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The Mott insulator is the quintessential strongly correlated electronic state. We obtain complete insight into the physics of the two-dimensional Mott insulator by extending the slave-fermion (holon-doublon) description to finite…

Strongly Correlated Electrons · Physics 2019-07-01 Xing-Jie Han , Chuang Chen , Jing Chen , Hai-Dong Xie , Rui-Zhen Huang , Hai-Jun Liao , Bruce Normand , Zi Yang Meng , Tao Xiang

Hall and optical conductivity experiments on the cuprates indicate that the low-energy fermionic degrees of freedom in a doped Mott insulator posess a component that is dynamcially generated and hence determined by the temperature. We show…

Strongly Correlated Electrons · Physics 2013-05-29 Shiladitya Chakraborty , Seungmin Hong , Philip Phillips

Motivated by recent experiments on Mott insulators, in both iridates and ultracold atoms, we theoretically study the effects of magnetic order on the Mott-Hubbard excitons. In particular, we focus on spin-mediated doublon-holon pairing in…

Strongly Correlated Electrons · Physics 2024-04-23 T. -S. Huang , C. L. Baldwin , M. Hafezi , V. Galitski

In this work we study ultracold Fermions confined in a two-dimensional optical lattice and we explore the Mott-insulator transition with the Fermi-Hubbard model. On the basis of a mean-field approach, we study the phase diagrams in the…

Mesoscale and Nanoscale Physics · Physics 2008-05-19 N. Goldman

We propose a class of wave functions that provide a unified description of antiferromagnetism and d-wave superconductivity in (doped) Mott insulators. The wave function has a Jastrow form and prohibits double occupancies. In the absence of…

Strongly Correlated Electrons · Physics 2007-05-23 Z. Y. Weng , Y. Zhou , V. N. Muthukumar

We provide analytical and numerical solution of the two band fermion model with on-site Coulomb at half filling. In limiting cases for generate bands and one flat band, the model reduces to the Hubbard and Falicov-Kimball models,…

Strongly Correlated Electrons · Physics 2020-10-27 Igor N. Karnaukhov

We study the behavior of fermion liquid defined on hexagonal and triangular lattices with short-range repulsion at half filling. In strong coupling limit the Mott-Hubbard phase state is present, the main peculiarity of insulator state is a…

Strongly Correlated Electrons · Physics 2021-09-17 Igor N. Karnaukhov , Kateryna Levchuk , Igor N. Dubinski

In the Mott-Hubbard insulators YTiO3 and SmTiO3 we study optical excitations from the lower to the upper Hubbard band, d^1d^1 -> d^0d^2. The multi-peak structure observed in the optical conductivity reflects the multiplet structure of the…

Strongly Correlated Electrons · Physics 2024-11-05 A. Gössling , R. Schmitz , H. Roth , M. W. Haverkort , T. Lorenz , J. A. Mydosh , E. Müller-Hartmann , M. Grüninger

We investigate the decay of artificially created double occupancies in a repulsive Fermi-Hubbard system in the strongly interacting limit using diagrammatic many-body theory and experiments with ultracold fermions on optical lattices. The…

We study the photoinduced ultrafast dynamics in relativistic Mott insulators, i.e., Mott insulators with strong spin-orbit coupling. For this purpose, we consider a minimal one-band Hubbard model on lattices with square and triangular…

Strongly Correlated Electrons · Physics 2020-10-20 Jiajun Li , Nagamalleswararao Dasari , Martin Eckstein

Interacting many-body systems combining confined and extended dimensions, such as ladders and few layer systems are characterized by enhanced quantum fluctuations, which often result in interesting collective properties. Recently…

Strongly Correlated Electrons · Physics 2022-06-29 Annabelle Bohrdt , Lukas Homeier , Immanuel Bloch , Eugene Demler , Fabian Grusdt

We investigate experimentally the ultrafast changes in the spectral response of the Mott insulator $\kappa$-(BEDT-TTF)$_2$Cu[N(CN)$_2$]Cl ($\kappa$-Cl) upon photodoping with intense excitation at 1.6 eV and probing with continuum pulses…

Strongly Correlated Electrons · Physics 2023-10-31 Konstantin Warawa , Yassine Agarmani , Harald Schubert , Martin Dressel , Michael Lang , Hartmut G. Roskos , Mark D. Thomson

We show that, for fermionic atoms in a one-dimensional optical lattice, the fraction of atoms in doubly occupied sites is a highly non-monotonic function of temperature. We demonstrate that this property persists even in the presence of…

Quantum Gases · Physics 2012-04-30 V. L. Campo , K. Capelle , C. Hooley , J. Quintanilla , V. W. Scarola

Paramagnetic solutions of the ionic Hubbard model at half-filling in dimensions $D>2$ indicate that the band and the Mott insulator phases are separated by a metallic phase. We present zero-temperature dynamical mean-field theory solutions,…

Strongly Correlated Electrons · Physics 2009-11-13 Krzysztof Byczuk , Michael Sekania , Walter Hofstetter , Arno P. Kampf

As a generic model describing quasi-one-dimensional Mott and Peierls insulators, we investigate the Holstein-Hubbard model for half-filled bands using numerical techniques. Combining Lanczos diagonalization with Chebyshev moment expansion…

Strongly Correlated Electrons · Physics 2007-05-23 H. Fehske , G. Wellein , G. Hager , A. Weisse , A. R. Bishop

We demonstrate the existence of an unconventional pairing state in photodoped Mott insulators on ladder and quasi-two-dimensional geometries, characterized by quasi-long-range doublon-holon correlations that signal Mott exciton…

Strongly Correlated Electrons · Physics 2026-04-16 Ryota Ueda , Madhumita Sarkar , Zala Lenarčič , Denis Golež , Kazuhiko Kuroki , Tatsuya Kaneko

The dual-fermion approach offers a way to perform diagrammatic expansion around the dynamical mean-field theory. Using this formalism, the influence of antiferromagnetic fluctuations on the self-energy is taken into account through…

Strongly Correlated Electrons · Physics 2014-12-22 Junya Otsuki , Hartmut Hafermann , Alexander I. Lichtenstein

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…

The influence of spin and charge fluctuations on spectra of the two-dimensional fermionic Hubbard model is considered using the strong coupling diagram technique. Infinite sequences of diagrams containing ladder inserts, which describe the…

Strongly Correlated Electrons · Physics 2018-10-30 A. Sherman

With a combination of numerical methods, including quantum Monte Carlo, exact diagonalization, and a simplified dynamical mean-field model, we consider the attosecond charge dynamics of electrons induced by strong-field laser pulses in…

Strongly Correlated Electrons · Physics 2021-10-08 Christopher Orthodoxou , Amelle Zaïr , George H. Booth