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The tunneling spectrum of an inhomogeneously doped extended Hubbard model is calculated at the mean field level. Self-consistent solutions admit both superconducting and antiferromagnetic order, which coexist inhomogeneously because of…

Superconductivity · Physics 2009-11-10 W. A. Atkinson

Localization due to disorder has been one of the most intriguing theoretical concepts evolved in condensed matter. Here, we expand the theory of localization by considering two types of disorder at the same time, namely the original…

Disordered Systems and Neural Networks · Physics 2023-03-03 Mouyang Cheng , Haoxiang Chen , Ji Chen

By employing Random Matrix Theory (RMT) and first-principle calculations, we investigated the behavior of Anderson localization in 1D, 2D and 3D systems characterized by a varying disorder. In particular, we considered random binary layer…

Optics · Physics 2012-08-23 D. Molinari , A. Fratalocchi

We theoretically investigate two-particle and many-particle Anderson localizations of a spin-orbit coupled ultracold atomic Fermi gas trapped in a quasi-periodic potential and subjected to an out-of-plane Zeeman field. We solve exactly the…

Quantum Gases · Physics 2016-05-04 Ye Cao , Gao Xianlong , Xia-Ji Liu , Hui Hu

It has become increasingly clear that a full understanding of the physics of electrons in disordered systems requires an approach in which both disorder and interactions are taken into account. Work on small numbers of electrons has…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jonathan M Carter , Angus MacKinnon

Within the Hartree Fock- RPA analysis, we derive the spin wave spectrum for the weak ferromagnetic phase of the Hubbard model on the honeycomb lattice. Assuming a uniform magnetization, the polar (optical) and acoustic branches of the spin…

Strongly Correlated Electrons · Physics 2007-05-23 M A N Araujo , N M R Peres

In a disordered environment, the probability of transmission of a wave reduces with increasing disorder, the ultimate limit of which is the near-zero transmission due to Anderson localization. Under localizing conditions, transport is…

Disordered Systems and Neural Networks · Physics 2022-06-14 Himadri Sahoo , R Vijay , Sushil Mujumdar

We generalize the Cooper problem to the case of many interacting particles in the vicinity of the Fermi level in the presence of disorder. On the basis of this approach we study numerically the variation of the pair coupling energy in small…

Condensed Matter · Physics 2009-11-07 J. Lages , G. Benenti , D. L. Shepelyansky

Altermagnets constitute a class of collinear compensated N\'eel ordered magnets that break time-reversal symmetry and feature spin-split band structures. Based on versatile microscopic models able to capture the altermagnetic sublattice…

Strongly Correlated Electrons · Physics 2025-07-08 Jannik Gondolf , Andreas Kreisel , Mercè Roig , Yue Yu , Daniel F. Agterberg , Brian M. Andersen

We study the band-centre anomaly in the one-dimensional Anderson model with weak correlated disorder. Our analysis is based on the Hamiltonian map approach; the correspondence between the discrete model and its continuous counterpart is…

Disordered Systems and Neural Networks · Physics 2016-08-08 L. Tessieri , I. F. Herrera-González , F. M. Izrailev

We use the regularized kernel polynomial method (RKPM) to numerically study the effect disorder on a single layer of graphene. This accurate numerical method enables us to study very large lattices with millions of sites, and hence is…

Strongly Correlated Electrons · Physics 2009-08-31 Mohsen Amini , S. A. Jafari , F. Shahbazi

We experimentally investigate the evolution of linear and nonlinear waves in a realization of the Anderson model using disordered one dimensional waveguide lattices. Two types of localized eigenmodes, flat-phased and staggered, are directly…

Magnetic and superconducting instabilities in the two-dimensional t-t'-Hubbard model are discussed within a functional renormalization group approach. The fermionic four-point vertex is efficiently parametrized by means of partial…

Strongly Correlated Electrons · Physics 2013-05-29 S. Friederich , H. C. Krahl , C. Wetterich

Materials which show a strong time-reversal symmetry-breaking response leading to spin-polarization phenomena, in conjunction with antiparallel magnetic alignments producing zero net magnetization, have recently been identified, classified,…

Materials Science · Physics 2025-11-04 Wenhan Chen , Alyn D. N. James , Stephen B. Dugdale

The localization of one-electron states in the large (but finite) disorder limit is investigated. The inverse participation number shows a non--monotonic behavior as a function of energy owing to anomalous behavior of few-site localization.…

Disordered Systems and Neural Networks · Physics 2012-10-02 L. Ujfalusi , I. Varga

We study the properties of the spinor wavefunction in a strongly disordered environment on a two-dimensional lattice. By employing a transfer-matrix calculation we find that there is a transition from delocalized to localized states at a…

Disordered Systems and Neural Networks · Physics 2013-10-09 A. Hill , K. Ziegler

Using analytic and numerical methods, we study a $2d$ Hamiltonian model of interacting particles carrying ferro-magnetically coupled continuous spins which are also locally coupled to their own velocities. This model has been characterised…

Statistical Mechanics · Physics 2020-05-14 Mathias Casiulis , Marco Tarzia , Leticia F. Cugliandolo , Olivier Dauchot

We study the spatial structure of wave functions with exceptionally high local amplitudes in the Anderson model of localisation. By means of exact diagonalisations of finite systems, we obtain and analyse images of these wave functions: we…

Disordered Systems and Neural Networks · Physics 2009-11-07 V. Uski , B. Mehlig , M. Schreiber

Anderson localization predicts that wave spreading in disordered lattices can come to a complete halt, providing a universal mechanism for {dynamical localization}. In the one-dimensional Hermitian Anderson model with uncorrelated diagonal…

Disordered Systems and Neural Networks · Physics 2023-04-18 Stefano Longhi

Quantum particles in a disordered potential, photons or classical waves in a random medium, or the universe expansion in a fluctuating cosmic field, all share Anderson localization as a communality. In general, localization is enhanced for…

Disordered Systems and Neural Networks · Physics 2015-09-07 Hichem Eleuch , Michael Hilke