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The Hubbard model is a challenging quantum many-body problem and serves as a benchmark for quantum computing research. Accurate computation of its ground and excited state energies is essential for understanding correlated electron systems.…

Quantum Physics · Physics 2025-09-03 Mrinal Dev , Bikash K. Behera , Vivek Vyas , Prasanta K. Panigrahi

We study the Mott transition in a frustrated Hubbard model with next-nearest neighbor hopping at half-filling. The interplay between interaction, dimensionality and geometric frustration closes the one-dimensional Mott gap and gives rise to…

Strongly Correlated Electrons · Physics 2012-09-19 Marcin Raczkowski , Fakher F. Assaad

The Hubbard model is a prototype for strongly correlated electrons in condensed matter, for molecules and fermions or bosons in optical lattices. While the equilibrium properties of these systems have been studied in detail, the excitation…

Strongly Correlated Electrons · Physics 2014-07-08 M. Bonitz , S. Hermanns , K. Balzer

Highly intense electric field pulses can move the electronic momentum occupation in correlated metals over large portions of the Brillouin zone, leading to phenomena such as dynamic Bloch oscillations. Using the non-equilibrium…

Strongly Correlated Electrons · Physics 2020-04-14 Nagamalleswararao Dasari , Martin Eckstein

Periodically driven quantum many-body systems host unconventional behavior not realized at equilibrium. Here we investigate such a setup for strongly interacting spinless fermions on a chain, which at zero temperature and strong…

Strongly Correlated Electrons · Physics 2024-05-15 Alexander Osterkorn , Constantin Meyer , Salvatore R. Manmana

A perturbation theory scheme in terms of electron hopping, which is based on the Wick theorem for Hubbard operators, is developed. Diagrammatic series contain single-site vertices connected by hopping lines and it is shown that for each…

Strongly Correlated Electrons · Physics 2009-10-31 A. M. Shvaika

Using an imaginary-time path integral approach, we develop the perturbation theory suited to the boson Hubbard model, and apply it to calculate the effects of a dilute gas of spin-polarized fermions weakly interacting with the bosons. The…

Strongly Correlated Electrons · Physics 2008-12-08 R. M. Lutchyn , S. Tewari , S. Das Sarma

We propose to combine the Floquet formalism for systems in ac fields with the dynamical mean-field theory to study correlated electron systems periodically driven out of equilibrium by external fields such as intense laser light. This…

Strongly Correlated Electrons · Physics 2009-01-23 Naoto Tsuji , Takashi Oka , Hideo Aoki

Time-dependent electromagnetic drives are fundamental for controlling complex quantum systems, including superconducting Josephson circuits. In these devices, accurate time-dependent Hamiltonian models are imperative for predicting their…

Ultracold atomic gas provides a useful tool to explore many-body physics. One of the recent additions to this experimental toolbox is the Floquet engineering, where periodic modulation of the Hamiltonian allows the creation of effective…

We develop a unified theoretical picture for excitations in Mott systems, portraying both the heavy quasiparticle excitations and the Hubbard bands as features of an emergent Fermi liquid state formed in an extended Hilbert space, which is…

Strongly Correlated Electrons · Physics 2017-11-22 Nicola Lanatà , Tsung-Han Lee , Yongxin Yao , Vladimir Dobrosavljević

Within the Hubbard-Holstein model with long-range Coulomb forces, we revisit the charge-ordering scenario for the superconducting cuprates and account for the presence or the absence of a formed stripe phase in different classes of…

Superconductivity · Physics 2009-11-07 C. Di Castro , M. Grilli , S. Caprara

The extended Hubbard Hamiltonian is a widely accepted model for uncovering the effects of strong correlations on the phase diagram of low-dimensional systems, and a variety of theoretical techniques have been applied to it. In this paper…

Strongly Correlated Electrons · Physics 2007-09-07 H. A. Craig , C. N. Varney , W. E. Pickett , R. T. Scalettar

In quantum simulation, many-body phenomena are probed in controllable quantum systems. Recently, simulation of Bose-Hubbard Hamiltonians using cold atoms revealed previously hidden local correlations. However, fermionic many-body Hubbard…

Mesoscale and Nanoscale Physics · Physics 2016-04-26 J. Salfi , J. A. Mol , R. Rahman , G. Klimeck , M. Y. Simmons , L. C. L. Hollenberg , S. Rogge

We study the superconducting properties of population-imbalanced ultracold Fermi mixtures in one-dimensional (1D) optical lattices that can be effectively described by the spin-imbalanced attractive Hubbard model (AHM) in the presence of a…

Quantum Gases · Physics 2017-03-16 Andrzej Ptok , Agnieszka Cichy , Karen Rodríguez , Konrad J. Kapcia

Correlation effects in CuO$_2$ layers give rise to a complicated landscape of collective excitations in high-T$_{\rm c}$ cuprates. Their description requires an accurate account for electronic fluctuations at a very broad energy range and…

Strongly Correlated Electrons · Physics 2018-11-09 E. A. Stepanov , L. Peters , I. S. Krivenko , A. I. Lichtenstein , M. I. Katsnelson , A. N. Rubtsov

Using the negative U Hubbard model we analyze normal state properties of a superconductor. In this model there exists a characteristic pairing temperature T_P above a superconducting critical temperature. Below T_P electrons start to form…

Superconductivity · Physics 2009-11-07 Grzegorz Litak

Elucidating the physics of the single-orbital Hubbard model in its intermediate coupling regime is a key missing ingredient to our understanding of metal-insulator transitions in real materials. Using recent non-perturbative many-body…

Strongly Correlated Electrons · Physics 2024-10-10 Maria Chatzieleftheriou , Silke Biermann , Evgeny A. Stepanov

A review is given of a relativistic non-Abelian gauge theory approach to the physics of spin-charge separation in doped quantum antiferromagnetic planar systems, proposed recently by the authors. Emphasis is put on the effects of constant…

Condensed Matter · Physics 2015-06-25 K. Farakos , N. E. Mavromatos

A necessary condition for superconductivity (SC) driven by electron correlations is that electron-electron (e-e) interactions enhance superconducting pair-pair correlations, relative to the noninteracting limit. We report high-precision…

Superconductivity · Physics 2016-04-08 Niladri Gomes , W. Wasanthi De Silva , Tirthankar Dutta , R. Torsten Clay , Sumit Mazumdar
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