 2007-08-17 Siddhartha Lal , Mukul S. Laad

An effective low energy field theory is developed for a system of two chains. The main novelty of the approach is that it allows to treat generic intrachain repulsive interactions of arbitrary strength. The chains are coupled by a direct…

强关联电子 · 物理学 2015-05-18 A. M. Tsvelik

The magnetic ground state phase diagram of the disordered Hubbard model at half-filling is computed in dynamical mean-field theory supplemented with the spin resolved, typical local density of states. The competition between many-body…

强关联电子 · 物理学 2009-11-13 Krzysztof Byczuk , Walter Hofstetter , Dieter Vollhardt

We investigate the interplay between frustration and zero-point quantum fluctuations in the ground state of the triangular and $J_1{-}J_2$ Heisenberg antiferromagnets, using finite-size spin-wave theory, exact diagonalization, and quantum…

强关联电子 · 物理学 2009-11-07 Luca Capriotti

We introduce a local formalism to deal with the Hubbard model on a N times N square lattice (for even N) in terms of eigenstates of number operators, having well defined point symmetry. For U -> 0, the low lying shells of the kinetic energy…

强关联电子 · 物理学 2009-10-31 Michele Cini , Gianluca Stefanucci

Especially in one dimension, models with discrete and continuous symmetries display different physical properties, starting from the existence of long-range order. In this work, we that, by adding topological frustration, an…

强关联电子 · 物理学 2022-09-29 Alberto Giuseppe Catalano , Daria Brtan , Fabio Franchini , Salvatore Marco Giampaolo

Quantum anomalous Hall effect has been widely explored in both ferromagnetic and antiferromagnetic systems. Here, we propose an interaction-driven paramagnetic quantum anomalous Hall effect emerging in the Fermion-Hubbard model on a dice…

强关联电子 · 物理学 2025-07-15 Yedi Shen , Sanyi You , Zhenhua Qiao , Qian Niu

The magnetic properties and Mott transition of the half-filled Hubbard model on the 1/5 depleted square lattice with frustration is studied at zero temperature by the variational cluster approximation. The $(\pi,\pi)$ N\'eel ordering (AF)…

强关联电子 · 物理学 2015-06-22 Atsushi Yamada

We study the frustrated spin-$\frac{1}{2}$ model consisting of a linear chain of triangles with ferro (F)- and antiferromagnetic (AF) interactions connected by ferromagnetic interactions (triangles chain). The ground state phase diagram as…

强关联电子 · 物理学 2024-03-22 D. V. Dmitriev , V. Ya. Krivnov