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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…

Strongly Correlated Electrons · Physics 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…

Strongly Correlated Electrons · Physics 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…

Strongly Correlated Electrons · Physics 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…

Quantum Gases · Physics 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…

Strongly Correlated Electrons · Physics 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…

Strongly Correlated Electrons · Physics 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…

Condensed Matter · Physics 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…

Strongly Correlated Electrons · Physics 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…

Strongly Correlated Electrons · Physics 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…

Condensed Matter · Physics 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…

Strongly Correlated Electrons · Physics 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…

Strongly Correlated Electrons · Physics 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…

Strongly Correlated Electrons · Physics 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…

Strongly Correlated Electrons · Physics 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…

Strongly Correlated Electrons · Physics 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…

Strongly Correlated Electrons · Physics 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…

Strongly Correlated Electrons · Physics 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…

Strongly Correlated Electrons · Physics 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 $J_1$…

Statistical Mechanics · Physics 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…

Strongly Correlated Electrons · Physics 2009-10-31 K. Tsutsui , T. Tohyama , S. Maekawa