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The dynamical density-density correlation function is calculated for the one-dimensional, half-filled Hubbard model extended with nearest neighbor repulsion using the Lanczos algorithm for finite size systems and analytically for large on…

Condensed Matter · Physics 2016-08-31 Walter Stephan , Karlo Penc

We calculate the dynamical current and kinetic-energy correlation functions for the first Mott lobe of the one-dimensional Bose-Hubbard model. We employ the strong-coupling expansion up to sixth order in $x=t/U$, and the dynamical…

Quantum Gases · Physics 2025-07-08 Kevin zu Münster , Florian Gebhard , Satoshi Ejima , Holger Fehske

Critical properties in the dynamical charge correlation function for the one-dimensional Mott insulator are studied. By properly taking into account {\it the final-state interaction} between the charge and spin degrees of freedom, we find…

Condensed Matter · Physics 2009-10-31 T. Fujii , N. Kawakami

We employ dynamical density-matrix renormalization group (DDMRG) and field-theory methods to determine the frequency-dependent optical conductivity in one-dimensional extended, half-filled Hubbard models. The field-theory approach is…

Strongly Correlated Electrons · Physics 2009-11-07 F. H. L. Essler , F. Gebhard , E. Jeckelmann

At low energies the charge sector of one dimensional Mott insulators can be described in terms of a quantum Sine-Gordon model. Using exact results derived from integrability it is possible to determine dynamical properties like the…

Strongly Correlated Electrons · Physics 2007-05-23 Davide Controzzi , Fabian H. L. Essler , Alexei M. Tsvelik

We investigate the dynamical spin and charge structure factors and the one-particle spectral function of the one-dimensional extended Hubbard model at half band-filling using the dynamical density-matrix renormalization group method. The…

Strongly Correlated Electrons · Physics 2009-11-11 H. Benthien , E. Jeckelmann

We calculate the ground-state energy, pair correlation function, static structure factor, and momentum density of the one-dimensional electron fluid at high density using variational quantum Monte Carlo simulation. For an infinitely thin…

Strongly Correlated Electrons · Physics 2018-10-03 Vinod Ashokan , N. D. Drummond , K. N. Pathak

We extend to charge and bond operators the transformation that maps the ionic Hubbard model at half filling onto an effective spin Hamiltonian. Using these operators we calculate the amplitude of the charge density wave in different…

Strongly Correlated Electrons · Physics 2009-11-10 A. A. Aligia

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

We introduce a new class of exchange-correlation potentials for a static and time-dependent Density Functional Theory of strongly correlated systems in 3D. The potentials are obtained via Dynamical Mean Field Theory and, for strong enough…

Strongly Correlated Electrons · Physics 2015-05-18 Daniel Karlsson , Antonio Privitera , Claudio Verdozzi

Finding microscopic models for metallic states that exhibit quantum critical properties such as $\omega/T$ scaling is a major theoretical challenge. We calculate the local dynamical spin susceptibility $\chi(T,\omega)$ for a Hubbard model…

Strongly Correlated Electrons · Physics 2017-04-07 Nagamalleswararao Dasari , N. S. Vidhyadhiraja , Mark Jarrell , Ross H. McKenzie

The magnetic susceptibility of the quarter-filled one-dimensional extended Hubbard model is calculated using the density-matrix renormalization group technique. It is found that in the charge gap regime of the model ($U> 4t $ and $V > 2t$),…

Strongly Correlated Electrons · Physics 2007-05-23 S. Moukouri

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

The description of interacting many-electron systems in external magnetic fields is considered in the framework of the optimized effective potential method extended to current-spin-density functional theory. As a case study, a…

Materials Science · Physics 2011-01-14 N. Helbig , S. Kurth , S. Pittalis , E. Räsänen , E. K. U. Gross

Strong correlation effects, which are often associated to the approach to a Mott insulating state, in some cases may be observed even far from half-filling. This typically happens whenever the inter-site Coulomb repulsion induces a tendency…

Strongly Correlated Electrons · Physics 2011-04-06 Adriano Amaricci , Alberto Camjayi , Darko Tanaskovic , Kristjan Haule , Vladimir Dobrosavljevic , Gabriel Kotliar

We study spin and charge dynamics of stripes in doped Mott insulators by considering a two-dimensional Hubbard model with N fermion flavors. For N =2 we recover the normal one-band model while for N -> infty a spin density wave mean-field…

Strongly Correlated Electrons · Physics 2009-11-07 F. F. Assaad , V. Rousseau , F. Hebert , M. Feldbacher , G. G. Batrouni

We use density-functional methods to study the effects of an external magnetic field on two-dimensional quantum dots with a rectangular hard-wall confining potential. The increasing magnetic field leads to spin polarization and formation of…

Strongly Correlated Electrons · Physics 2009-11-10 E. Räsänen , A. Harju , M. J. Puska , R. M. Nieminen

We report a calculation of the correlation function of the local density of states in a disordered quasi-one-dimensional wire in the unitary symmetry class at a small energy difference. Using an expression from the supersymmetric…

Disordered Systems and Neural Networks · Physics 2009-05-12 D. A. Ivanov , P. M. Ostrovsky , M. A. Skvortsov

We derive explicit expressions for dynamical correlations of the field and density operators in the Lieb-Liniger model, within an arbitrary eigenstate with a small particle density ${\cal D}$. They are valid for all space and time and any…

Mathematical Physics · Physics 2021-03-31 Etienne Granet

The correlation functions of one-dimensional Hubbard model in the presence of external magnetic field was investigated through the conformal field technique. The long distance behaviour of the correlation functions and their critical…

Strongly Correlated Electrons · Physics 2015-07-28 Nelson Nenuwe , John O. A. Idiodi
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