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We propose a minimal model to capture the anomalous low-temperature thermodynamics of doped semiconductors, such as Si:P, across the metal-insulator transition. We consider pairs of local magnetic moments coupled to a highly disordered,…

Strongly Correlated Electrons · Physics 2025-11-25 Lucas G. Rabelo , Igor C. Almeida , Eduardo Miranda , Vladimir Dobrosavljević , Eric C. Andrade

We investigate the influence of density, interaction and harmonic confinement on the superfluid to insulator transition (SIT) in disordered fermionic superfluids described by the one-dimensional Hubbard model. We quantify the ground-state…

Superconductivity · Physics 2020-04-08 G. A. Canella , V. V. França

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

We study fermions on a finite chain, interacting repulsively when residing on the same and on nearest-neighbor sites, and subjected to a Wannier-Stark linearly-varying potential. Using the density matrix renormalization-group numerical…

Strongly Correlated Electrons · Physics 2023-10-06 N. Aucar Boidi , K. Hallberg , A. Aharony , O. Entin-Wohlman

We investigate the effects of static, diagonal disorder in the $d=\infty$ Hubbard model by treating the dynamical effects of local Hubbard correlations and disorder on an equal footing. This is achieved by a proper combination of the…

Strongly Correlated Electrons · Physics 2007-05-23 L. Craco , M. S. Laad , E. Müller-Hartmann

The behavior of coupled disordered one-dimensional systems, as modelled by identical fermionic Hubbard chains with the on-site potential disorder and coupling emerging through the inter-chain hopping $t'$, is analysed. The study is…

Disordered Systems and Neural Networks · Physics 2016-10-12 Peter Prelovšek

Entanglement features of the ground state of disordered quantum matter are often captured by an infinite randomness fixed point that, for a variety of models, is the random singlet phase. Although a copious number of studies covers…

Statistical Mechanics · Physics 2020-03-04 Xhek Turkeshi , Paola Ruggiero , Pasquale Calabrese

Using exact diagonalization and quantum Monte Carlo calculations we investigate the effects of disorder on the phase diagram of both non-interacting and interacting models of two-dimensional topological insulators. In the fermion sign…

Strongly Correlated Electrons · Physics 2016-12-21 Hsiang-Hsuan Hung , Aaron Barr , Emil Prodan , Gregory A. Fiete

The ordering of weakly coupled random antiferromagnetic $S=1/2$ chains, as relevant for recent experimentally investigated spin chain materials, is considered theoretically. The one-dimensional isotropic Heisenberg model with random…

Strongly Correlated Electrons · Physics 2015-04-29 J. Kokalj , J. Herbrych , A. Zheludev , P. Prelovšek

We use extensive density matrix renormalization group (DMRG) calculations to explore the phase diagram of the random S=1 antiferromagnetic Heisenberg chain with a power-law distribution of the exchange couplings. We use open chains and…

Statistical Mechanics · Physics 2007-05-23 Péter Lajkó , Enrico Carlon , Heiko Rieger , Ferenc Iglói

We study disordered spin-1 quantum chains with random exchange and biquadratic interactions using a real space renormalization group approach. We find that the dimerized phase of the pure biquadratic model is unstable and gives rise to a…

Condensed Matter · Physics 2009-10-28 Beatriz Boechat , Andreia Saguia , Mucio Continentino

We study interplay of electronic correlation, randomness and dimensionality effects in half-filled random Hubbard chains weakly coupled via an interchain one-particle hopping. Based on the two-loop renormalization-group approach, phase…

Strongly Correlated Electrons · Physics 2007-05-23 Jun-ichiro Kishine , Kenji Yonemitsu

A 1D model hamiltonian that is motivated by the recent discovery of the heavy-fermion behavior in the cuprates of the $Nd_2CuO_4$ type is studied. It consists of $t-J$ interacting conduction electrons coupled to a lattice of localized spins…

Condensed Matter · Physics 2009-10-28 Samuel Moukouri , Liang Chen , Laurent G. Caron

We have studied the extended Hubbard model with pair hopping in the atomic limit for arbitrary electron density and chemical potential. The Hamiltonian considered consists of (i) the effective on-site interaction U and (ii) the intersite…

Strongly Correlated Electrons · Physics 2012-05-01 Konrad Kapcia , Stanisław Robaszkiewicz , Roman Micnas

In the presence of quenched disorder, the interplay between local magnetic-moment formation and Anderson localization for electrons at a zero-temperature, metal-insulator transition (MIT) remains a long unresolved problem. Here, we study…

Disordered Systems and Neural Networks · Physics 2024-10-17 Xinghai Zhang , Matthew S. Foster

Interplay of electron correlation and randomness is studied by using the Anderson-Hubbard model within the Hartree-Fock approximation. Under the coexistence of short-range interaction and diagonal disorder, we obtain the ground-state phase…

Strongly Correlated Electrons · Physics 2009-08-25 Hiroshi Shinaoka , Masatoshi Imada

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

Using the fractional moment method it is shown that, within the Hartree-Fock approximation for the Disordered Hubbard Hamiltonian, weakly interacting Fermions at positive temperature exhibit localization, suitably defined as exponential…

Mathematical Physics · Physics 2021-06-14 Rodrigo Matos , Jeffrey Schenker

We study by the strong disorder renormalization group (RG) method the low-energy properties of the one-dimensional Hubbard model with random-hopping matrix-elements $t_{min}<t<t_{max}$, and with random on-site Coulomb repulsion terms $0 \le…

Disordered Systems and Neural Networks · Physics 2007-05-23 R. Mélin , F. Iglói

We describe the phase diagram of electrons on a fully connected lattice with random hopping, subject to a random Heisenberg spin exchange interactions between any pair of sites and a constraint of no double occupancy. A perturbative…

Strongly Correlated Electrons · Physics 2020-05-20 Darshan G. Joshi , Chenyuan Li , Grigory Tarnopolsky , Antoine Georges , Subir Sachdev
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