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At least 19 records

Localized states and their stability in an anharmonic medium with a nonlinear defect

A comprehensive analysis of soliton states localized near a plane defect (a defect layer) possessing nonlinear properties is carried out within a quasiclassical approach for different signs of nonlinearity of the medium and different characters of interaction of elementary excitations of the medium with the defect. A quantum interpretation is given to these nonlinear localized modes as a bound state of a large number of elementary excitations. The domains of existence of such states are determined, and their properties are analyzed as a function of the character of interaction of elementary excitations between each other and with the defect. A full analysis of the stability of all the localized states with respect to small perturbations of amplitude and phase is carried out analytically, and the frequency of small oscillations of the state localized on the defect is determined.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗

Effect of the Chemical Composition of TlIn{sub 1 –} {sub x}Er{sub x}S{sub 2} (0 ≤ x ≤ 0.01) Crystals on Their Dielectric Characteristics and the Parameters of Localized States

The frequency dependences of the real (ε') and imaginary (ε'') parts of the complex dielectric permittivity, the dielectric loss tangent (tanδ), and the ac conductivity (σ{sub ac}) in the frequency range f = 5 × 10{sup 4}–3.5 × 10{sup 7} Hz have been studied in the TlIn{sub 1 –} {sub x}Er{sub x}S{sub 2} (0 ≤ x ≤ 0.01) crystals synthesized in this work. It is found that, in TlIn{sub 1 –} {sub x}Er{sub x}S{sub 2}, the relaxation dispersions of ε' and ε'' take place. The effect of the erbium concentration (Er) in the TlIn{sub 1 –} {sub x}Er{sub x}S{sub 2} crystals on their dielectric coefficients has been studied. At high frequencies, the ac conductivity of the TlIn{sub 1 –} {sub x}Er{sub x}S{sub 2} crystals obeys the relationship σ{sub ac} ~ f {sup 0.8}, which is characteristic of the hopping mechanism of the charge transfer over states localized near the Fermi level. The parameters of the states localized in the forbidden band of TlIn{sub 1 –} {sub x}Er{sub x}S{sub 2} and the influence of the chemical composition of the crystals on these parameters are estimated.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

Localized states induced by an oxygen vacancy in rutile TiO{sub 2}

Using density functional theory and model Hamiltonian analysis, we investigate the localized states induced by an oxygen vacancy in rutile TiO{sub 2}. We identify two classes of localized states—the hybrid and the polaron. The hybrid state is caused by the orbital overlap between three Ti atoms next to a vacancy and is mainly derived from the Ti e{sub g} orbitals. The polaron state is caused by the local lattice distortion and is mainly composed of one particular t{sub 2g} orbital from a single Ti atom. The first principles calculation shows that the polaron state is energetically favored, and the tight-binding analysis reveals the underlying connection between the bulk band structure and the orbital character of the polaron. The magnetic coupling between two nearby polaron states is found to be ferromagnetic. Using this picture, we analyze the results of recent theoretical calculations and experiments and discuss the connection to vacancies in SrTiO{sub 3}.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

Topological Insulator: Surface Localized States

The possibility of formation of the localized states near the surface for the sample with small energy gap value in the bulk excitation spectrum is analysed. The existence of such a phenomenon is more realistic for narrow gap insulator with conic singularity in the excitation spectrum. Nevertheless, existence of such singularity is not sufficient for formation of surface localized states. Essential role is played by additional potential, which creates the surface.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

Localized states in a semiconductor quantum ring with a tangent wire

We extend a special kind of localized state trapped at the intersection due to the geometric confinement, first proposed in a three-terminal-opening T-shaped structure [L. A. Openov, Europhys. Lett. 55, 539 (2001)], into a ring geometry with a tangent connection to the wire. In this ring geometry, there exists one localized state trapped at the intersection with energy lying inside the lowest subband. We systematically study this localized state and the resulting Fano-type interference due to the coupling between this localized state and the continuum ones. It is found that the increase of inner radius of the ring weakens the coupling to the continuum ones and the asymmetric Fano dip fades away. A wide energy gap in transmission appears due to the interplay of two types of antiresonances: the Fano-type antiresonance and the structure antiresonance. The size of this antiresonance gap can be modulated by adjusting the magnetic flux. Moreover, a large transmission amplitude can be obtained in the same gap area. The strong robustness of the antiresonance gap is demonstrated and shows the feasibility of the proposed geometry for a real application.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗

State, Local, and Tribal Program

NLR's State, Local, and Tribal Program delivers customized, data-driven support that strengthens local energy systems - expanding access to America's abundant energy resources, reducing costs, and supporting energy reliability across the country. NLR's world-class staff use a wide variety of cutting-edge energy tools and capabilities to deliver robust modeling, validation, and deployment support to hundreds of communities annually.

