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We calculate the average single particle density of states in graphene with disorder due to impurity potentials. For unscreened short-ranged impurities, we use the non-self-consistent and self-consistent Born and $T$-matrix approximations…

Mesoscale and Nanoscale Physics · Physics 2008-10-18 Ben Yu-Kuang Hu , E. H. Hwang , S. Das Sarma

We study the density of states (DOS) in diffusive superconductors with pointlike magnetic impurities of arbitrary strength described by the Poissonian statistics. The mean-field theory predicts a nontrivial structure of the DOS with the…

Superconductivity · Physics 2016-04-26 Yakov V. Fominov , Mikhail A. Skvortsov

The global density of states (GDOS) close to the band center $\epsilon=0$ for a particle hopping on a square lattice and subjected to disorder that preserves the bipartite symmetry of the lattice is computed using field theoretical methods.…

Disordered Systems and Neural Networks · Physics 2015-06-24 Shinsei Ryu , Christopher Mudry , Akira Furusaki

In this paper we systemically study the optical conductivity and density of states of disorded graphene beyond the Dirac cone approximation. The optical conductivity of graphene is computed by using the Kubo formula, within the framework of…

Mesoscale and Nanoscale Physics · Physics 2011-11-08 Shengjun Yuan , Rafael Roldán , Hans De Raedt , Mikhail I. Katsnelson

We study the average density of resonances (DOR) of a disordered one-dimensional continuous open system. The disordered system is semi-infinite, with white-noise random potential, and it is coupled to the external world by a semi-infinite…

Disordered Systems and Neural Networks · Physics 2015-05-13 Joshua Feinberg

We study the average density of resonances (DOR) for a semi-infinite disordered chain, coupled to the outside world by a (semi-infinite) perfect lead. A set of equations is derived, which provides the general framework for calculating the…

Disordered Systems and Neural Networks · Physics 2009-11-13 Hervé Kunz , Boris Shapiro

We compute the density of states (d.o.s.) in N coupled chains with random hopping. At zero energy, the d.o.s. shows a singularity that strongly depends on the parity of N. For odd N, the d.o.s. is proportional to 1/(E (\ln |E|)^3), with and…

Disordered Systems and Neural Networks · Physics 2009-10-31 P. W. Brouwer , C. Mudry , A. Furusaki

The density of states (DOS) of graphene underneath a metal is estimated through a quantum capacitance measurement of the metal/graphene/SiO2/n+-Si contact structure fabricated by a resist-free metal deposition process. Graphene underneath…

Materials Science · Physics 2013-07-22 Ryota Ifuku , Kosuke Nagashio , Tomonori Nishimura , Akira Toriumi

The density of states (DoS), $\varrho(E)$, of graphene is investigated numerically and within the self-consistent T-matrix approximation (SCTMA) in the presence of vacancies within the tight binding model. The focus is on compensated…

Mesoscale and Nanoscale Physics · Physics 2014-11-07 V. Haefner , J. Schindler , N. Weik , T. Mayer , S. Balakrishnan , R. Narayanan , S. Bera , F. Evers

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

Algebraic and geometric mean density of states in disordered systems may reveal properties of electronic localization. In order to understand the topological phases with disorder in two dimensions, we present the calculated density of…

Mesoscale and Nanoscale Physics · Physics 2013-12-02 Yan-Yang Zhang , Shun-Qing Shen

We evaluate the density of states (DOS) associated with tridiagonal symmetric Hamiltonian matrices and study the effect of perturbation on one of its entries. Analysis is carried out by studying the resulting three-term recursion relation…

Materials Science · Physics 2011-11-09 H. Bahlouli , A. D. Alhaidari , M. S. Abdelmonem

The present work represents a review for the numerical calculation of the density of states (DoS) for two-dimensional tight-binding models with first neighbors in its normal state and for two superconducting order parameters. One is a…

Superconductivity · Physics 2023-06-16 P. Contreras , A. Devi , D. Uzcategui , E. Ochoa

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

The density of states and differential entropy per particle are analyzed for Dirac-like electrons in graphene subjected to a perpendicular magnetic field and an in-plane electric field. For comparison, the derived density of states is…

Mesoscale and Nanoscale Physics · Physics 2025-02-25 Andrii A. Chaika , Yelizaveta Kulynych , D. O. Oriekhov , Sergei G. Sharapov

We study systems with energy bands in two dimensions, hosting higher order Van Hove singularities (HOVHS) in the presence of disorder, using standard diagrammatic techniques for impurity averaging. In the clean limit, such singularities…

Strongly Correlated Electrons · Physics 2022-03-21 Anirudh Chandrasekaran , Joseph J. Betouras

We review work on the problem of disorder in the 2D d-wave superconducting state, and show that the symmetries of the normal state and the disorder distribution are vital for understanding the low-energy behavior. Most previous theoretical…

Superconductivity · Physics 2007-05-23 P. J. Hirschfeld , W. A. Atkinson

Motivated by current interest in disordered systems of interacting electrons, the effectiveness of the geometrically averaged density of states, $\rho_g(\omega)$, as an order parameter for the Anderson transition is examined. In the context…

Strongly Correlated Electrons · Physics 2009-11-11 Yun Song , W. A. Atkinson , R. Wortis

We study the density of states (DOS) for disordered systems whose spectral statistics can be described by a Gaussian ensemble of almost diagonal Hermitian random matrices. The matrices have independent random entries $ H_{i \geq j} $ with…

Disordered Systems and Neural Networks · Physics 2016-08-31 Oleg Yevtushenko , Vladimir E. Kravtsov

The electronic density of states (DOS) highlights fundamental properties of materials that oftentimes dictate their properties, such as the band gap and Van Hove singularities. In this short note, we discuss how sharp features of the…

Materials Science · Physics 2021-03-08 M. Y. Toriyama , A. M. Ganose , M. Dylla , S. Anand , J. Park , M. K. Brod , J. Munro , K. A. Persson , A. Jain , G. J. Snyder
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