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Low frequency quasi-localized modes of amorphous glasses appear to exhibit universal density of states, depending on the frequencies as $D(\omega) \sim \omega^4$. To date various models of glass formers with short range binary interaction,…

Statistical Mechanics · Physics 2020-07-15 Prasenjit Das , H. George E. Hentschel , Edan Lerner , Itamar Procaccia

We study the Fourier transform of the local density of states (LDOS) in graphene in the presence of a single impurity at high magnetic field. We find that the most pronounced features occur for energies of the STM tip matching the Landau…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Cristina Bena

The infinite-$U$ single impurity Anderson model for rare earth alloys is examined with a new set of self-consistent coupled integral equations, which can be embedded in the large $N$ expansion scheme ($N$ is the local spin degeneracy). The…

Condensed Matter · Physics 2009-10-28 F B Anders

A real space diagrammatic method, which is an extension of the Berezinskii technique to problems with periodic boundary condition, is formulated to study the density of states (DOS) \rho(\epsilon,\phi) and its moments for a one-channel…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 H. Feldmann , E. P. Nakhmedov , R. Oppermann

Perhaps surprisingly, recent studies have shown probabilistic model likelihoods have poor specificity for out-of-distribution (OOD) detection and often assign higher likelihoods to OOD data than in-distribution data. To ameliorate this…

In a recent Comment (cond-mat/9701197) on our Letter (PRL 77, 3013 (1996), cond-mat/9604176) Nersesyan and Tsvelik questioned the relevance of our exact calculation of the density of states (DOS) of a 2D d-wave superconductor using a…

Superconductivity · Physics 2008-02-03 K. Ziegler , M. H. Hettler , P. J. Hirschfeld

We investigate how free probability allows us to approximate the density of states in tight binding models of disordered electronic systems. Extending our previous studies of the Anderson model in neighbor interactions [J. Chen et al.,…

Disordered Systems and Neural Networks · Physics 2018-06-04 Matthew Welborn , Jiahao Chen , Troy Van Voorhis

We demonstrate how potential impurities are a very powerful tool for determining the pairing symmetry in graphene proximity-coupled to a spin-singlet superconductor. All d-wave states are characterized by subgap resonances, with spatial…

Superconductivity · Physics 2018-06-20 Oladunjoye A. Awoga , Annica M. Black-Schaffer

The density of states of one-dimensional disordered electron systems with long range Coulomb interaction is studied in the weak pinning limit. The density of states is found to follow a power law with an exponent determined by localization…

Strongly Correlated Electrons · Physics 2009-11-07 Hyun C. Lee

We present a detailed numerical study of the electronic transport properties of bilayer and trilayer graphene within a framework of single-electron tight-binding model. Various types of disorder are considered, such as resonant (hydrogen)…

Mesoscale and Nanoscale Physics · Physics 2011-01-04 Shengjun Yuan , Hans De Raedt , Mikhail I. Katsnelson

We demonstrate how an effective density of states can be derived from the S-matrix describing a coupled-channel system. Besides the locations of poles, the phase of the determinant of the S-matrix encodes essential details in characterizing…

High Energy Physics - Phenomenology · Physics 2020-09-09 Pok Man Lo

We calculate the local density of states (LDOS) of a superconductor-normal metal sandwich at arbitrary impurity concentration. The presence of the superconductor induces a gap in the normal metal spectrum that is proportional to the inverse…

Superconductivity · Physics 2009-10-31 S. Pilgram , W. Belzig , C. Bruder

Angle resolved photoelectron spectroscopy (ARPES) on azimuthally disordered graphite demonstrates that sharp quasiparticle dispersions along the radial direction can coexist with a complete lack of dispersion along the azimuthal direction.…

Materials Science · Physics 2007-05-23 S. Y. Zhou , G. -H. Gweon , C. D. Spataru , J. Graf , D. -H. Lee , Steven G. Louie , A. Lanzara

The electronic properties of a semi-infinite metal surface without a bulk gap are studied by a formalism able to account for the continuous spectrum of the system. The density of states at the surface is calculated within the $GW$…

Materials Science · Physics 2008-11-24 G. Fratesi , G. P. Brivio , Patrick Rinke , R. W. Godby

The spectral density of random graphs with topological constraints is analysed using the replica method. We consider graph ensembles featuring generalised degree-degree correlations, as well as those with a community structure. In each case…

Disordered Systems and Neural Networks · Physics 2011-04-08 Tim Rogers , Conrad Pérez Vicente , Koujin Takeda , Isaac Pérez Castillo

We present experimental evidence for the different mechanisms driving the fluctuations of the local density of states (LDOS) in disordered photonic systems. We establish a clear link between the microscopic structure of the material and the…

Disordered Systems and Neural Networks · Physics 2017-08-02 F. Riboli , F. Uccheddu , G. Monaco , N. Caselli , F. Intonti , M. Gurioli , S. E. Skipetrov

The mesoscopic fluctuations of the Density of electronic States (DoS) and of the conductivity of two- and three- dimensional lattices with randomly distributed substitutional impurities are studied. Correlations of the levels lying above…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 E. P. Nakhmedov , V. N. Prigodin , E. Sasioglu

Unitary limit for model point scatterers in graphene is known to reveal low-energy resonances. The same limit could be achieved from hybridization of band electrons with the localized impurity level positioned in the vicinity of the Fermi…

Mesoscale and Nanoscale Physics · Physics 2013-04-18 V. V. Mkhitaryan , E. G. Mishchenko

We consider estimating average treatment effects (ATE) of a binary treatment in observational data when data-driven variable selection is needed to select relevant covariates from a moderately large number of available covariates…

Methodology · Statistics 2020-10-27 David Cheng , Abhishek Chakrabortty , Ashwin N. Ananthakrishnan , Tianxi Cai

We consider the $d$-dimensional Anderson model, and we prove the density of states is locally analytic if the single site potential distribution is locally analytic and the disorder is large. We employ the random walk expansion of…

Mathematical Physics · Physics 2015-06-04 M. Kaminaga , M. Krishna , S. Nakamura