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The Gutzwiller wave function for a strongly correlated model can, if supplemented with a long-range Jastrow factor, provide a proper variational description of Mott insulators, so far unavailable. We demonstrate this concept in the…

Strongly Correlated Electrons · Physics 2009-11-10 Manuela Capello , Federico Becca , Michele Fabrizio , Sandro Sorella , Erio Tosatti

Recently a new phenomenological Hamiltonian was proposed to describe the superconducting cuprates in which correlations and on-site Coulomb repulsion are introduced by partial Gutzwiller projection. This Gossamer Hamiltonian has an exact…

Strongly Correlated Electrons · Physics 2007-05-23 Bogdan A. Bernevig , George Chapline , Robert B. Laughlin , Zaira Nazario , David I. Santiago

We have studied the extended Hubbard model with pair hopping in the atomic limit for arbitrary electron density and chemical potential and focus on paramagnetic effects of the external magnetic field. The Hamiltonian considered consists of…

Strongly Correlated Electrons · Physics 2013-01-22 Konrad Kapcia , Stanisław Robaszkiewicz

We compute the perturbative expansion for the effective interaction $W$ of the half-filled 2-dimensional Hubbard model. We derive extensions of standard RPA resummations that include arbitrarily high order contributions in the…

Strongly Correlated Electrons · Physics 2023-07-06 Daria Gazizova , J. P. F. LeBlanc

Phase diagrams of the one-dimensional extended Hubbard model (including nearest-neighbor interaction $V$) at half- and quarter-filling are studied by observing level crossings of excitation spectra using the exact diagonalization. This…

Strongly Correlated Electrons · Physics 2016-08-31 Masaaki Nakamura

We use the Gutzwiller method to investigate the importance of the on-site Coulomb interaction in graphene. We apply it to Hubbard Hamiltonian to study the renormalization of the kinetic energy in graphene due to the on-site Coulomb…

Strongly Correlated Electrons · Physics 2007-12-19 Hari P. Dahal , Jean-Pierre Julien , A. V. Balatsky

The subject of the present paper is the theoretical description of collective electronic excitations, i.e. spin waves, in the Hubbard-model. Starting with the widely used Random-Phase-Approximation, which combines Hartree-Fock theory with…

Strongly Correlated Electrons · Physics 2009-11-07 W. Rumsch und W. Nolting

We investigate the collapse and revival of first-order coherence in deep optical lattices when long-range interactions are turned on, and find that the first few revival peaks are strongly attenuated already for moderate values of the…

Quantum Gases · Physics 2011-12-30 Uwe R. Fischer , Bo Xiong

Layered organic superconductors are on the verge of the Mott insulator. We use Gutzwiller variational method to study a Hubbard model including a spin exchange coupling term. The ground state is found to be a Gossamer superconductor at…

Superconductivity · Physics 2009-11-10 J. Y. Gan , Yan Chen , Z. B. Su , F. C. Zhang

We extend the standard solid-state quantum mechanical Hamiltonian containing only Coulomb interactions between the charged particles by inclusion of $1/c^2$ terms representing (transverse) current-current interaction. For its derivation we…

Quantum Physics · Physics 2019-06-27 Ladislaus Alexander Bányai

We employ the (dynamical) density matrix renormalization group technique to investigate the ground-state properties of the Bose-Hubbard model with nearest-neighbor transfer amplitudes t and local two-body and three-body repulsion of…

Quantum Gases · Physics 2015-06-17 S. Ejima , F. Lange , H. Fehske , F. Gebhard , K. zu Münster

In the present paper we are interested in analyzing the pairwise entanglement in quantum dots, as ququart systems, naturally described by the Fermi-Hubbard model. Using the lower bound of concurrence we show the effect of the Coulomb…

Quantum Physics · Physics 2022-09-14 Sanaa Abaach , Mustapha Faqir , Morad EL Baz

Using the adiabatic connection, we formulate the free energy in terms of the correlation function of a fictitious system, $h_{\lambda}({\bf r},{\bf r}')$, where $\lambda$ determines the interaction strength. To obtain $h_{\lambda}({\bf…

Statistical Mechanics · Physics 2016-06-15 Derek Frydel , Manman Ma

The frequency-moment expansion method is developed to analyze the validity of the Luttinger sum rule within the Mott-Hubbard insulator, as represented by the generalized Hubbard model at half filling and large $U$. For the particular case…

Strongly Correlated Electrons · Physics 2009-11-13 J. Kokalj , P. Prelovsek

In this work, we study the wavefunctions of the one dimensional $1/r$ Hubbard model in the strong interaction limit $U =\infty$. A set of Gutzwiller-Jastorw wavefunctions are shown to be eigen-functions of the Hamiltonian. The entire…

Condensed Matter · Physics 2019-08-15 D. F. Wang Joseph Henry , Q. F. Zhong , P. Coleman Serin

By extending the concept of Euler-angle rotations to more than three dimensions, we develop the systematics under rotations in higher-dimensional space for a novel set of hyperspherical harmonics. Applying this formalism, we determine all…

Atomic and Molecular Clusters · Physics 2015-06-26 T. A. Heim , D. Green

The electronic structures and optical properties of cubic HfO2 are calculated by means of generalized gradient approximation (GGA) +U approach. Without on-site Coulomb interactions, the band gap of cubic HfO2 is 2.92eV, much lower than the…

Materials Science · Physics 2013-11-26 Jinping Li , Songhe Meng , Lingling Li , Hantao Lu , Takami Tohyama

We present a generalization of the recently proposed variational cluster perturbation theory to extended Hubbard models at half filling with repulsive nearest neighbor interaction. The method takes into account short-range correlations…

Strongly Correlated Electrons · Physics 2009-11-10 M. Aichhorn , H. G. Evertz , W. von der Linden , M. Potthoff

The ground state of the two-dimensional (2D) Hubbard model is investigated by adopting improved wave functions that take into account intersite electron correlation beyond the Gutzwiller ansatz. The ground-state energy is lowered…

Strongly Correlated Electrons · Physics 2016-11-09 Takashi Yanagisawa

The coherent mobility of doublons, arising from second-order virtual dissociation-recombination processes, fundamentally limits their use as information carriers in the strongly interacting Bose-Hubbard model. We propose a disorder-free…

Quantum Gases · Physics 2026-05-21 Zhen-Ting Bao , Kai Xu , Heng Fan