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Charge dynamics of the two-dimensional Hubbard model is investigated. Lancz$\ddot{\rm o}$s-diagonalization results for the optical conductivity and the Drude weight of this model are presented. Near the Mott transition, large incoherence…

Condensed Matter · Physics 2009-10-31 Hiroki Nakano , Masatoshi Imada

We study the electronic spectral properties at zero temperature of the one-dimensional (1D) version of the degenerate two-orbital Kanamori Hubbard model (KHM), one of the well established frameworks to study transition metal compounds,…

Strongly Correlated Electrons · Physics 2022-03-04 N. Aucar Boidi , H. Fernández García , Y. Núñez-Fernández , K. Hallberg

We extend previous studies on orbital-selective Mott transitions in the paramagnetic state of the half-filled degenerate two-band Hubbard model to the general doped case, using a high-precision quantum Monte Carlo dynamical mean-field…

Strongly Correlated Electrons · Physics 2009-09-22 Eberhard Jakobi , Nils Blümer , Peter van Dongen

The effective low-energy models of the Hubbard model are usually derived from perturbation theory. Here we derive the effective model of the Hubbard model in spin space and t-J space using a unitary transformation from numerical…

Strongly Correlated Electrons · Physics 2019-10-25 Yifan Tian

We consider the 2+1 and 3+1 scalar wave equations reduced via a helical Killing field, respectively referred to as the 2-dimensional and 3-dimensional helically reduced wave equation (HRWE). The HRWE serves as the fundamental model for the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Stephen R. Lau , Richard H. Price

We present a numerical study of the charge dynamical structure factor N(k,omega) of a one-dimensional (1D) ionic Hubbard model in the Mott insulator phase. We show that the low-energy spectrum of N(k,omega) is expressed in terms of the spin…

Strongly Correlated Electrons · Physics 2019-04-29 Yuhei Komaki , Yuma Iwase , Shogo Yanagimatsu , Yoshiyuki Muta , Nobuya Maeshima , Ken-ichi Hino

We use a complete pseudoparticle operator representation to study the explicit form of the finite-frequency conductivity for the Hubbard chain. Our study reveals that the spectral weight is mostly concentrated at the \omega =0 Drude peak…

Condensed Matter · Physics 2008-02-03 J. M. P. Carmelo , N. M. R. Peres , D. K. Campbell

In the present paper, we systematically studied the possible Orbital selective Mott transition (OSMT) in the $t_{2g}$ system, which has three orbital degeneracy. The slave Boson mean field theory is generalized to the three band systems…

Strongly Correlated Electrons · Physics 2007-05-23 Xi Dai , Gabriel Kotliar , Zhong Fang

Hidden Markov Models (HMMs) can be accurately approximated using co-occurrence frequencies of pairs and triples of observations by using a fast spectral method in contrast to the usual slow methods like EM or Gibbs sampling. We provide a…

Machine Learning · Statistics 2012-03-29 Dean P. Foster , Jordan Rodu , Lyle H. Ungar

The Hatsugai-Kohmoto (HK) model is an exactly solvable electronic lattice model where the interaction between electrons with opposite spin is diagonal in momentum space. We generalize the HK model by introducing momentum-mixing Landau…

Strongly Correlated Electrons · Physics 2026-05-21 Jan Heinrich , Andreas Rückriegel , Peter Kopietz

The one-electron spectral-weight function of the half-filled ionic Hubbard model is calculated by means of Quantum Monte Carlo. A metallic regimen occurs between two values of the coupling constant (Hubbard U) U1 < U2 . The system is a band…

Strongly Correlated Electrons · Physics 2007-05-23 M. C. Refolio , J. M. Lopez Sancho , J. Rubio

The dynamical mean-field theory together with the non-crossing approximation is used to set up a novel scheme to study the electronic structure of strongly correlated electron systems. The non-interacting band structure is obtained from a…

Strongly Correlated Electrons · Physics 2007-05-23 M. B. Zoelfl , Th. Pruschke , J. Keller , A. I. Poteryaev , I. A. Nekrasov , V. I. Anisimov

We investigate the two-orbital Hubbard model in infinite dimensions by means of the self-energy functional method. By calculating the entropy, susceptibility, and quasi-particle weight at zero temperature, we determine the phase diagram for…

Strongly Correlated Electrons · Physics 2007-05-23 Kensuke Inaba Akihisa Koga

A new class of orbital-dependent exchange-correlation (xc) potentials for applications in noncollinear spin-density-functional theory is developed. Starting from the optimized effective potential (OEP) formalism for the exact exchange…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Carsten A. Ullrich

We show that the interband dynamics in a tilted two-band Bose-Hubbard model can be reduced to an analytically accessible spin model in the case of resonant interband oscillations. This allows us to predict the revival time of these…

Quantum Physics · Physics 2010-12-21 Patrick Plötz , Peter Schlagheck , Sandro Wimberger

As a typical quantum many body problem, we consider the time evolution of density matrix elements in the Bose-Hubbard model. For an arbitrary initial state, these quantities can be obtained from an SDE or stochastic differential equation…

Mathematical Physics · Physics 2024-05-31 Detlef Lehmann

The orbital degrees of freedom are of vital importance in explanation of various phenomena. Among them is the orbital-selective Mott transition (OSMT), which is thought to occur in several materials as Ca$_{2-x}$Sr$_x$RuO$_4$ and…

Strongly Correlated Electrons · Physics 2015-11-24 E Plekhanov , A Avella , F Mancini , F P Mancini

The magnetic susceptibility of the one-dimensional Hubbard model with open boundary conditions at arbitrary filling is obtained from field theory at low temperatures and small magnetic fields, including leading and next-leading orders.…

Strongly Correlated Electrons · Physics 2007-05-23 M. Bortz , J. Sirker

Dynamic Hubbard models have been proposed as extensions of the conventional Hubbard model to describe the orbital relaxation that occurs upon double occupancy of an atomic orbital. These models give rise to pairing of holes and…

Superconductivity · Physics 2009-11-07 J. E. Hirsch

With a decomposition scheme for the bath correlation function, the hierarchical equations of motion (HEOM) are extended to the zero-temperature sub-Ohmic and Ohmic spin-boson model. We investigate the linear absorption spectrum of the…

Quantum Physics · Physics 2023-02-06 Qianlong Wang , Jianlan Wu