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The electronic density of states (DOS) quantifies the distribution of the energy levels that can be occupied by electrons in a quasiparticle picture, and is central to modern electronic structure theory. It also underpins the computation…

Materials Science · Physics 2021-01-04 Chiheb Ben Mahmoud , Andrea Anelli , Gábor Csányi , Michele Ceriotti

We introduce a generalization of local density of states which is "windowed" with respect to position and energy, called the windowed local density of states (wLDOS). This definition generalizes the usual LDOS in the sense that the usual…

Mathematical Physics · Physics 2022-10-25 Terry A. Loring , Jianfeng Lu , Alexander B. Watson

Numerical approaches to Anderson localization face the problem of having to treat large localization lengths while being restricted to finite system sizes. We show that by finite-size scaling of the probability distribution of the local…

Strongly Correlated Electrons · Physics 2015-05-18 Gerald Schubert , Jens Schleede , Krzysztof Byczuk , Holger Fehske , Dieter Vollhardt

The local density of states (LDOS) is a distribution that characterizes the effect of perturbations on quantum systems. Recently, it was proposed a semiclassical theory for the LDOS of chaotic billiards and maps. This theory predicts that…

Chaotic Dynamics · Physics 2015-06-05 Darío E. Bullo , Diego A. Wisniacki

We propose a method to probe the local density of states (LDOS) of atomic systems that provides both spatial and energy resolution. The method combines atomic and tunneling techniques to supply a simple, yet quantitative and operational,…

Mesoscale and Nanoscale Physics · Physics 2018-11-22 Daniel Gruss , Chih-Chun Chien , Julio Barreiro , Massimiliano Di Ventra , Michael Zwolak

Quasiperiodic moir\'e materials provide a new platform for realizing critical electronic states, yet a direct and experimentally practical method to characterize this criticality has been lacking. We show that a multifractal analysis of the…

Disordered Systems and Neural Networks · Physics 2025-10-24 Ricardo Oliveira , Nicolau Sobrosa , Pedro Ribeiro , Bruno Amorim , Eduardo V. Castro

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

We investigated the local density of states (LDOS) of a normal metal (N) in good electrical contact with a superconductor (S) as a function of the distance $x$ to the NS interface. The sample consists of a pattern of alternate stripes of Au…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Vinet , C. Chapelier , F. Lefloch

While metamaterials are often desirable for near-field functions, such as perfect lensing, or cloaking, they are often quantified by their response to plane waves from the far field. Here, we present a theoretical analysis of the local…

Optics · Physics 2016-03-01 Per Lunnemann , Femius A. Koenderink

We study the effect of nonmagnetic impurities on the local density of states (LDOS) in s-wave superconductors. The quasiclassical equations of superconductivity are solved selfconsistently to show how LDOS evolves with impurity…

Superconductivity · Physics 2009-11-10 P. Miranovic , M. Ichioka , K. Machida

We investigate numerically the local density of states (LDOS) in the vicinity of a vortex core in a ferromagnetic superconductor. Specifically, we investigate how the LDOS is affected by the relative weight of the spin bands in terms of the…

Superconductivity · Physics 2009-11-13 Jacob Linder , Takehito Yokoyama , Asle Sudbø

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

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

We performed numerical calculations of the local density of states (LDOS) at disorder induced localization-delocalization transitions. The LDOS defines a spatial measure for fixed energy and a spectral measure for fixed position. At the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Bodo Huckestein , Rochus Klesse

On the basis of the quasiclassical theory of superconductivity, we obtain a formula for the local density of states (LDOS) around a vortex core of superconductors with anisotropic pair-potential and Fermi surface in arbitrary directions of…

Superconductivity · Physics 2007-05-23 Yuki Nagai , Yosuke Ueno , Yusuke Kato , Nobuhiko Hayashi

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

The well known Erdos-Turan law states that the logarithm of an order of a random permutation is asymptotically normally distributed. The aim of this work is to estimate convergence rate in this theorem and also to prove analogous result for…

Combinatorics · Mathematics 2009-01-14 Vytas Zacharovas

The local density of states (LDOS) in finite quantum wires is calculated as a function of discrete energies and position along the wire. By using a combination of numerical density matrix renormalization group (DMRG) calculations and…

Strongly Correlated Electrons · Physics 2009-11-13 Imke Schneider , Alexander Struck , Michael Bortz , Sebastian Eggert

We consider a semiclassical formulation for the density of states (DOS) of disordered systems in any dimension. We show that this formulation becomes very accurate when the correlation length of the disorder potential is large. The disorder…

Disordered Systems and Neural Networks · Physics 2009-11-11 J. C. Flores , M. Hilke

It is shown that the local density of states (LDOS), measured in an Scanning Tunneling Microscopy (STM) experiment, at a single tip position contains oscillations as a function of Energy, due to quasiparticle interference, which is related…

Superconductivity · Physics 2013-05-29 Sumiran Pujari , C. L. Henley