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Dynamics of two particles with short range repulsive or attractive interaction is studied numerically in the Harper model. It is shown that interaction leads to appearance of localized states and pure-point spectrum component in the case…

Condensed Matter · Physics 2009-10-28 D. L. Shepelyansky

We observe an enhanced visibility of charge-density-wave correlations in a cold-atom realization of the attractive Hubbard model following a rapid boost of the interaction strength. The interaction boost associates nonlocal pairs into…

Quantum Gases · Physics 2026-05-18 Botond Oreg , Carter Turnbaugh , Jens Hertkorn , Ningyuan Jia , Martin Zwierlein

The latest advances in the field of photonics have enabled the simulation of an increasing number of quantum models in photonic systems, turning them into an important tool for realizing exotic quantum phenomena. In this paper we suggest…

Quantum Physics · Physics 2021-11-29 Juan Zurita , Charles Creffield , Gloria Platero

We consider a Hubbard model on a square lattice with an additional interaction, $W$, which depends upon the square of a near-neighbor hopping. At half-filling and a constant value of the Hubbard repulsion, increasing the strength of the…

Condensed Matter · Physics 2009-10-28 F. F. Assaad , M. Imada , D. J. Scalapino

The Hubbard on-site repulsion $U$ between opposite spin electrons on the same atomic orbital is widely regarded to be the most important source of electronic correlation in solids. Here we extend the Hubbard model to account for the fact…

Strongly Correlated Electrons · Physics 2009-11-07 J. E. Hirsch

Via the hierarchy of correlations, we study the Mott insulator phase of the Fermi-Hubbard model in the limit of strong interactions and derive a quantum Boltzmann equation describing its relaxation dynamics. In stark contrast to the weakly…

Quantum Physics · Physics 2019-11-27 Friedemann Queisser , Ralf Schützhold

The equation for the electron Green's function of the fermionic Hubbard model, derived using the strong coupling diagram technique, is solved self-consistently for the near-neighbor form of the kinetic energy and for half-filling. In this…

Strongly Correlated Electrons · Physics 2015-06-11 A. Sherman

We discuss a reduction of superconducting transition temperature by the intersite Coulomb repulsion for the d-wave pairing in cuprates. We compare the results found for the spin-fermion model and the extended Hubbard model. We argue that in…

Strongly Correlated Electrons · Physics 2016-07-12 N. Plakida

High-harmonic generation (HHG) in strongly correlated Mott insulators is investigated using exact diagonalization and time-dependent density-matrix propagation of a laser-driven one-dimensional Hubbard chain. By projecting onto equilibrium…

Optics · Physics 2026-05-05 Tao-Yuan Du , Hui-Ru Li , Bo Li , Ruifeng Lu

The Hubbard model is a "highly oversimplified model" for electrons in a solid which interact with each other through extremely short ranged repulsive (Coulomb) interaction. The Hamiltonian of the Hubbard model consists of two pieces; H_hop…

Strongly Correlated Electrons · Physics 2008-02-03 Hal Tasaki

While superconductors are conventionally established by attractive interactions, higher-temperature mechanisms for emergent electronic pairing from strong repulsive electron-electron interactions remain under considerable scrutiny. Here, we…

Strongly Correlated Electrons · Physics 2024-08-07 Clara S. Weber , Dominik Kiese , Dante M. Kennes , Martin Claassen

Recently, it has been demonstrated that the absorption of moderately doped two-dimensional semiconductors can be described in terms of exciton-polarons. In this scenario, attractive and repulsive polaron branches are formed due to…

Mesoscale and Nanoscale Physics · Physics 2021-02-17 Dmitry K. Efimkin , Emma K. Laird , Jesper Levinsen , Meera M. Parish , Allan H. MacDonald

We study the magnetic interactions in Mott-Hubbard systems with partially filled $t_{2g}$-levels and with strong spin-orbit coupling. The latter entangles the spin and orbital spaces, and leads to a rich variety of the low energy…

Strongly Correlated Electrons · Physics 2009-02-11 G. Jackeli , G. Khaliullin

Doublon-holon dynamics is investigated in a pumped one-dimensional Hubbard model with a staggered on?site Coulomb interaction at half-filling. When the system parameters are set to be in the Mott insulating regime the equilibrium sublattice…

Strongly Correlated Electrons · Physics 2024-05-09 Zhenyu Cheng , Ying Li , Hantao Lu , Xiang Hu , Zhongbing Huang , Gregory A. Fiete , Liang Du

We study the strong coupling limit of the extended Hubbard model in two dimensions. The model consists of hopping, on-site interaction, nearest-neighbor interaction, spin-orbit coupling and Zeeman spin splitting. While the study of this…

Strongly Correlated Electrons · Physics 2014-02-18 Aaron Farrell , T. Pereg-Barnea

We develop a strong-coupling perturbation theory for the extended Bose-Hubbard model with on-site and nearest-neighbor boson-boson repulsions on ($d > 1$)-dimensional hypercubic lattices. Analytical expressions for the ground-state phase…

Strongly Correlated Electrons · Physics 2015-05-13 M. Iskin , J. K. Freericks

We investigate the nature of the insulating phases in a bilayer Hubbard model with intralayer coupling $t$ and interlayer coupling $t_{\perp}$ at large interaction strength $U/t$ and half-filling. We consider a dynamical cluster…

Strongly Correlated Electrons · Physics 2015-06-17 Hunpyo Lee , Yu-Zhong Zhang , Harald O. Jeschke , Roser Valenti

We study roles of electron correlations on topological insulators on the honeycomb lattice with the spin-orbit interaction. Accurate variational Monte Carlo calculations show that the increasing on-site Coulomb interactions cause a strong…

Strongly Correlated Electrons · Physics 2011-05-24 Youhei Yamaji , Masatoshi Imada

We explore superconductivity in strongly interacting electrons on a decorated honeycomb lattice (DHL). An easy-plane ferromagnetic interaction arises from spin-orbit coupling in the Mott insulating phase, which favors a triplet resonance…

Superconductivity · Physics 2022-12-22 Manuel Fernández López , Ben J. Powell , Jaime Merino

The underlying Fermi surface is a key concept for strongly-interacting electron models and has been introduced to generalize the usual notion of the Fermi surface to generic (superconducting or insulating) systems. By using improved…

Strongly Correlated Electrons · Physics 2013-05-30 Luca F. Tocchio , Federico Becca , Claudius Gros
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