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Condensed matter physics is often concerned with determining the response of a solid to an external stimulus. This paper revisits and extends the microscopic formalism for calculating response coefficients -- here referred to as…

Other Condensed Matter · Physics 2025-12-23 J. W. F. Venderbos

The concept of the Zak phase lies at the core of the modern theory of electric polarization. It is defined using the components of the Bloch wave functions in a certain basis, which is not captured by the standard expression for Berry…

Mesoscale and Nanoscale Physics · Physics 2018-10-03 A. S. Sergeev

The quantum-mechanical expression for the polarization of a crystalline solid does not bear any resemblance to the (trivial) expression for the dipole of a bounded crystallite; and in fact it has been proved via a conceptually different…

Materials Science · Physics 2021-02-08 Raffaele Resta

The degree of polarimetric purity is an invariant dimensionless quantity that characterizes the closeness of a polarization state of a wave to a pure state and is related to the Von Neumann entropy. The polarimetric purity of a plane wave…

Classical Physics · Physics 2022-02-22 Avik Bhattacharya , Subhadip Dey , Alejandro C. Frery

Ab initio calculation of dielectric response with high-accuracy electronic structure methods is a long-standing problem, for which mean-field approaches are widely used and electron correlations are mostly treated via approximated…

Chemical Physics · Physics 2024-06-25 Xiang Li , Yubing Qian , Ji Chen

We extend a field theoretic approach for the investigation of the electronic charge-current density response of crystalline systems to arbitrary applied electromagnetic fields. The approach leads to the introduction of microscopic…

Mesoscale and Nanoscale Physics · Physics 2020-07-24 Perry T. Mahon , J. E. Sipe

Ionic crystals, such as solid electrolytes and complex oxides, are central to modern technologies for energy storage, sensing, actuation, and other functional applications. An important fundamental issue in the atomic and quantum-scale…

Materials Science · Physics 2026-02-12 Shoham Sen , Yang Wang , Timothy Breitzman , Kaushik Dayal

Non-equilibrium quantum rings emit circular polarized subterahertz radiation with a polarization degree controllable on nano- to picosecond time scales. This we conclude using a theory developed here for the time-dependent detection of the…

Quantum Physics · Physics 2009-11-13 A. S. Moskalenko , J. Berakdar

In the presence of a (time-dependent) macroscopic electric field the electron dynamics of dielectrics cannot be described by the time-dependent density only. We present a real-time formalism that has the density and the macroscopic…

Materials Science · Physics 2016-07-27 M. Grüning , D. Sangalli , C. Attaccalite

Formulas for the contribution of the conduction electrons to the polarization and magnetization are derived for disordered systems and within a one-particle framework. These results generalize known formulas for Bloch electrons and the…

Mathematical Physics · Physics 2014-01-10 Hermann Schulz-Baldes , Stefan Teufel

Recent theoretical advances have established that the electric polarization in an insulating crystal can be viewed as a multivalued quantity that is determined by certain Berry phases associated with the occupied Bloch bands. The…

Materials Science · Physics 2007-05-23 David Vanderbilt

Recently, it has been established that Chern insulators possess an intrinsic two-dimensional electric polarization, despite having gapless edge states and non-localizable Wannier orbitals. This polarization, $\vec{P}_{\text{o}}$, can be…

Strongly Correlated Electrons · Physics 2025-12-05 Yuxuan Zhang , Maissam Barkeshli

Natural optical activity is the paradigmatic example of an effect originating in the weak spatial inhomogeneity of the electromagnetic field on the atomic scale. In molecules, such effects are well described by the multipole theory of…

Materials Science · Physics 2023-05-31 Óscar Pozo , Ivo Souza

We consider the polarization of thermal emission in the near-field of various materials including dielectrics and metallic systems with resonant surface modes. We find that at thermal equilibrium, the degree of polarization exhibits spatial…

Optics · Physics 2016-05-25 Manabu Machida , Evgenii Narimanov , John C. Schotland

Electric polarization in the absence of an externally applied electric field is a key property of polar materials, but the standard interpolation-based ab initio approach to compute polarization differences within the modern theory of…

Materials Science · Physics 2025-11-25 Abigail N. Poteshman , Francesco Ricci , Jeffrey B. Neaton

We study the occurrence of factorization in polarized and unpolarized observables in coincidence quasi-elastic electron scattering. Starting with the relativistic distorted wave impulse approximation, we reformulate the effective momentum…

Nuclear Theory · Physics 2009-11-10 Javier R. Vignote , M. C. Martinez , J. A. Caballero , E. Moya de Guerra , J. M. Udias

Light scattering in a magnetic medium with uncorrelated inclusions is theoretically studied in the approximation of ladder diagram. Correlation between polarizations of electromagnetic waves that are produced by infinitely-distant dipole…

Optics · Physics 2017-03-08 M. A. Kozhaev , R. A. Niyazov , V. I. Belotelov

We consider the effect of spatial correlations on sources of polarized electromagnetic radiation. The sources, assumed to be monochromatic, are constructed out of dipoles aligned along a line such that their orientation is correlated with…

Optics · Physics 2007-05-23 Abhishek Agarwal , Pankaj Jain , Jagdish Rai

In the modern theory of polarization, polarization itself is given by a geometric phase. In calculations for interacting systems the polarization and its variance are obtained from the polarization amplitude. We interpret this quantity as a…

Strongly Correlated Electrons · Physics 2019-02-20 Balázs Hetényi , Balázs Dóra

We put forward an operational degree of polarization that can be extended in a natural way to fields whose wave fronts are not necessarily planar. This measure appears as a distance from a state to the set of all its…

Quantum Physics · Physics 2015-06-22 G. Bjork , H. de Guise , A. B. Klimov , P. de la Hoz , L. L. Sanchez-Soto