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For short-ranged disordered quantum models in one dimension, the Many-Body-Localization is analyzed via the adaptation to the Many-Body context [M. Serbyn, Z. Papic and D.A. Abanin, PRX 5, 041047 (2015)] of the Thouless point of view on the…

Disordered Systems and Neural Networks · Physics 2016-07-11 Cecile Monthus

Strongly correlated fermions in a crystal or in an optical lattice in the presence of binary alloy disorder are investigated. We employ the statistical dynamical mean-field theory, which incorporates both, local fluctuations due to disorder…

Disordered Systems and Neural Networks · Physics 2010-09-15 Denis Semmler , Krzysztof Byczuk , Walter Hofstetter

Many-body localisation is believed to be generically unstable in quantum systems with continuous non-Abelian symmetries, even in the presence of strong disorder. Breaking these symmetries can stabilise the localised phase, leading to the…

Disordered Systems and Neural Networks · Physics 2023-06-14 S. J. Thomson

We investigate many-body localization of interacting spinless fermions in a one-dimensional disordered and tilted lattice. The fermions undergo energy-dependent transitions from ergodic to Stark many-body localization driven by the tilted…

Quantum Physics · Physics 2021-03-03 Li Zhang , Yongguan Ke , Wenjie Liu , Chaohong Lee

We study the robustness of non-local string order in two paradigmatic disordered spin-chain models, a spin-1/2 cluster-Ising and a spin-1 XXZ Heisenberg chain. In the clean case, they both display a transition from antiferromagnetic to…

Statistical Mechanics · Physics 2017-12-27 Marcello Calvanese Strinati , Davide Rossini , Rosario Fazio , Angelo Russomanno

We investigate the itinerant ferromagnetism using a diluted spin-fermion model, derived from a repulsive Hubbard model, where itinerant fermions are coupled antiferromagnetically to auxiliary fields in a three-dimensional simple cubic…

Strongly Correlated Electrons · Physics 2022-01-31 Sourav Chakraborty , Sandip Halder , Kalpataru Pradhan

We study one-dimensional disordered fermions that either undergo metal-insulator transitions or topological phase transitions to become trivial Anderson insulators. We focus on using entanglement to elucidate how the spatial, momentum, and…

Disordered Systems and Neural Networks · Physics 2014-10-01 Ian Mondragon-Shem , Taylor L. Hughes

We study the two-dimensional paramagnetic Anderson-Hubbard model using an extension of dynamical mean-field theory that allows us to treat disorder and strong electronic correlations on equal footing. We investigate the scaling of the…

Strongly Correlated Electrons · Physics 2009-11-13 Yun Song , R. Wortis , W. A. Atkinson

We demonstrate that by considering disordered single-particle Hamiltonians (or their random matrix versions) on ultrametric spaces one can generate an interesting class of models exhibiting Anderson metal-insulator transition. We use the…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Y. V. Fyodorov , A. Ossipov , A. Rodriguez

In presence of strong enough disorder one dimensional systems of interacting spinless fermions at non-zero filling factor are known to be in a many body localized phase. When represented in Fock space, the Hamiltonian of such a system looks…

Disordered Systems and Neural Networks · Physics 2019-05-01 Soumi Ghosh , Atithi Acharya , Subhayan Sahu , Subroto Mukerjee

We study the influence of on-site disorder on the magnetic properties of the ground state of the infinite $U$ Hubbard model. We find that for one dimensional systems disorder has no influence, while for two dimensional systems disorder…

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

We uncover a disorder-driven instability in the diffusive Fermi liquid phase of a class of many-fermion systems, indicative of a metal-insulator transition of first order type, which arises solely from the competition between quenched…

Disordered Systems and Neural Networks · Physics 2009-11-13 Matthew S. Foster , Andreas W. W. Ludwig

The magnetic ground state phase diagram of the disordered Hubbard model at half-filling is computed in dynamical mean-field theory supplemented with the spin resolved, typical local density of states. The competition between many-body…

Strongly Correlated Electrons · Physics 2009-11-13 Krzysztof Byczuk , Walter Hofstetter , Dieter Vollhardt

This study investigates the entanglement properties of disordered free fermion systems undergoing an Anderson phase transition from a delocalized to a localized phase. The entanglement entropy is employed to quantify the degree of…

Strongly Correlated Electrons · Physics 2023-09-26 Mohammad Pouranvari

We present numerical results within the one-dimensional disordered Hubbard model for several characteristic indicators of the many-body localization (MBL). Considering traditionally studied charge disorder (i.e., the same disorder strength…

Strongly Correlated Electrons · Physics 2017-01-26 P. Prelovšek , O. S. Barišić , M. Žnidarič

Motivated by the rapidly growing possibilities for experiments with ultracold atoms in optical lattices we investigate the thermodynamic properties of correlated lattice fermions in the presence of an external spin-dependent random…

Strongly Correlated Electrons · Physics 2015-06-15 K. Makuch , J. Skolimowski , P. B. Chakraborty , K. Byczuk , D. Vollhardt

While many-body localization has primarily been studied in systems with a single local degree of freedom, experimental studies of many-body localization in cold atom systems motivate exploration of the disordered Hubbard model. With two…

Strongly Correlated Electrons · Physics 2019-09-18 Brandon Leipner-Johns , Rachel Wortis

We study the spectral statistics of interacting spinless fermions in a two-dimensional disordered lattice. Within a full quantum treatment for small few-particle-systems, we compute the low-energy many-body states numerically. While at weak…

Strongly Correlated Electrons · Physics 2009-11-10 Gabriel Vasseur , Dietmar Weinmann

We study the problem of two particles with Coulomb repulsion in a two-dimensional disordered potential in the presence of a magnetic field. For the regime, when without interaction all states are well localized, it is shown that above a…

Condensed Matter · Physics 2009-10-31 Giuliano Benenti , Dima L. Shepelyansky

Using the density matrix renormalization group algorithm, we investigate the lattice model for spinless fermions in one dimension in the presence of a strong interaction and disorder. The phase sensitivity of the ground state energy is…

Strongly Correlated Electrons · Physics 2009-10-30 P. Schmitteckert , T. Schulze , C. Schuster , P. Schwab , U. Eckern