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We propose a spectral-averaging procedure that enables computation of bandwidth-integrated local density of states (LDOS) from a single scattering calculation, and exploit it to investigate the minimum extinction achievable from dipolar…

The photonic density of states (PDOS), like its' electronic coun- terpart, is one of the key physical quantities governing a variety of phenom- ena and hence PDOS manipulation is the route to new photonic devices. The PDOS is conventionally…

We propose in this article an unambiguous definition of the local density of electromagnetic states (LDOS) in a vacuum near an interface in an equilibrium situation at temperature $T$. We show that the LDOS depends only on the electric…

Optics · Physics 2009-11-10 K. Joulain , R. Carminati , J. -P Mulet , J. -J. Greffet

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

Electron energy-loss spectroscopy (EELS) performed in transmission electron microscopes is shown to directly render the photonic local density of states (LDOS) with unprecedented spatial resolution, currently below the nanometer. Two…

Materials Science · Physics 2012-11-13 F. J. Garcia de Abajo , M. Kociak

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

Bound states around an impurity are investigated for a two dimensional electron system in a strong magnetic field. Long-range Coulomb potential and related potentials are considered. Schr\"odinger equation is solved numerically to obtain…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Daijiro Yoshioka

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

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

We experimentally study spatial fluctuations of the local density of states (LDOS) inside three-dimensional random photonic media. The LDOS is probed at many positions inside the random photonic media by measuring emission rates of a large…

Optics · Physics 2010-07-06 M. D. Birowosuto , S. E. Skipetrov , W. L. Vos , A. P. Mosk

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

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

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

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 derive upper bounds to free-space concentration of electromagnetic waves, mapping out the limits to maximum intensity for any spot size and optical beam-shaping device. For sub-diffraction-limited optical beams, our bounds suggest the…

Optics · Physics 2020-07-08 Hyungki Shim , Haejun Chung , Owen D. Miller

We develop an analytical framework to derive upper bounds to light--matter interactions in the optical near field, where applications ranging from spontaneous-emission amplification to greater-than-blackbody heat transfer show…

Optics · Physics 2019-03-13 Hyungki Shim , Lingling Fan , Steven G. Johnson , Owen D. Miller

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

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

We analyze the local density of states (LDOS) of heterostructures consisting of alternating ferromagnet, $F$, and superconductor, $S$, layers. We consider structures of the $SFS$ and $SFSFSFS$ type, with thin nanometer scale $F$ and $S$…

Superconductivity · Physics 2009-11-10 Klaus Halterman , Oriol T. Valls

We theoretically investigate how the enhancement of the radiative decay rate of a spontaneous emitter provided by coupling to an optical antenna is modified when this "superemitter" is introduced into a complex photonic environment that…

Optics · Physics 2012-12-20 Martin Frimmer , A. Femius Koenderink
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