29 ENERGY PLANNING, POLICY, AND ECONOMY↗

Carrier-density dependence of photoluminescence from localized states in InGaN/GaN quantum wells in nanocolumns and a thin film

We have measured and analyzed the carrier-density dependence of photoluminescence (PL) spectra and the PL efficiency of InGaN/GaN multiple quantum wells in nanocolumns and in a thin film over a wide excitation range. The localized states parameters, such as the tailing parameter, density and size of the localized states, and the mobility edge density are estimated. The spectral change and reduction of PL efficiency are explained by filling of the localized states and population into the extended states around the mobility edge density. We have also found that the nanocolumns have a narrower distribution of the localized states and a higher PL efficiency than those of the film sample although the In composition of the nanocolumns is higher than that of the film.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗

State, Local, and Tribal Program

This fact sheet provides an overview of the National Renewable Energy Laboratory (NREL) State, Local, and Tribal Program. The State, Local, and Tribal Program partners with communities of all sizes to support the development of efficient, affordable, equitable, and resilient energy systems.

community↗

Mott transition and correlation effects on strictly localized states in an octagonal quasicrystal

Flat-band systems have attracted significant attention as platforms for studying strongly correlated electron physics, where the dominance of electron-electron interactions over kinetic energy gives rise to a variety of emergent phenomena. Quasicrystals are compelling systems for studying these phenomena as they host degenerate strictly localized states at zero energy due to perfect destructive interference patterns. In this study, we use the slave-rotor mean-field approach to investigate the effects of electron interactions within the Hubbard model on the Ammann-Beenker quasicrystal. The phase diagram characterizing metallic and Mott insulator regions indicates a first-order phase transition. Our analysis shows that the local coordination number affects the local quasiparticle weight, displaying varying metallicity across the sites. Furthermore, we focus on the strictly localized states that arise in the noninteracting limit. We find that interactions and deviation from particle-hole symmetry induce spectral splitting, broadening, and partial delocalization of the localized states, depending on the local environment. In particular, certain localized states with higher coordination numbers remain more robust compared to others. Finally, our results highlight the critical role of local geometry in shaping correlation effects in flat-band quasicrystals.

Mott insulators↗

Spectrally resolved localized states in GaAs 1– x Bi x

In this study, the role of localized states and their influence on the broader band structure remains a crucial question in understanding the band structure evolution in GaAs 1-x Bi x . Here in this work, we present clear spectroscopic observations of recombination at several localized states in GaAs 1-x Bi x . Sharp and recognizable photoluminescence features appear in multiple samples and redshift as a function of GaBi fraction between x = 0.16% and 0.4% at a linearized rate of 34 meV per % Bi, weaker than the redshift associated with band-to-band recombination. Interpreting these results in terms of radiative recombination between localized holes and free electrons sheds light on the relative movement of the conduction band minimum and the characteristics of localized bismuth-related trap states in GaAs 1-x Bi x alloys.

36 MATERIALS SCIENCE↗

Effect of localization states on the electroluminescence spectral width of blue–green light emitting InGaN/GaN multiple quantum wells

The electroluminescence (EL) spectra of blue–green light emitting InGaN/GaN multiple quantum well (MQW) structures grown via metal-organic chemical vapor deposition are investigated. With increasing In content in InGaN well layers, the peak energy redshifts, the emission intensity reduces and the inhomogeneous broadening of the luminescence band increases. In addition, it is found that the EL spectra shrink with increasing injection current at low excitation condition, which may be ascribed to both Coulomb screening of polarization field and carrier transferring from shallower localization states to the deeper ones, while at high currents the state-filling effect in all localization states may become significant and lead to a broadening of EL spectra. However, surprisingly, for the MQW sample with much higher In content, the EL spectral bandwidth can be almost unchanged with increasing current at the high current range, since a large number of carriers may be captured by the nonradiative recombination centers distributed outside the localized potential traps and the state-filling effect in the localization states is suppressed.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

Identifying and classifying localized states in gapless systems using pseudospectral methods

For decades, band theory has been used to understand the physical properties of crystals by leveraging these systems’ translational symmetries to determine the spectral range and distribution of their Bloch eigenstates. However, many important phenomena only manifest at a crystal’s defects or boundaries where this translational symmetry is broken, such as defect-localized states that appear at color centers, or boundary-localized states whose existence is guaranteed by topology. Although it is possible to extend band theoretic approaches to study these classes of states, these extensions are only applicable in gapped systems, where any localized states are spectrally isolated from the crystal’s bulk states.

97 MATHEMATICS AND COMPUTING↗

Bulk local states and crosscaps in holographic CFT

In a weakly coupled gravity theory in the anti-de Sitter space, local states in the bulk are linear superpositions of Ishibashi states for a crosscap in the dual conformal field theory. The superposition structure can be constrained either by the microscopic causality in the bulk gravity or the bootstrap condition in the boundary conformal field theory. We show, contrary to some expectation, that these two conditions are not compatible to each other in the weak gravity regime. As a result, we also present an evidence to show that bulk local states in three dimensions are not organized by the Virasoro symmetry.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

EERE's State & Local Energy Data Tool

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29 ENERGY PLANNING, POLICY, AND ECONOMY↗

Localized States near a Thin Layer with the Nonlinear Properties Separating Nonlinear Focusing and Defocusing Media

Based on the nonlinear Schrödinger equation, new types of localized states near the contact of defocusing and self-focusing media with the Kerr nonlinearity separated by a thin defect layer with the similar nonlinearity have been described. The occurrence of the localized states of two types is demonstrated. The dispersion relations between the excitation localization energy and characteristics of the media and defect layer have been obtained. The localization energy levels for particular cases have been obtained in the explicit analytical form.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

State, Local, and Tribal Technical Support Services Agreement

This fact sheet summarizes the National Renewable Energy Laboratory’s (NREL’s) State, Local, and Tribal Technical Support Services Agreement contract mechanism. The service extends the benefits of national laboratory expertise to state and local energy project decision makers and planners charting the course to a clean energy future.

48 EE - Weatherization and Intergovernmental Progr↗