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We prove that the electromagnetic fields in dielectric media whose susceptibility follows a fractional power-law dependence in a wide frequency range can be described by differential equations with time derivatives of noninteger order. We…

Mathematical Physics · Physics 2015-03-17 Vasily E. Tarasov

We investigate the time an electronic excitation travels in a supermolecular setup using a measurement process in an open quantum-system framework. The approach is based on the stochastic Schr\"odinger equation and uses a Hamiltonian from…

Materials Science · Physics 2013-12-09 Dirk Hofmann , Heiko Appel , Massimiliano Di Ventra , Stephan Kümmel

Linear polarization angle, $\theta$, dependent measurements of the microwave radiation-induced oscillatory magnetoresistance, $R_{xx}$, in high mobility GaAs/AlGaAs 2D electron devices have shown a $\theta$ dependence in the oscillatory…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 Han-Chun Liu , Tianyu Ye , W. Wegscheider , R. G. Mani

We show that the magneto-electric coupling in 3D (strong) topological insulators is related to a second derivative of the bulk magnetization. The formula we derive is the non-linear response analog of the Streda formula for Hall…

Mesoscale and Nanoscale Physics · Physics 2013-01-31 Doron L. Bergman , Gil Refael

We report successful implementation of the time-dependent second-order many-body perturbation theory using optimized orthonormal orbital functions called time-dependent optimized second-order many-body perturbation theory [TD-OMP2] to reach…

Chemical Physics · Physics 2020-08-26 Himadri Pathak , Takeshi Sato , Kenichi L. Ishikawa

We study the importance of interband effects on the orbital susceptibility of three bands $\alpha$-${\cal T}_3$ tight-binding models. The particularity of these models is that the coupling between the three energy bands (which is encoded in…

Quantum Gases · Physics 2015-04-30 F. Piéchon , J-N. Fuchs , A. Raoux , G. Montambaux

We calculated the frequency dependent dielectric response (electric susceptibility) of layered ferroelectric-dielectric junction, biased by the time-dependent harmonic voltage with single frequency $\omega$. Working point is stabilized, by…

Mesoscale and Nanoscale Physics · Physics 2020-07-23 Matija Piskač , Danko Radić

The dynamic susceptibility $\chi_{Q}^{zz}(\omega)$ of the isotropic XY-model (s=1/2) on the alternating superlattice (closed chain) in a transverse field $h$ is obtained exactly at arbitrary temperatures. It is determined from the results…

Statistical Mechanics · Physics 2007-05-23 J. P. de Lima , L. L. Goncalves

We calculate the linear and non-linear susceptibilities of periodic longitudinal chains of hydrogen dimers with different bond-length alternations using a diffusion quantum Monte Carlo approach. These quantities are derived from the changes…

Chemical Physics · Physics 2015-05-14 Paolo Umari , Nicola Marzari

The time-dependent density functional based tight-binding (TD-DFTB) approach is generalized to account for fractional occupations. In addition, an on-site correction leads to marked qualitative and quantitative improvements over the…

Materials Science · Physics 2013-02-15 A. Domínguez , B. Aradi , T. Frauenheim , V. Lutsker , T. A. Niehaus

In our former contribution [Ann. Phys. 360 (2015) 44], we have shown the sensitivity to the choice of initial conditions in the evolution of Gaussian wave packets via the nonlinear Riccati equation. The formalism developed in the previous…

Quantum Physics · Physics 2016-08-18 Hans Cruz , Dieter Schuch , Octavio Castanos , Oscar Rosas-Ortiz

Particle dynamics in Earth's outer radiation belt can be modelled using a diffusion framework, where large-scale electron movements are captured by a diffusion equation across a single adiabatic invariant, $L^{*}$ $``(L)"$. While ensemble…

Plasma Physics · Physics 2024-09-05 Sarah N. Bentley , J. Stout , Rhys Thompson , Daniel J. Ratliff , Clare E. J. Watt

We investigate diffusion equations with time-fractional derivatives of space-dependent variable order. We examine the well-posedness issue and prove that the space-dependent variable order coefficient is uniquely determined among other…

Analysis of PDEs · Mathematics 2018-12-05 Yavar Kian , Eric Soccorsi , Masahiro Yamamoto

We study the third-order nonlinear optical susceptibility $\chi^{(3)}$ and photoexcited states of two-dimensional (2D) Mott insulators by using an effective model in the strong-coupling limit of a half-filled Hubbard model. In the…

Strongly Correlated Electrons · Physics 2009-11-07 Makoto Takahashi , Takami Tohyama , Sadamichi Maekawa

A study of the d-dimensional classical Heisenberg ferromagnetic model in the presence of a magnetic field is performed within the two-time Green function's framework in classical statistical physics. We extend the well known quantum Callen…

Statistical Mechanics · Physics 2015-06-03 L. S. Campana , A. Cavallo , L. De Cesare , U. Esposito , A. Naddeo

We report a rather high dependence of the dielectric permittivity on the magnetic field in La2/3Ca1/3MnO3. The variation is maximum at around 270 K, little above the Curie temperature, TC, and it reaches a 30% under only 0.5 T. We attribute…

Strongly Correlated Electrons · Physics 2009-11-11 J. Rivas , J. Mira , B. Rivas-Murias , A. Fondado , J. Dec , W. Kleemann , M. A. Senaris Rodriguez

Introducing partial sum rules for the optical multiplet transitions, we outline a unified approach to magnetic and optical properties of strongly correlated transition metal oxides. On the example of LaVO$_3$ we demonstrate how the…

Strongly Correlated Electrons · Physics 2007-05-23 Giniyat Khaliullin , Peter Horsch , Andrzej M. Oles

We present calculations on the deformation of two- and three-layer electret systems. The electrical field is coupled with the stress-strain equations by means of the Maxwell stress tensor. In the simulations, two-phase systems are…

Materials Science · Physics 2007-05-23 Enis Tuncer , Michael Wegener , Reimund Gerhard-Multhaupt

We report a model describing the molecular orientation disorder in CH3NH3PbI3, solving a classical Hamiltonian parametrised with electronic structure calculations, with the nature of the motions informed by ab-initio molecular dynamics. We…

Mesoscale and Nanoscale Physics · Physics 2014-12-15 Jarvist M. Frost , Keith T. Butler , Aron Walsh

We study the time evolution of the wave function of a particle bound by an attractive $\delta$-function potential when it is subjected to time dependent variations of the binding strength (parametric excitation). The simplicity of this…

Mathematical Physics · Physics 2009-10-31 Alexander Rokhlenko , Joel L. Lebowitz