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It is nowadays a quite diffuse idea that variations of polarisation in condensed matter theory are related to a "Berry phase". The derivation of the latter geometric phase is correct $\it{only if}$ the restrictive periodic gauge\cite{KS-V}…

Materials Science · Physics 2009-06-26 Simone Selenu

We extend the Berry-phase concept of polarization to insulators having a non-zero value of the Chern invariant. The generalization to such Chern insulators requires special care because of the partial occupation of chiral edge states. We…

Mesoscale and Nanoscale Physics · Physics 2009-03-23 Sinisa Coh , David Vanderbilt

The modern theory of polarization allows for the determination of the macroscopic end charge of a truncated one-dimensional insulator, modulo the charge quantum $e$, from a knowledge of bulk properties alone. A more subtle problem is the…

Mesoscale and Nanoscale Physics · Physics 2021-02-03 Shang Ren , Ivo Souza , David Vanderbilt

We show that, under the right conditions, one can make highly accurate polarization-based measurements without knowing the absolute polarization state of the probing light field. It is shown that light, passed through a randomly varying…

In this work the polarizability of a subwavelength core-shell sphere is considered, where the shell exhibits a radially inhomogeneous permittivity profile. A mathematical treatment of the elec- trostatic polarizability is formulated in…

Optics · Physics 2018-11-14 Dimitrios C. Tzarouchis , Ari Sihvola

A general polarizable embedded (PE) quantum mechanics/molecular mechanics scheme for periodic systems is presented, describing mutual polarization of the two subsystems. The QM system, described with density functional theory (DFT), is…

We study experimentally and theoretically polarization-dependent luminescence from an ensemble of quantum-dot-like nanostructures with a very large in-plane shape anisotropy (quantum dashes). We show that the measured degree of linear…

Mesoscale and Nanoscale Physics · Physics 2012-01-20 A. Musiał , P. Kaczmarkiewicz , G. Sęk , P. Podemski , P. Machnikowski , J. Misiewicz , S. Hein , S. Höfling , A. Forchel

We study the behaviour of edge states in Rice-Mele model with Hubbard interaction, U , at half-filling using density matrix renormalization group, exact diagonalization and effective charge dynamics in Kumar representation. For a fixed…

Strongly Correlated Electrons · Physics 2025-08-29 Jyoti Bisht , Brijesh Kumar

It is well known that inversion symmetry in one-dimensional (1D) systems leads to the quantization of the geometric Zak phase to values of either 0 or {\pi}. When the system has particle-hole symmetry, this topological property ensures the…

Mesoscale and Nanoscale Physics · Physics 2017-04-20 Yi-Xin Xiao , Zhao-Qing Zhang , C. T. Chan

Charged systems with partially annealed charge disorder are investigated using field-theoretic and replica methods. Charge disorder is assumed to be confined to macroion surfaces surrounded by a cloud of mobile neutralizing counterions in…

Soft Condensed Matter · Physics 2009-05-24 Yevgeni Sh. Mamasakhlisov , Ali Naji , Rudolf Podgornik

We briefly review recent theoretical and simulation studies of charged colloidal dispersions in alternating electric fields (AC fields). The response of single colloid to an external field can be characterized by a complex polarizability,…

Soft Condensed Matter · Physics 2014-01-09 Jiajia Zhou , Friederike Schmid

We present the design and performance of a non-imaging concentrator for use in broad-band polarimetry at millimeter through submillimeter wavelengths. A rectangular geometry preserves the input polarization state as the concentrator couples…

Instrumentation and Methods for Astrophysics · Physics 2023-07-19 A. Kogut , D. J. Fixsen , R. S. Hill

In this paper, we derive a general formula for the quantized fractional corner charge in two-dimensional C_n-symmetric higher-order topological insulators. We assume that the electronic states can be described by the Wannier functions and…

Mesoscale and Nanoscale Physics · Physics 2021-05-19 Ryo Takahashi , Tiantian Zhang , Shuichi Murakami

Simulating water accurately has been a challenge due to the complexity of describing polarization and intermolecular charge transfer. Quantum mechanical (QM) electronic structures provide an accurate description of polarization in response…

Chemical Physics · Physics 2025-03-05 Qiujiang Liang , Jun Yang

The Standard Model is the paradigm of particle physics which gives an accurate theory for fundamental particle interactions. However, the extension of Standard Model with higher-order derivatives is not a well-studied subject. This paper is…

General Physics · Physics 2023-07-10 B. T. T. Wong

In this paper a generalisation of the notion of polarity is exhibited which allows to completely describe, in an incidence-geometric way, the linear complexes of $h$-subspaces. A generalised polarity is defined to be a partial map which…

Algebraic Geometry · Mathematics 2024-02-13 Hans Havlicek , Corrado Zanella

We investigate the electrochemical processes within an electrolyser cell, which are modelled by a coupled system of second-order quasi-linear elliptic PDEs. In this context, we study an inverse problem aiming to reconstruct both the…

Analysis of PDEs · Mathematics 2026-04-17 Giovanni S. Alberti , Wadim Gerner , Matteo Santacesaria

Electron densities at the edge site in one-dimensional Hubbard model and t-J model are studied by using the Bethe ansatz solutions and exact diagonalization method. It is found that the boundary is electron-attractive, or equivalently…

Strongly Correlated Electrons · Physics 2007-05-23 Hiroki Tsuchiura , Masao Ogata , Yukio Tanaka , Satoshi Kashiwaya

Polarizability is a key response property of physical and chemical systems, which has an impact on intermolecular interactions, spectroscopic observables, and vacuum polarization. The calculation of polarizability for quantum systems…

The bulk polarization is a $\mathbb{Z}_2$ topological invariant characterizing non-interacting systems in one dimension with chiral or particle-hole symmetries. We show that the bulk polarization can always be determined from the…

Mesoscale and Nanoscale Physics · Physics 2021-05-26 Carlos Ortega-Taberner , Maria Hermanns