Results 11 to 20 of about 1,214 (183)

Unusual square roots in the ghost-free theory of massive gravity

Journal of High Energy Physics, 2017
A crucial building block of the ghost free massive gravity is the square root function of a matrix. This is a problematic entity from the viewpoint of existence and uniqueness properties. We accurately describe the freedom of choosing a square root of a (
Alexey Golovnev, Fedor Smirnov
doaj   +1 more source

On algebraic bases of algebras of block-symmetric polynomials on Banach spaces [PDF]

Математичні Студії, 2012
The paper contains a description of algebraic basis of algebra of block-symmetric polynomials on the l_1-sum of the copies of l_1.
V. V. Kravtsiv, A. V. Zagorodnyuk
doaj  

Waring-Girard formulas for block-symmetric and block-supersymmetric polynomials

Математичні Студії
This paper investigates the structure and properties of block-symmetric and block-super\-symmetric polynomials in Banach spaces. The study extends classical symmetric polynomial results to infinite-dimensional settings, particularly in sequence spaces ...
V. V. Kravtsiv, P. Y. Dolishniak, R. Y. Stakhiv   +2 more
doaj   +1 more source

Block-symmetric and weakly symmetric polynomials on Banach spaces of absolutely summable in a power $p\in [1,+\infty)$ sequences

Математичні Студії
The work is devoted to the study of block-symmetric and weakly symmetric continuous polynomials on the Banach space $\ell_p^{ (\mathbb{K}) }$ of all sequences $x = (x_1, x_2, \ldots)$ with $x_j \in \mathbb{K}$ for $j\in\mathbb{N}$ such that the series $\
A. I. Bandura, S. I. Nykorovych, T. V. Vasylyshyn   +2 more
doaj   +1 more source

Exceptional Electro‐Optic Coefficient Unlocked via Polarization Swaying in KNbO3 Thin Films

Advanced Functional Materials, EarlyView.
We present the largest reported electro‐optic response in any material to date, guided by a new design principle that exploits ultralow coercive field polarization swaying enabled by low‐symmetry ferroelectric phases in monoclinic KNbO3 thin films for energy‐efficient classical and quantum photonic integrated circuits. ABSTRACT The electro‐optic effect
Sankalpa Hazra, Aiden Ross, Brynn Brower, Tobias Schwaigert, Ian Reed Philippi, Albert Suceava, Himirkanti Sarkar, Muhammed Aminul Haque Chowdhury, Suchismita Sarker, Darrell G. Schlom, Long‐Qing Chen, Venkatraman Gopalan   +11 more
wiley   +1 more source

Universal Conductance Fluctuations in Quantum Anomalous Hall Insulators

Advanced Materials, EarlyView.
Universal conductance fluctuations are observed in mesoscopic quantum anomalous Hall insulators. Two distinct fluctuation patterns are identified, arising from different interference processes of bulk and chiral edge states, respectively. These findings unveil rich quantum interference phenomena in quantum anomalous Hall insulators and provide insights
Peng Deng, Peng Zhang, Gang Qiu, Ting‐Hsun Yang, Chang Niu, Yaochen Li, Wenqiang Cui, Yang Feng, Peide D. Ye, Ke He, Kai Chang, Kang L. Wang   +11 more
wiley   +1 more source

Ionic Gating of Liquid‐Crystal‐Like Pteridine Assemblies Enables Tunable Light Scattering

Advanced Materials, EarlyView.
Tunable optical properties emerge through developmentally regulated ionic gating, which transforms disordered, ultraviolet (UV)‐absorbing organelles into concentrically ordered, liquid‐crystal‐like light scatterers. By integrating analyses of pteridine composition, potassium‐dependent assembly, hierarchical ultrastructure, and optical behavior, the ...
Sourabh Bera, Zohar Eyal, Yael Noy, Yuval Barzilay, Siddharth Sahoo, Srikant Moharana, Avi Baram, Tali Lerer‐Goldshtein, Neta Varsano, Bar Bader, Lothar Houben, Uwe Heinig, Iddo Pinkas, Moshe Goldsmith, Tamar Unger, Shira Albeck, Andrea Sorrentino, Maxim Itkin, Sergey Malitsky, Ziv Porat, Ido Hadar, Venkata Jayasurya Yallapragada, Dvir Gur   +22 more
wiley   +1 more source

Epitaxially Integrated Electro‐Optic KNbO3 Thin Films on Silicon

Advanced Materials, EarlyView.
We demonstrate the first epitaxial integration of electro‐optic KNbO3 thin films on silicon using suboxide molecular‐beam epitaxy. Combining adsorption‐controlled molecular‐beam epitaxy, advanced characterization, and phase‐field modeling, we demonstrate phase‐pure crystalline films mirroring bulk crystals with robust Pockels response, enabling future ...
Sankalpa Hazra, Tobias Schwaigert, Yingxin Zhu, Aiden Ross, Muhammad Aminul Haque Chowdhury, Shun‐Li Shang, Sameer Singh, Zhiyu Zhang, Zhe Wang, Brynn Brower, Saugata Sarker, Suchismita Sarker, Zi‐Kui Liu, Rama K. Vasudevan, Long‐Qing Chen, Yang Yang, Darrell G. Schlom, Venkatraman Gopalan   +17 more
wiley   +1 more source

Spontaneous Nanopatterning and Strain Relaxation in SiGe Layers Grown by Oxidative Solid‐Phase Epitaxy

Advanced Materials Interfaces, EarlyView.
Thin SiGe buffer layers are grown by oxidative solid‐phase epitaxy, resulting in a nanopatterning of varying Ge concentration across the surface of the sample. The nanopatterning is caused by a hexagonal network of dislocations on the SiGe/Si(111) interface, and is visible by scanning electron microscopy, providing a non‐destructive method for ...
Sophie E. Bierer, Trevor R. Smith, Arezoo Mafi, Sunzhuoran Wang, Chengqian Liao, Vatsalkumar Patel, Andrew P. Knights, Ryan B. Lewis   +7 more
wiley   +1 more source

Gait Analysis of Pak Biawak: A Necrobot Lizard Built using the Skeleton of an Asian Water Monitor (Varanus Salvator)

Advanced Robotics Research, EarlyView.
Pak Biawak, a necrobot, embodies an unusual fusion of biology and robotics. Designed to repurpose natural structures after death, it challenges conventional boundaries between nature and engineering. Its movements are precise yet unsettling, raising questions about sustainability, ethics, and the untapped potential of biointegrated machines.
Leo Foulds, Donan Satria Yudha, Parvez Alam   +2 more
wiley   +1 more source