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Related papers: Charge diffusion in the one-dimensional Hubbard mo…

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We consider charge and spin transport in the one-dimensional Hubbard model at infinite temperature, half-filling and zero magnetization. Implementing matrix-product-operator simulations of the non-equilibrium steady states of…

Strongly Correlated Electrons · Physics 2013-04-09 Tomaz Prosen , Marko Znidaric

We study the charge conductivity of the one-dimensional repulsive Hubbard model at finite temperature using the method of dynamical quantum typicality, focusing at half filling. This numerical approach allows us to obtain current…

Strongly Correlated Electrons · Physics 2015-11-05 F. Jin , R. Steinigeweg , F. Heidrich-Meisner , K. Michielsen , H. De Raedt

We present the exact solution of the one-dimensional extended Hubbard model in the atomic limit within the Green's function and equation of motion formalism. We provide a comprehensive and systematic analysis of the model by considering all…

Strongly Correlated Electrons · Physics 2008-07-25 F. Mancini , F. P. Mancini

The use of hydrodynamic transport theory seems to indicate that the charge diffusion constant D of the one-dimensional (1D) half-filled Hubbard model, whose Drude weight vanishes, diverges for temperature T>0, which would imply anomalous…

Strongly Correlated Electrons · Physics 2024-11-19 J. M. P. Carmelo , P. D. Sacramento

We consider the extended Hubbard model on a two-dimensional square lattice at half-filling. The model is investigated using the strong coupling diagram technique. We sum infinite series of ladder diagrams allowing for full-scale charge and…

Strongly Correlated Electrons · Physics 2023-05-22 A. Sherman

We study reversible deterministic dynamics of classical charged particles on a lattice with hard-core interaction. It is rigorously shown that the system exhibits three types of transport phenomena, ranging from ballistic, through diffusive…

Statistical Mechanics · Physics 2017-09-19 Marko Medenjak , Katja Klobas , Tomaz Prosen

We have studied nonequilibrium dynamics of the one-dimensional Hubbard model using the generalized hydrodynamic theory. We mainly investigated the spatio-temporal profile of charge density, energy density and their currents using the…

Statistical Mechanics · Physics 2020-01-22 Yuji Nozawa , Hirokazu Tsunetsugu

One-dimensional non-equilibrium models of particles subjected to a coagulation-diffusion process are important in understanding non-equilibrium dynamics, and fluctuation-dissipation relation. We consider in this paper transport properties…

Statistical Mechanics · Physics 2015-06-18 Jean-Yves Fortin

It has been conjectured that transport in integrable one-dimensional (1D) systems is necessarily ballistic. The large diffusive response seen experimentally in nearly ideal realizations of the S=1/2 1D Heisenberg model is therefore puzzling…

Strongly Correlated Electrons · Physics 2010-12-01 J. Sirker , R. G. Pereira , I. Affleck

Dynamic Hubbard models are extensions of the conventional Hubbard model that take into account the fact that atomic orbitals expand upon double occupancy. It is shown here that systems described by dynamic Hubbard models have a tendency to…

Strongly Correlated Electrons · Physics 2013-07-25 J. E. Hirsch

Studies relying on hydrodynamic theory and Kardar-Parisi-Zhang (KPZ) scaling have found that in the one-dimensional Hubbard model spin and charge transport are for all temperatures T > 0 anomalous superdiffusive at zero magnetic field, h =…

Strongly Correlated Electrons · Physics 2025-07-04 J. M. P. Carmelo , P. D. Sacramento

We evaluate charge diffusion constant of dense and hot hadronic matter based on the molecular dynamical method by using a hadronic collision generator which describes nuclear collisions at energies 10 < E < 100 GeV/A and satisfies detailed…

High Energy Physics - Phenomenology · Physics 2010-12-17 N. Sasaki , O. Miyamura , S. Muroya , C. Nonaka

We investigate the diffusive properties of energy fluctuations in a one-dimensional diatomic chain of hard-point particles interacting through a square--well potential. The evolution of initially localized infinitesimal and finite…

Statistical Mechanics · Physics 2009-11-13 L. Delfini , S. Denisov , S. Lepri , R. Livi , P. K. Mohanty , A. Politi

Strongly interacting electron systems can provide insight into quantum many-body phenomena, such as Mott insulating behavior and spin liquidity, facilitating semiconductor optimization. The Fermi-Hubbard model is the prototypical model used…

Mesoscale and Nanoscale Physics · Physics 2024-02-08 Sumedh Vangara

We investigate a single particle on a 3-dimensional, cubic lattice with a random on-site potential (3D Anderson model). We concretely address the question whether or not the dynamics of the particle is in full accord with the diffusion…

Statistical Mechanics · Physics 2010-05-05 Robin Steinigeweg , Jochen Gemmer

We consider the repulsive Hubbard model in one dimension and show the different mechanisms present in the charge and spin separation phenomena for an electron, at half filling and bellow half filling. We also comment recent experimental…

Strongly Correlated Electrons · Physics 2007-05-23 Vladimir E. Korepin , Itzhak Roditi

We identify a class of one-dimensional spin and fermionic lattice models which display diverging spin and charge diffusion constants, including several paradigmatic models of exactly solvable strongly correlated many-body dynamics such as…

Statistical Mechanics · Physics 2018-12-13 Enej Ilievski , Jacopo De Nardis , Marko Medenjak , Tomaž Prosen

We study the thermodynamics of the one-dimensional extended Hubbard model at half-filling using a density-matrix renormalization group method applied to transfer matrices. We show that the various phase transitions in this system can be…

Strongly Correlated Electrons · Physics 2007-11-04 S. Glocke , A. Klümper , J. Sirker

We investigate diffusion of excitation in one- and two-dimensional lattices with random on-site energies and deterministic long-range couplings (hopping) inversely proportional to the distance. Three regimes of diffusion are observed in…

Disordered Systems and Neural Networks · Physics 2020-11-18 Karol Kawa , Paweł Machnikowski

Diffusive transport of a particle in spatially correlated random energy landscape having exponential density of states has been considered. We exactly calculate the diffusivity in the nondispersive quasi-equilibrium transport regime and…

Disordered Systems and Neural Networks · Physics 2018-02-14 S. V. Novikov
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