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Domain specific localization of eigenstates has been a persistent observation for systems with local symmetries. The underlying mechanism for this localization behaviour has however remained elusive. We provide here an analysis of locally…

Quantum Physics · Physics 2024-01-19 Peter Schmelcher

We consider a disordered Hubbard model, and show that, at sufficiently weak disorder, a single spin-down mobile impurity can thermalize an extensive initially localized system of spin-up particles. Thermalization is enabled by resonant…

Disordered Systems and Neural Networks · Physics 2021-01-26 Ulrich Krause , Théo Pellegrin , Piet W. Brouwer , Dmitry A. Abanin , Michele Filippone

In most of the successful versions of covariant density functional theory in nuclei, the Fock terms are not included explicitly, which leads to local functionals and forms the basis of their widespread applicability at present. However, it…

Nuclear Theory · Physics 2012-09-04 Haozhao Liang , Pengwei Zhao , Peter Ring , Xavier Roca-Maza , Jie Meng

The localized Hartree-Fock potential has proven to be a computationally efficient alternative to the optimized effective potential, preserving the numerical accuracy of the latter and respecting the exact properties of being…

Quantum Physics · Physics 2015-08-18 V. U. Nazarov , G. Vignale

A resonant level strongly coupled to a local phonon under nonequilibrium conditions is investigated. The nonequilibrium Hartree-Fock approximation is shown to correspond to approximating the steady state density matrix by delta functions at…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. Mitra , I. Aleiner , A. J. Millis

We consider a refinement of the usual Hartree-Fock method applied to the 2D Hubbard model, in Nambu spinor formulation. The new element is the addition of a "condensate inducing" term proportional to a variational parameter h to the…

Strongly Correlated Electrons · Physics 2024-07-09 Kazue Matsuyama , Jeff Greensite

Attractive non-local interactions jointly with repulsive local interaction in a microscopic modelling of electronic Fermi liquids generate a competition between an enhancement of the static charge susceptibility---ultimately signalling…

Strongly Correlated Electrons · Physics 2016-12-13 Raymond Fresard , Kevin Steffen , Thilo Kopp

Understanding the magnetic response of the normal state of the cuprates is considered a key piece in solving the puzzle of their high-temperature superconductivity. The essential physics of these materials is believed to be captured by the…

The experimental realization of time dependent ultracold lattice systems has paved the way towards the implementation of new Hubbard-like Hamiltonians. We show that in a one dimensional two components lattice dipolar Fermi gas the…

Quantum Gases · Physics 2017-12-08 S. Fazzini , A. Montorsi , M. Roncaglia , L. Barbiero

Density of states, dynamic (optical) conductivity and phase diagram of strongly correlated and strongly disordered paramagnetic Anderson-Hubbard model are analyzed within the generalized dynamical mean field theory (DMFT+\Sigma…

Strongly Correlated Electrons · Physics 2009-11-13 E. Z. Kuchinskii , I. A. Nekrasov , M. V. Sadovskii

We study the real-time dynamics of a two-dimensional Anderson--Hubbard model using nonequilibrium self-consistent perturbation theory within the second-Born approximation. When compared with exact diagonalization performed on small…

Disordered Systems and Neural Networks · Physics 2016-03-11 Yevgeny Bar Lev , David R. Reichman

The one-band Hubbard model at half-filling on a truncated tetrahedron (C$_{12}$), and on the C$_{60}$ molecule is studied. Within the Hartree-Fock approximation, we find a magnetic-like instability of the `Fermi sea' towards a spin-ordered…

Condensed Matter · Physics 2014-10-13 L. Bergomi , J. P. Blaizot , Th. Jolicoeur , E. Dagotto

In the limit of infinite spatial dimensions a thermodynamically consistent theory of the strongly correlated electron systems, which is valid for arbitrary value of the Coulombic interaction ($U<\infty$), is built. For the Hubbard model the…

Strongly Correlated Electrons · Physics 2007-05-23 A. M. Shvaika

We explore how interactions can facilitate classical like dynamics in models with sequentially activated hopping. Specifically, we add local and short range interaction terms to the Hamiltonian, and ask for conditions ensuring the evolution…

Quantum Physics · Physics 2022-09-20 Matthew Wampler , Israel Klich

We study bulk particle transport in a Fermi-Hubbard model on an infinite-dimensional Bethe lattice, driven by a constant electric field. Previous numerical studies showed that one dimensional analogs of this system exhibit a breakdown of…

Disordered Systems and Neural Networks · Physics 2026-01-09 Hristiana Atanasova , André Erpenbeck , Emanuel Gull , Yevgeny Bar Lev , Guy Cohen

We supplement the determinantal and Pfaffian bounds of Sims and Warzel (Commun Math Phys 347:903--931, 2016) for many-body localization of quasi-free fermions, by considering the high dimensional case and complex-time correlations. Our…

Mathematical Physics · Physics 2019-02-05 N. J. B. Aza , J. -B. Bru , W. de Siqueira Pedra

For the Fermi-Hubbard model in the Mott insulator phase, we employ the hierarchy of correlations to study how doublon and holon quasi-particle excitations are affected by adding disorder to the system. We study two types of disorder: charge…

We study the unitary time evolution of antiferromagnetic order in the Hubbard model after a quench starting from the perfect N\'eel state. In this setup, which is well suited for experiments with cold atoms, one can distinguish…

Strongly Correlated Electrons · Physics 2015-09-23 Karsten Balzer , F. Alexander Wolf , Ian P. McCulloch , Philipp Werner , Martin Eckstein

We have considered the half-filled disordered attractive Hubbard model on a square lattice, in which the on-site attraction is switched off on a fraction $f$ of sites, while keeping a finite $U$ on the remaining ones. Through Quantum Monte…

Superconductivity · Physics 2009-11-13 Felipe Mondaini , Thereza Paiva , Raimundo R. dos Santos , R. T. Scalettar

The Hubbard model and extended Hubbard model on the honeycomb lattice can be seen as prototype models of single layer graphene placed in a high dielectric constant environment that screens the Coulomb interaction. Taking advantage of the…

Strongly Correlated Electrons · Physics 2014-09-23 Wei Wu , A. -M. -S. Tremblay
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