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Taking into account that a proper description of disordered systems should focus on distribution functions, the authors develop a powerful numerical scheme for the determination of the probability distribution of the local density of states…

Disordered Systems and Neural Networks · Physics 2013-06-20 Gerald Schubert , Alexander Weisse , Gerhard Wellein , Holger Fehske

We explore correlations of inhomogeneous local density of states (LDoS) for impure superconductors with different symmetries of the order parameter (s-wave and d-wave) and different types of scatterers (elastic and magnetic impurities). It…

Superconductivity · Physics 2012-06-08 A. E. Koshelev , A. A. Varlamov

We develop a theory of the local density of states (LDOS) of disordered superconductors, employing the non-linear sigma-model formalism and the renormalization-group framework. The theory takes into account the interplay of disorder and…

Mesoscale and Nanoscale Physics · Physics 2016-08-09 I. S. Burmistrov , I. V. Gornyi , A. D. Mirlin

We measured the local density of states (LDOS) of a quasi two-dimensional (2D) electron system near point defects on a surface of highly oriented pyrolytic graphite (HOPG) with scanning tunneling microscopy and spectroscopy. Differential…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Y. Niimi , H. Kambara , T. Matsui , D. Yoshioka , Hiroshi Fukuyama

The local density of states (LDOS) of the adsorbate induced two-dimensional electron system (2DES) on n-InAs(110) is studied by low-temperature scanning tunneling spectroscopy. In contrast to a similar 3DES, the 2DES LDOS exhibits 20 times…

Disordered Systems and Neural Networks · Physics 2009-11-07 M. Morgenstern , J. Klijn , Chr. Meyer , R. A. Roemer , R. Wiesendanger

The distribution function of local amplitudes of single-particle states in disordered conductors is calculated on the basis of the supersymmetric $\sigma$-model approach using a saddle-point solution of its reduced version. Although the…

Condensed Matter · Physics 2009-10-28 Vladimir I. Fal'ko , K. Efetov

The spatial structure of wave functions of anomalously localized states (ALS) in disordered conductors is studied in the framework of the $\sigma$--model approach. These states are responsible for slowly decaying tails of various…

Condensed Matter · Physics 2009-10-28 Alexander D. Mirlin

We present numerical calculations of the Local Density of Optical States (LDOS) in the near field of disordered plasmonic films. The calculations are based on an integral volume method, that takes into account polarization and retardation…

Optics · Physics 2015-06-04 A. Cazé , R. Pierrat , R. Carminati

The interplay of superconductivity and disorder generates a wealth of complex phenomena. In particular, the peculiar structure of diffusive electronic wavefunctions is predicted to increase the superconducting critical temperature in some…

Superconductivity · Physics 2023-05-17 Mathieu Lizée , Matthias Stosiek , Christophe Brun , Igor Burmistrov , Tristan Cren

We measure the statistical distribution of the local density of optical states (LDOS) on disordered semi-continuous metal films. We show that LDOS fluctuations exhibit a maximum in a regime where fractal clusters dominate the film surface.…

Optics · Physics 2015-05-19 V. Krachmalnicoff , E. Castanié , Y. De Wilde , R. Carminati

Motivated by recent high-resolution scanning tunneling microscopy (STM) experiments in the quantum Hall regime both on massive two-dimensional electron gas and on graphene, we consider theoretically the disorder averaged nonlocal…

Mesoscale and Nanoscale Physics · Physics 2011-04-04 T. Champel , S. Florens , M. E. Raikh

Based on a simple approximation scheme we have computed the local density of states (LDOS) of the antiferromagnetic and ferromagnetic Kondo models for the full range of band occupations and coupling strengths. For both models the LDOS with…

Strongly Correlated Electrons · Physics 2015-06-24 P. Sinjukow , D. Meyer , W. Nolting

Motivated by high-accuracy scanning tunneling spectroscopy measurements on disordered two-dimensional electron gases in strong magnetic field, we present an exact solution for the local density of states (LDoS) of electrons moving in an…

Mesoscale and Nanoscale Physics · Physics 2009-10-29 Thierry Champel , Serge Florens

Using a Scanning Tunneling Microscope (STM), we investigate the Local Density of States (LDOS) of artificially fabricated normal metal nano-structures in contact with a superconductor. Very low temperature local spectroscopic measurements…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 W. Escoffier , C. Chapelier , F. Lefloch

We study the basic features of the local density of states (LDOS) observed in STM experiments on high-T$_c$ d-wave superconductors in the context of a minimal model of a d-wave superconductor which has {\it weakly} modulated off-diagonal…

Superconductivity · Physics 2015-05-14 Dimitrios Galanakis , Stefanos Papanikolaou

We calculate self-consistently the local density of states (LDOS) of a d-wave superconductor considering the scattering of the quasiparticles off randomly distributed impurities and off externally induced vortices. The impurities and the…

Superconductivity · Physics 2009-11-11 J. Lages , P. D. Sacramento

We study the diffusion of a particle on a random lattice with fluctuating local connectivity of average value q. This model is a basic description of relaxation processes in random media with geometrical defects. We analyze here the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Jean-Yves Fortin

Statistics of the local density of states in the two-dimensional Falicov-Kimball model with local disorder is studied by employing the statistical dynamical mean-field theory. Within the theory the local density of states and its…

Strongly Correlated Electrons · Physics 2008-01-08 Tran Minh-Tien

We report an efficient quantum algorithm for estimating the local density of states (LDOS) on a quantum computer. The LDOS describes the redistribution of energy levels of a quantum system under the influence of a perturbation. Sometimes…

Quantum Physics · Physics 2009-11-10 Joseph Emerson , Seth Lloyd , David Poulin , David Cory

By computational optimization of air-void cavities in metallic substrates, we show that the local density of states (LDOS) can reach within a factor of $\approx 10$ of recent theoretical upper limits, and within a factor $\approx 4$ for the…

Optics · Physics 2020-08-04 Wenjie Yao , Mohammed Benzaouia , Owen D. Miller , Steven G. Johnson
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