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We investigate the possibility and stability of bandferromagnetism in the single-band Hubbard model. This model poses a highly non-trivial many-body problem the general solution of which has not been found up to now. Approximations are…

强关联电子 · 物理学 2007-05-23 W. Nolting , M. Potthoff , T. Herrmann , T. Wegner

We study novel electronic properties of the Hubbard model on a triangular lattice using the cellular dynamical mean-field theory. The interplay of strong geometric frustration and electron correlations causes a Mott transition at the…

强关联电子 · 物理学 2009-11-11 Bumsoo Kyung

An efficient scheme is introduced for a fast and smooth convergence to the thermodynamic limit with finite size cluster calculations. This is obtained by modifying the energy levels of the non interacting Hamiltonian in a way consistent…

强关联电子 · 物理学 2015-05-12 Sandro Sorella

We study the thermodynamic properties of the 3D Hubbard model for temperatures down to the Neel temperature using cluster dynamical mean-field theory. In particular we calculate the energy, entropy, density, double occupancy and…

量子气体 · 物理学 2011-03-14 S. Fuchs , E. Gull , L. Pollet , E. Burovski , E. Kozik , T. Pruschke , M. Troyer

The Hubbard model on a cube was revisited and extended by both nearest-neighbor (nn) Coulomb correlation and {nearest-neighbor} Heisenberg exchange. The complete eigensystem was computed exactly for all electron occupancies and all model…

强关联电子 · 物理学 2015-05-13 Rolf Schumann , David Zwicker

We study the infinite U Hubbard model with one hole doped away half-filling, in triangular and square lattices with frustrated hoppings that invalidate Nagaoka's theorem, by means of the density matrix renormalization group. We find that…

强关联电子 · 物理学 2015-06-18 C. N. Sposetti , B. Bravo , A. E. Trumper , C. J. Gazza , L. O. Manuel

The competition between commensurate and incommensurate spin-density-wave phases in the infinite-dimensional single-band Hubbard model is examined with quantum Monte Carlo simulation and strong and weak coupling approximations. Quantum…

凝聚态物理 · 物理学 2009-10-22 J. K. Freericks , Mark Jarrell

The Hubbard model extended by either nearest-neighbour Coulomb correlation and/or nearest neighbour Heisenberg exchange is solved analytically for a triangle and tetrahedron. All eigenvalues and eigenvectors are given as functions of the…

强关联电子 · 物理学 2009-11-13 R. Schumann

Significant advances in numerical techniques have enabled recent breakthroughs in the study of various properties of the Hubbard model - a seemingly simple, yet complex model of correlated electrons that has been a focus of study for more…

强关联电子 · 物理学 2021-09-14 E. W. Huang , W. O. Wang , J. K. Ding , T. Liu , F. Liu , X. -X. Huang , B. Moritz , T. P. Devereaux

We present results on thermodynamic quantities, resistivity and optical conductivity for the Hubbard model on a simple hypercubic lattice in infinite dimensions. Our results for the paramagnetic phase display the features expected from an…

凝聚态物理 · 物理学 2009-10-22 Th. Pruschke , D. L. Cox , M. Jarrell

The sum rule for the moments of the spectral density is discussed for the single-band Hubbard model. It is shown that respecting the sum rule up to the order m=3 is conceptually important for a qualitatively correct description of the…

强关联电子 · 物理学 2015-06-25 M. Potthoff , T. Herrmann , T. Wegner , W. Nolting

A systematically improvable wave function is proposed for the numerical solution of strongly correlated systems. With a stochastic optimization method, based on the auxiliary field quantum Monte Carlo technique, an effective temperature…

强关联电子 · 物理学 2022-03-22 Sandro Sorella

A self-consistent spectral density approach (SDA) is applied to the Hubbard model to investigate the possibility of spontaneous ferro- and antiferromagnetism. Starting point is a two-pole ansatz for the single-electron spectral density, the…

强关联电子 · 物理学 2009-10-30 T. Herrmann , W. Nolting

We provide a unified, comprehensive treatment of all operators that contribute to the anti-ferromagnetic, ferromagnetic, and charge-density-wave structure factors and order parameters of the hexagonal Hubbard Model. We use the Hybrid Monte…

强关联电子 · 物理学 2021-11-01 Johann Ostmeyer , Evan Berkowitz , Stefan Krieg , Timo A. Lähde , Thomas Luu , Carsten Urbach

A theoretical analysis of the thermodynamic response functions of the 2D single-band Hubbard model is realized by means of the composite operator method. It is shown that all the features of these quantities can be explained by looking at…

强关联电子 · 物理学 2008-02-03 F. Mancini , D. Villani , H. Matsumoto

Noncollinear magnetic states in clusters are studied by using the single-band Hubbard Hamiltonian. The unrestricted Hartree-Fock (UHF) approximation is considered without imposing any symmetry constraints neither to the size or orientation…

强关联电子 · 物理学 2009-10-31 Miguel A. Ojeda , J. Dorantes-Davila , G. M. Pastor

We study the Mott transition in a frustrated Hubbard model with next-nearest neighbor hopping at half-filling. The interplay between interaction, dimensionality and geometric frustration closes the one-dimensional Mott gap and gives rise to…

强关联电子 · 物理学 2012-09-19 Marcin Raczkowski , Fakher F. Assaad

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…

强关联电子 · 物理学 2017-02-28 Kazuma Misumi , Tatsuya Kaneko , Yukinori Ohta

We discuss the magnetic ground state and properties of a frustrated two-dimensional classical Heisenberg model of interacting hexagonal clusters of spins. The energy of the ground states is found exactly for arbitrary values of $J_1$…

统计力学 · 物理学 2025-02-06 Anuradha Jagannathan , Thierry Jolicoeur

The resonant inelastic x-ray scattering spectrum in insulating cuprates is examined by using the exact diagonalization technique on small clusters in the two-dimensional Hubbard model with second and third neighbor hopping terms. When the…

强关联电子 · 物理学 2009-10-31 K. Tsutsui , T. Tohyama , S. Maekawa