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We study effects of disorder on eigenstates of 1D two-component fermions with infinitely strong Hubbard repulsion. We demonstrate that the spin-independent (potential) disorder reduces the problem to the one-particle Anderson localization…

Disordered Systems and Neural Networks · Physics 2022-07-13 M. S. Bahovadinov , D. V. Kurlov , B. L. Altshuler , G. V. Shlyapnikov

In order to study an interplay of disorder, correlation, and spin imbalance on antiferromagnetism, we systematically explore the ground state of one-dimensional spin-imbalanced Anderson-Hubbard model by using the density-matrix…

Strongly Correlated Electrons · Physics 2017-10-23 M. Okumura , S. Yamada , N. Taniguchi , M. Machida

The magnetic phases induced by the interplay between disorder acting only on particles with a given spin projection ("spin-dependent disorder") and a local repulsive interaction is explored. To this end the magnetic ground state phase…

Strongly Correlated Electrons · Physics 2024-04-26 J. Skolimowski , D. Vollhardt , K. Byczuk

We use the density matrix renormalization group to study the quantum transitions that occur in the half-filled one-dimensional fermionic Hubbard model with onsite potential disorder. We find a transition from the gapped Mott phase with…

Strongly Correlated Electrons · Physics 2016-08-15 Ramesh V. Pai , Alexander Punnoose , Rudolf A. Römer

We study numerically the interplay of disorder and attractive interactions for spin-1/2 fermions in the three-dimensional Hubbard model. The results obtained by projector quantum Monte Carlo simulations show that at moderate disorder,…

Condensed Matter · Physics 2007-05-23 Bhargavi Srinivasan , Giuliano Benenti , Dima L. Shepelyansky

The venerable phenomena of Anderson localization, along with the much more recent many-body localization, both depend crucially on the presence of disorder. The latter enters either in the form of quenched disorder in the parameters of the…

Strongly Correlated Electrons · Physics 2017-07-04 Adam Smith , Johannes Knolle , Dmitry L. Kovrizhin , Roderich Moessner

The many body localization (MBL) of spin-1/2 fermions poses a challenging problem. It is known that the disorder in the charge sector may be insufficient to cause full MBL. Here, we study dynamics of a single hole in one dimensional t-J…

Strongly Correlated Electrons · Physics 2018-01-17 Gal Lemut , Marcin Mierzejewski , Janez Bonca

The two dimensional Hubbard model in the presence of diagonal and off-diagonal disorder is studied at half filling with a finite temperature quantum Monte Carlo method. Magnetic correlations as well as the electronic compressibility are…

Condensed Matter · Physics 2009-10-28 Martin Ulmke , Richard T. Scalettar

Most of our quantitative understanding of disorder-induced metal-insulator transitions comes from numerical studies of simple noninteracting tight-binding models, like the Anderson model in three dimensions. An important outstanding problem…

Quantum Gases · Physics 2020-10-07 Filippo Stellin , Giuliano Orso

We analyze the localization properties of the disordered Hubbard model in the presence of a synthetic magnetic field. An analysis of level spacing ratio shows a clear transition from ergodic to many-body localized phase. The transition…

Disordered Systems and Neural Networks · Physics 2021-01-08 Kuldeep Suthar , Piotr Sierant , Jakub Zakrzewski

The interplay between local, repulsive interactions and disorder acting only on one spin orientation of lattice fermions ("spin-dependent disorder") is investigated. The nonmagnetic disorder vs. interaction phase diagram is computed using…

Disordered Systems and Neural Networks · Physics 2015-09-25 J. Skolimowski , D. Vollhardt , K. Byczuk

The phenomenon of Anderson localization wherein non-interacting electrons are localized by quenched impurities is a subject matter that has been extremely well studied. However, localization transition under the combined influence of…

Strongly Correlated Electrons · Physics 2018-04-24 Shashikant Singh Kunwar , Prabuddha B. Chakraborty , R. Narayanan

The finite temperature phase diagram for the 2D attractive fermion Hubbard model with spin-dependent disorder is considered within Bogoliubov-de Gennes mean field theory. Three types of disorder are studied. In the first, only one species…

Superconductivity · Physics 2013-08-12 Ravindra Nanguneri , Mi Jiang , Tyler Cary , George G. Batrouni , Richard T. Scalettar

We study the entanglement in momentum space of the ground state of a disordered one-dimensional fermion lattice model with attractive interaction. We observe two components in the entanglement spectrum, one of which is related to…

Disordered Systems and Neural Networks · Physics 2017-12-05 Bing-Tian Ye , Zhao-Yu Han , Liang-Zhu Mu , Heng Fan

We study the influence of on-site disorder on the magnetic properties of the ground state of the infinite U 1D Hubbard model. We find that the ground state is not ferromagnetic. This is analyzed in terms of the algebraic structure of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. Eisenberg , R. Berkovits

We review recent progress in our theoretical understanding of strongly correlated fermion systems in the presence of disorder. Results were obtained by the application of a powerful nonperturbative approach, the Dynamical Mean-Field Theory…

Strongly Correlated Electrons · Physics 2015-05-18 K. Byczuk , W. Hofstetter , D. Vollhardt

We study the effects of a random magnetic field on a one-dimensional (1D) spin-1 chain with {\it correlated} nearest-neighbor $XY$ interaction. We show that this spin model can be exactly mapped onto the 1D disordered tight-binding model of…

Disordered Systems and Neural Networks · Physics 2022-12-16 Murod S. Bahovadinov , Wouter Buijsman , Aleksey K. Fedorov , Vladimir Gritsev , Denis V. Kurlov

We investigate Anderson transitions for a system of two particles moving in a three-dimensional disordered lattice and subject to on-site (Hubbard) interactions of strength U. The two-body problem is exactly mapped into an effective…

Disordered Systems and Neural Networks · Physics 2019-07-19 Filippo Stellin , Giuliano Orso

The paper examines a trapped one-dimensional system of multicomponent spinless fermions that interact with a zero-range two-body potential. We show that when the repulsion between particles is very large the system can be approached…

We study the $t{-}V$ disordered spinless fermionic chain in the strong coupling regime, $t/V\rightarrow 0$. Strong interactions highly hinder the dynamics of the model, fragmenting its Hilbert space into exponentially many blocks in system…

Disordered Systems and Neural Networks · Physics 2020-01-01 Giuseppe De Tomasi , Daniel Hetterich , Pablo Sala , Frank Pollmann
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