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Applications of a method recently suggested by one of the authors (R.L.) are presented. This method is based on the use of dimensional recurrence relations and analytic properties of Feynman integrals as functions of the parameter of…

高能物理 - 唯象学 · 物理学 2015-03-17 Roman N. Lee , Alexander V. Smirnov , Vladimir A. Smirnov

Spin-orbit interaction (SOI) is a crucial ingredient for many potential applications of quantum devices, such as the use of semiconductor nanostructures for quantum computing. It is known that nonlinear conductivities are sensitive to the…

介观与纳米尺度物理 · 物理学 2025-04-14 Kazuki Nakazawa , Henry F. Legg , Jelena Klinovaja , Daniel Loss

We develop a formalism to treat higher order (nonlinear) metric perturbations of the Kerr spacetime in a Teukolsky framework. We first show that solutions to the linearized Einstein equation with nonvanishing stress tensor can be decomposed…

广义相对论与量子宇宙学 · 物理学 2020-09-15 Stephen R. Green , Stefan Hollands , Peter Zimmerman

We argue that the static non-linear Hall conductivity can always be represented as a vector in two-dimensions and as a pseudo-tensor in three-dimensions independent of its microscopic origin. In a single band model with a constant…

介观与纳米尺度物理 · 物理学 2019-12-05 Snehasish Nandy , Inti Sodemann

For the technologically relevant spin Hall effect most theoretical approaches rely on the evaluation of the spin-conductivity tensor. In contrast, for most experimental configurations the generation of spin accumulation at interfaces and…

Generally, natural scientific problems are so complicated that one has to establish some effective perturbation or nonperturbation theories with respect to some associated ideal models. In this Letter, a new theory that combines…

计算物理 · 物理学 2015-05-13 Yuan Gao , S. Y. Lou

This work considers a computationally and statistically efficient parameter estimation method for a wide class of latent variable models---including Gaussian mixture models, hidden Markov models, and latent Dirichlet allocation---which…

机器学习 · 计算机科学 2014-11-17 Anima Anandkumar , Rong Ge , Daniel Hsu , Sham M. Kakade , Matus Telgarsky

The in-plane (thermal) Hall effect is an unconventional transverse response when the applied magnetic field is in the (heat) current plane. In contrast to the normal Hall effect, the in-plane Hall effect requires the absence of certain…

材料科学 · 物理学 2023-06-01 Takashi Kurumaji

We theoretically investigate a nonlinear spin Hall effect in $\mathcal{PT}$-symmetric antiferromagnetic metals, which serve as an efficient spin current generator. We elucidate that an emergent spin-dependent Berry curvature dipole is a…

介观与纳米尺度物理 · 物理学 2022-09-23 Satoru Hayami , Megumi Yatsushiro , Hiroaki Kusunose

We propose and theoretically study minimal models of N\'{e}el ordered collinear (compensated) antiferromagnets that show the anomalous Hall effect. For simplicity, we first consider two-dimensional models of antiferromagnets with two…

介观与纳米尺度物理 · 物理学 2026-01-27 Vladimir P. Golubinskii , Vladimir A. Zyuzin

We consider approximating solutions to parameterized linear systems of the form $A(\mu_1,\mu_2) x(\mu_1,\mu_2) = b$. Here the matrix $A(\mu_1,\mu_2) \in \mathbb{R}^{n \times n}$ is nonsingular, large, and sparse and depends nonlinearly on…

数值分析 · 数学 2025-02-27 Siobhán Correnty , Melina A. Freitag , Kirk M. Soodhalter

A generalized notion of a nonlocal tensor order parameter is introduced within the framework of the phenomenological approach. This parameter has the form of a traceless tensor correlation function or a tensor integral operator. Based on…

软凝聚态物质 · 物理学 2017-07-14 Alexey N. Kudryavtsev , Petr A. Purtov , Sergey I. Trashkeev

Kohn-Sham density functional theory calculations using conventional diagonalization based methods become increasingly expensive as temperature increases due to the need to compute increasing numbers of partially occupied states. We present…

化学物理 · 物理学 2022-03-23 Qimen Xu , Xin Jing , Boqin Zhang , John E. Pask , Phanish Suryanarayana

In the study of the anomalous Hall effect, the scaling relations between the anomalous Hall and longitudinal resistivities play the central role. The scaling parameters by definition are fixed as the scaling variable (longitudinal…

介观与纳米尺度物理 · 物理学 2019-10-30 Cong Xiao , Hailong Zhou , Qian Niu

Reading antiferromagnetic order remains a central obstacle for antiferromagnetic memory and logic because zero net magnetisation precludes conventional magnetic readout. Domain imaging typically relies on x-ray magnetic linear dichroism…

Nonlinearity and endogeneity are prevalent challenges in causal analysis using observational data. This paper proposes an inference procedure for a nonlinear and endogenous marginal effect function, defined as the derivative of the…

计量经济学 · 经济学 2024-06-19 Qingliang Fan , Zijian Guo , Ziwei Mei , Cun-Hui Zhang

We develop, from first principles, a general and compact formalism for predicting the electromagnetic response of a metamaterial with non-magnetic inclusions in the long wavelength limit, including spatial dispersion up to the second order.…

光学 · 物理学 2015-06-03 Alessandro Ciattoni , Carlo Rizza

Anomalous Hall effect (AHE) is the key transport signature unlocking topological properties of magnetic materials. While AHE is usually proportional to the magnetization, the nonlinearity suggests the existence of complex magnetic and…

Two distinct models are developed to investigate the transverse magnetic stationary solutions propagating in one-dimensional anisotropic nonlinear plasmonic structures made from a nonlinear metamaterial core of Kerr-type embedded between…

光学 · 物理学 2018-01-15 Mahmoud M. R. Elsawy , Gilles Renversez

Phase randomizing processes in mesoscopic systems can be described in a phenomenological way within the Landauer-B\"{u}ttiker formalism by attaching extra voltage probes to the sample. In this paper, it is shown that a perturbation…

介观与纳米尺度物理 · 物理学 2009-11-11 G. Metalidis P. Bruno