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We formulate a multi-band generalisation of the time-dependent Gutzwiller theory. This approach allows for the calculation of general two-particle response functions, which are crucial for an understanding of various experiments in…

Strongly Correlated Electrons · Physics 2015-03-19 E. v. Oelsen , G. Seibold , J. Bünemann

We show that a particular class of variational wave functions reproduces the low-energy properties of the Hubbard model in one dimension. Our approach generalizes to finite on-site Coulomb repulsion the fully-projected wave function…

Strongly Correlated Electrons · Physics 2009-11-11 Manuela Capello , Federico Becca , Seiji Yunoki , Michele Fabrizio , Sandro Sorella

We investigate the ground-state properties of the two-dimensional Hubbard model, based on the off-diagonal wave function variational Monte Carlo method. We use an optimized wave function that is improved from an initial one-body wave…

Strongly Correlated Electrons · Physics 2025-07-08 Takashi Yanagisawa

A new mean field theory is proposed for the Mott transition in the Hubbard model based on the slave rotor representation of the electron operator. This theory provides a better description of the role of the long range charge correlation in…

Strongly Correlated Electrons · Physics 2016-01-12 Tao Li , Tomonori Shirakawa , Kazuhiro Seki , Seiji Yunoki

We generalize the rotationally-invariant formulation of the slave-boson formalism to multiorbital models, with arbitrary interactions, crystal fields, and multiplet structure. This allows for the study of multiplet effects on the nature of…

Strongly Correlated Electrons · Physics 2009-11-13 Frank Lechermann , Antoine Georges , Gabriel Kotliar , Olivier Parcollet

A variational ground state of the repulsive Hubbard model on a square lattice is investigated numerically for an intermediate coupling strength (U = 8t) and for moderate sizes (from 6 x 6 to 10 x 10). Our ansatz is clearly superior to other…

Strongly Correlated Electrons · Physics 2009-11-13 D. Eichenberger , D. Baeriswyl

We study the Mott metal-insulator transition in the two-band Hubbard model with different hopping amplitudes $t_1$ and $t_2$ for the two orbitals on the two-dimensional square lattice by using {\it non-magnetic} variational wave functions,…

Strongly Correlated Electrons · Physics 2016-02-18 Luca F. Tocchio , Federico Arrigoni , Sandro Sorella , Federico Becca

The magnetic field effects on lattice wavefunctions of Hofstadter electrons strongly localized at boundaries are studied analytically and numerically. The exponential decay of the wavefunction is modulated by a field dependent amplitude…

Condensed Matter · Physics 2007-05-23 Shmuel Fishmen , Yonathan Shapir , Xiang-Rong Wang

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 construct and apply an exchange-correlation functional for the one-dimensional Hubbard model. This functional has built into it the Luttinger-liquid and Mott-insulator correlations, present in the Hubbard model, in the same way in which…

Strongly Correlated Electrons · Physics 2007-05-23 K. Capelle , N. A. Lima , M. F. Silva , L. N. Oliveira

A trial wave function is proposed for studying the instability of the two-dimensional Hubbard model with respect to d-wave superconductivity. Double occupancy is reduced in a similar way as in previous variational studies, but in addition…

Strongly Correlated Electrons · Physics 2009-11-11 David Eichenberger , Dionys Baeriswyl

We introduce a new type of Gutzwiller variational wavefunction for correlated electrons coupled to phonons, able to treat on equal footing electronic and lattice degrees of freedom. We benchmark the wavefunction in the infinite-$U$…

Strongly Correlated Electrons · Physics 2007-07-24 P. Barone , R. Raimondi , M. Capone , C. Castellani , M. Fabrizio

We develop an extension of the Gutzwiller Approximation (GA) formalism that includes the effects of Coulomb interactions of arbitrary range (including density density, exchange, pair hopping and Coulomb assisted hopping terms). This…

Strongly Correlated Electrons · Physics 2020-08-05 Garry Goldstein , Nicola Lanata , Gabriel Kotliar

The mechanism of Mott transition in the Hubbard model on the square lattice is studied without explicit introduction of magnetic and superconducting correlations, using a variational Monte Carlo method. In the trial wave functions, we…

Strongly Correlated Electrons · Physics 2015-05-27 Tomoaki Miyagawa , Hisatoshi Yokoyama

We investigated kinetic properties of correlated pairing states in strongly correlated phase of the Hubbard model in two space dimensions. We employ an optimization variational Monte Carlo method, where we use the improved wave function…

Strongly Correlated Electrons · Physics 2021-05-18 Takashi Yanagisawa

Mechanisms of Mott transitions and dx2-y2-wave superconductivity (SC) are studied in the half-filled-band Hubbard model on square lattices with a diagonal hopping term (t'), using an optimization (or correlated) variational Monte Carlo…

Strongly Correlated Electrons · Physics 2009-11-11 Hisatoshi Yokoyama , Masao Ogata , Yukio Tanaka

In this paper, we investigate the topological Hubbard model on honeycomb lattice. By considering the topological properties of the magnetic state, new types of quantum states - A-type and B-type topological spin-density-waves (A-TSDW and…

Strongly Correlated Electrons · Physics 2011-05-03 Jing He , Yan-Hua Zong , Su-Peng Kou , Ying Liang , Shiping Feng

By applying the Shiba mapping on the two particle level, we derive the relation between the local four-point correlation functions of bipartite lattice models with on-site electronic repulsion and those of the corresponding models with…

Strongly Correlated Electrons · Physics 2024-07-25 Herbert Eßl , Matthias Reitner , Giorgio Sangiovanni , Alessandro Toschi

Layered antiferromagnetic spin density wave (LAF) state is one of the plausible ground states of charge neutral Bernal stacked bilayer graphene. In this paper, we use determinant quantum Monte Carlo method to study the effect of the…

Strongly Correlated Electrons · Physics 2014-12-02 Jinhua Sun , Donghui Xu , Yi Zhou , Fu-Chun Zhang

We consider local magnetic moments coupled to conduction electrons with on-site attraction, in order to discuss the interplay between pairing and magnetic order. We probe the ground state properties of this model on a one-dimensional…

Strongly Correlated Electrons · Physics 2015-05-13 P. R. Bertussi , A. L. Malvezzi , T. Paiva , R. R. dos Santos