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The optical absorbance of 2D semiconductors is generalized to individual lattice sites through the topological marker formalism, yielding an absorbance marker. This marker allows to investigate the atomic scale variation of absorbance…

Strongly Correlated Electrons · Physics 2025-08-05 Luis F. Cárdenas-Castillo , Shuai Zhang , Fernando L. Freire , Wei Chen

The spread of valence band Wannier functions in semiconductors and insulators is a characteristic property that gives a rough estimation of how insulating is the material. We elaborate that the gauge-invariant part of the spread can be…

Materials Science · Physics 2024-10-29 Luis F. Cárdenas-Castillo , Shuai Zhang , Denis Kochan , Fernando L. Freire , Wei Chen

Magneto-optical absorption by the quantum dot (QD) with impurity center (IC or D(-)-center) complexes synthesized in a transparent dielectric matrix, with consideration of the QD size dispersion, is theoretically studied. Within the…

Materials Science · Physics 2007-05-23 V. D. Krevchik , A. B. Grunin , A. K. Aringazin , M. B. Semenov

Fundamental properties of warm dense matter are described by the dielectric function, which gives access to the frequency-dependent electrical conductivity, absorption, emission and scattering of radiation, charged particles stopping and…

Plasma Physics · Physics 2016-07-27 M. Veysman , G. Röpke , M. Winkel , H. Reinholz

The imaginary part of the quantum geometric tensor is the Berry curvature, while the real part is the quantum metric. Dirac fermions derived from a tight-binding model naturally contains a mass term $m(k)$ with parabolic dispersion, $m(k)=$…

Mesoscale and Nanoscale Physics · Physics 2024-11-28 Motohiko Ezawa

For semiconductors and semimetals possessing a narrow gap between bands with different parity, the dispersion of the dielectric function is explicitly evaluated in the infrared region. The imaginary part of the dielectric function has a…

Materials Science · Physics 2013-05-29 L. A. Falkovsky

Exploring the quantum geometric properties of solids beyond their topological aspects has become a key focus in current solid-state physics research. We derive the geometric formula for optical conductivity from the quantum metric tensor,…

Strongly Correlated Electrons · Physics 2025-03-25 Chang-geun Oh , Sun-Woo Kim , Kun Woo Kim , Bartomeu Monserrat , Jun-Won Rhim

We elaborate that $s$-wave and $d$-wave superconductors described by mean field theories possess a nontrivial quantum geometry. From the overlap of two quasihole states at slightly different momenta, one can define a quantum metric that…

Superconductivity · Physics 2023-10-13 David Porlles , Wei Chen

In band insulators, where the Fermi surface is absent, adiabatic transport is allowed only due to the geometry of the Hilbert space. By driving the system at a small but finite frequency $\omega$, transport is still expected to depend…

Mesoscale and Nanoscale Physics · Physics 2024-08-01 Ilia Komissarov , Tobias Holder , Raquel Queiroz

We present absorption coefficient {\alpha}({\omega}), transverse dielectric function {\epsilon}({\omega}), optical conductivity {\sigma}({\omega}), and reflectance R({\omega}) calculated for an emeraldine salt conducting polymer in its…

Materials Science · Physics 2025-08-05 Renato Colle , Pietro Parruccini , Andrea Benassi , Carlo Cavazzoni

We discuss the optical conductivity of several non-interacting two-dimensional (2D) semiconducting systems focusing on gapped Dirac and Schr\"odinger fermions as well as on a system mixing these two types. Close to the band-gap, we can…

Mesoscale and Nanoscale Physics · Physics 2015-03-09 T. Stauber , D. Noriega-Pérez , J. Schliemann

The quantum geometry in the momentum space of semiconductors and insulators, described by the quantum metric of the valence band Bloch state, has been an intriguing issue owing to its connection to various material properties. Because the…

Strongly Correlated Electrons · Physics 2023-05-30 Matheus S. M. de Sousa , Antonio L. Cruz , Wei Chen

The optical properties of a spherical topological insulator embedded concentrically in a single-electron system consisting of a core-shell GaAs quantum dot are analyzed, when the system is under a uniform external magnetic field. The…

Mesoscale and Nanoscale Physics · Physics 2020-05-29 Jorge David Castaño-Yepes , O. J. Franca , C. F. Ramirez-Gutierrez , J. C. del Valle

The momentum space of conventional superconductors is recently recognized to possess a quantum metric defined from the overlap of filled quasihole states at neighboring momenta. For multiband superconductors with arbitrary intraband and…

Superconductivity · Physics 2025-08-18 David Porlles , Wei Chen

Nontrivial properties of electronic states in topological insulators are inherent not only to the surface and boundary states, but to bound states localized at structure defects as well. We clarify how the unusual properties of the…

Mesoscale and Nanoscale Physics · Physics 2016-09-19 Vladimir A. Sablikov , Aleksei A. Sukhanov

The optoelectronic properties of nanoscale systems such as carbon nanotubes (CNTs), graphene nanoribbons and transition metal dichalcogenides (TMDCs) are determined by their dielectric function. This complex, frequency dependent function is…

Materials Science · Physics 2021-11-10 Oisín Garrity , Alvaro Rodriguez , Niclas S. Mueller , Otakar Frank , Patryk Kusch

We generalize the Bergman-Milton spectral representation, originally derived for a two-component composite, to extract the spectral density function for the effective dielectric constant of a graded composite. This work has been motivated…

Soft Condensed Matter · Physics 2007-05-23 L. Dong , Mikko Karttunen , K. W. Yu

Two approaches (micro- and macro- investigations) are used to determine the dimension dependences of the optical parameters of the nanometer-scale layers of materials. It is shown that both an index of refraction and coefficient of…

Materials Science · Physics 2016-10-13 T. A. Kudykina , A. I. Pervak

We show that recently observed DC currents produced by below-the-bandgap femtosecond pulses [1] can be explained as nonlinear optical effects based on multi-photon quantum interference and creation of an asymmetric distribution of virtual…

Materials Science · Physics 2015-10-06 Jacob B. Khurgin

The formalism of weak measurement in quantum mechanics has revealed profound connections between measurement theory, quantum foundations, and signal processing. In this paper, we develop a pointer-free derivation of superoscillations,…

Quantum Physics · Physics 2025-08-04 Mirco A. Mannucci
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