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We introduce a new approach for proving localization (pure point spectrum with exponentially decaying eigenfunctions, dynamical localization) for the Anderson model at high disorder. In contrast to the usual strategy, we do not study finite…

Mathematical Physics · Physics 2017-08-07 Alexander Elgart , Abel Klein

Using the tight-binding model, we investigate the influence of vacancy disorder on electrical transport in graphene Hall bars in the presence of quantizing magnetic fields. Disorder, induced by a random distribution of monovacancies, breaks…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 M. D. Petrović , F. M. Peeters

We analyse the anomalous properties of specific electronic states in the Kronig-Penney model with weak compositional and structural disorder. Using the Hamiltonian map approach, we show that the localisation length of the electronic states…

Disordered Systems and Neural Networks · Physics 2010-10-06 J. C. Hernández-Herrejón , F. M. Izrailev , L. Tessieri

This work presents recent the progress in the development of the Concurrent Atomistic-Continuum (CAC) method for coarse-grained space- and time-resolved atomistic simulations of phonon transport. Application examples, including heat pulses…

Mesoscale and Nanoscale Physics · Physics 2017-11-09 Xiang Chen , Weixuan Li , Adrian Diaz , Yang Li , David L. McDowell , Youping Chen

Many-body localization (MBL) has attracted significant attention due to its immunity to thermalization, role in logarithmic entanglement entropy growth, and opportunities to reach exotic quantum orders. However, experimental realization of…

We examine the interplay between electron correlations and phonons in an Anderson-Holstein impurity model with an Einstein phonon. When the phonons are slow compared to charge fluctuations (frequency $\omega_0 \ll U/2$, the onsite Coulomb…

Strongly Correlated Electrons · Physics 2025-07-08 Liam L. H. Lau , Andreas Gleis , Daniel Kaplan , Premala Chandra , Piers Coleman

Among the various numerical techniques to study the physics of strongly correlated quantum many-body systems, the self-energy functional approach (SFA) has become increasingly important. In its previous form, however, SFA is not applicable…

Quantum Gases · Physics 2011-08-15 Enrico Arrigoni , Michael Knap , Wolfgang von der Linden

We present a fully three-dimensional Bloch mode expansion technique and photon Green function formalism to compute the quality factor, mode volume, and Purcell enhancement distributions of a disordered W1 photonic crystal slab waveguide in…

Mesoscale and Nanoscale Physics · Physics 2017-06-07 J. P. Vasco , S. Hughes

We study the effect of electron-phonon interaction on current and zero-frequency shot noise in resonant tunneling through a series triple-quantum-dot coupling to a local phonon mode by means of a nonperturbative mapping technique along with…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 X. Y. Shen , Bing Dong , X. L. Lei

The effect of increasing structural disorder on the distribution of contact forces P(f), inside three dimensional particle assemblies is systematically studied using computer simulations of model granular packings. Starting from a…

Soft Condensed Matter · Physics 2011-08-02 Leonardo E. Silbert

We investigate the behavior of ultracold bosons in optical lattices with a disorder potential generated via a secondary species frozen in random configurations. The statistics of disorder is associated with the physical state in which the…

Strongly Correlated Electrons · Physics 2009-11-13 Birger Horstmann , Juan Ignacio Cirac , Tommaso Roscilde

Au-Fe alloys are of immense interest due to their biocompatibility, anomalous hall conductivity, and applications in various medical treatment. However, irrespective of the method of preparation, they often exhibit a high-level of disorder,…

Materials Science · Physics 2017-09-27 Jiban Kangsabanik , Rajiv K. Chouhan , D. D. Johnson , Aftab Alam

Highly mismatched alloys (HMAs) have band structures strongly modified due to the introduction of the alloying element. We consider HMAs where the isolated state of the alloying element is near the host conduction band, which causes the…

Materials Science · Physics 2021-01-13 Hassan Allami , Jacob J. Krich

Point defect species and concentrations in metastable Fe-C alloys are determined using density functional theory and a constrained free-energy functional. Carbon interstitials dominate unless iron vacancies are in significant excess,…

Materials Science · Physics 2007-05-23 Clemens J. Foerst , Jan Slycke , Krystyn J. Van Vliet , Sidney Yip

Wave localization is ubiquitous in disordered media -- from amorphous materials, where soft-mode localization is closely related to materials failure, to semi-conductors, where Anderson localization leads to metal-insulator transition. Our…

Soft Condensed Matter · Physics 2020-07-30 Tingtao Zhou , Dimitrios Fraggedakis , Fan Wang

We present a new embedding scheme for the locally self-consistent method to study disordered electron systems. We test this method in a tight-binding basis and apply it to the single band Anderson model. The local interaction zone is used…

Disordered Systems and Neural Networks · Physics 2019-09-04 Yi Zhang , Hanna Terletska , Ka-Ming Tam , Yang Wang , Markus Eisenbach , Liviu Chioncel , Mark Jarrell

Using the variational cluster approach (VCA), we study the transition from the antiferromagnetic to the superconducting phase of the two-dimensional Hubbard model at zero temperature. Our calculations are based on a new method to evaluate…

Strongly Correlated Electrons · Physics 2007-05-23 M. Aichhorn , E. Arrigoni , M. Potthoff , W. Hanke

We present the detailed treatment of dissipative quantum transport in carbon nanotube field-effect transistors (CNTFETs) using the non-equilibrium Green's function formalism. The effect of phonon scattering on the device characteristics of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Siyuranga O. Koswatta , Sayed Hasan , Mark S. Lundstrom , M. P. Anantram , Dmitri E. Nikonov

he correct estimation of thermal properties of ultra-scaled CMOS and thermoelectric semiconductor devices demands for accurate phonon modeling in such structures. This work provides a detailed description of the modified valence force field…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 Abhijeet Paul , Mathieu Luisier , Gerhard Klimeck

In this study we present a novel Monte-Carlo code, referred to as GNC, which enables the investigation of dynamical relaxation in clusters comprising multiple mass components in the vicinity of supermassive black holes at the centers of…

Astrophysics of Galaxies · Physics 2023-06-08 Fupeng Zhang , Pau Amaro Seoane
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