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Recent experimental realization of dipolar Fermi gases near or below quantum degeneracy provides opportunity to engineer Hubbard-like models with long range interactions. Motivated by these experiments, we chart out the theoretical phase…

Quantum Gases · Physics 2012-04-10 S. G. Bhongale , L. Mathey , Shan-Wen Tsai , Charles W. Clark , Erhai Zhao

Almost all known high temperature superconductors are cuprates, which can be suitably modelled by the two dimensional Hubbard model. To understand the interplay of various long range properties as antiferromagnetism and superconductivity,…

Strongly Correlated Electrons · Physics 2009-09-29 Eike Bick

The Hubbard model underlies our understanding of strongly correlated materials. While its standard form only comprises interaction between particles at the same lattice site, its extension to encompass long-range interaction, which…

Quantum Gases · Physics 2016-04-22 S. Baier , M. J. Mark , D. Petter , K. Aikawa , L. Chomaz , Zi Cai , M. Baranov , P. Zoller , F. Ferlaino

We study a system of polar dipolar fermions in a two-dimensional optical lattice and show that multi-band Fermi-Hubbard model is necessary to discuss such system. By taking into account both on-site, and long-range interactions between…

Quantum Gases · Physics 2015-06-04 O. Dutta , T. Sowiński , M. Lewenstein

We study finite-temperature properties of ultracold four-component mixtures of alkaline-earth-like atoms in optical lattices that can be effectively described by the two-band spin-$1/2$ Hubbard model including the Hund's exchange coupling…

Quantum Gases · Physics 2016-05-31 Agnieszka Cichy , Andrii Sotnikov

High-finesse optical cavity allows the establishment of long-range interactions between bosons in an optical lattice when most cold atoms experiments are restricted to short-range interactions. Supersolid phases have recently been…

Quantum Gases · Physics 2017-04-05 T. Flottat , L. de Forges de Parny , F. Hébert , V. G. Rousseau , G. G. Batrouni

We study the phase diagram at finite temperature of a system of Fermi particles on the sites of the Bethe lattice with coordination number z and interacting through onsite U and nearest-neighbor V interactions. This is a physical…

Strongly Correlated Electrons · Physics 2008-09-09 F. Mancini , F. P. Mancini , A. Naddeo

The Hubbard model constitutes one of the most celebrated theoretical frameworks of condensed-matter physics. It describes strongly correlated phases of interacting quantum particles confined in lattice potentials. For bosons, the Hubbard…

Strongly Correlated Electrons · Physics 2022-10-12 C. Lagoin , U. Bhattacharya , T. Grass , R. Chhajlany , T. Salamon , K. Baldwin , L. Pfeiffer , M. Lewenstein , M. Holzmann , F. Dubin

The two-dimensional Hubbard model with a bimodal distribution of on-site interactions, P(U_i) = (1-f)\delta(U_i-U) + f\delta(U_i), is studied using a finite temperature quantum Monte Carlo technique and dynamical mean-field theory. We find…

Strongly Correlated Electrons · Physics 2009-10-30 M. Ulmke , P. Denteneer , R. Scalettar , G. Zimanyi

We present the exact solution of a system of Fermi particles living on the sites of a Bethe lattice with coordination number z and interacting through on-site U and nearest-neighbor V interactions. This is a physical realization of the…

Strongly Correlated Electrons · Physics 2010-03-09 F. Mancini , F. P. Mancini

Many exotic phenomena in strongly correlated electron systems emerge from the interplay between spin and motional degrees of freedom. For example, doping an antiferromagnet gives rise to interesting phases including pseudogap states and…

The Fermi-Hubbard model is one of the key models of condensed matter physics, which holds a potential for explaining the mystery of high-temperature superconductivity. Recent progress in ultracold atoms in optical lattices has paved the way…

Quantum Gases · Physics 2016-09-29 Jan Kaczmarczyk , Hendrik Weimer , Mikhail Lemeshko

This study investigated the extended Holstein--Hubbard model at half-filling as a model for describing interplay of the electron-electron and electron-phonon couplings. When the electron-phonon and nearest-neighbor electron-electron…

Mathematical Physics · Physics 2016-10-12 Tadahiro Miyao

One-dimensional spinless Fermi gas with attractive dipole-dipole interaction is investigated. Results obtained show when the interaction is weak, the excitation spectrum is linear and the superconducting correlation function decays as power…

Quantum Gases · Physics 2014-07-08 Zhongbo Yan , Liang Chen , Shaolong Wan

In the work, we investigated a generalized model of the fermionic lattice gas in the form of the extended Hubbard model with intersite Ising-like interactions (both antiferromagnetic and ferromagnetic) at the atomic limit on the triangular…

Statistical Mechanics · Physics 2024-01-24 Konrad Jerzy Kapcia , Jan Barański

Recent experiments with ultracold atoms in an optical lattice have realized cavity-mediated long-range interaction and observed the emergence of a supersolid phase and a density wave phase in addition to Mott insulator and superfluid…

Disordered Systems and Neural Networks · Physics 2020-11-03 Chao Zhang , Heiko Rieger

The interference patterns of ultracold atoms, observed after ballistic expansion from optical lattices, encode essential information about strongly correlated lattice systems, including phase coherence and non-local correlations. While the…

We realize and study the ionic Hubbard model using an interacting two-component gas of fermionic atoms loaded into an optical lattice. The bipartite lattice has honeycomb geometry with a staggered energy-offset that explicitly breaks the…

Engineering long-range interacting spin systems with ultra cold atoms offers the possibility to explore exotic magnetically ordered phases in strongly-correlated scenarios. Quantum gases in optical cavities provide a versatile experimental…

Motivated by the recent progress in realizing and controlling extended Bose-Hubbard systems using excitonic or atomic devices, the present Letter theoretically investigates the case of a two-band Bose-Hubbard chain with nearest-neighbor…

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