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We theoretically propose a method of rectifying spin current with a linearly-polarized electromagnetic wave in inversion-asymmetric magnetic insulators. To demonstrate the proposal, we consider quantum spin chains as a simple example; these…

Strongly Correlated Electrons · Physics 2019-05-22 Hiroaki Ishizuka , Masahiro Sato

It's established that the nonlinear anomalous Nernst effect (NANE), originating from Berry curvature near the Fermi energy, is symmetry-permitted only when a single mirror symmetry exists in the transport plane of two-dimensional (2D)…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Ying-Li Wu , Xiao-Qin Yu

Nonlinear optical responses are a crucial probe of physical systems including periodic solids. In the absence of electron-electron interactions, they are calculable with standard perturbation theory starting from the band structure of Bloch…

Strongly Correlated Electrons · Physics 2019-01-16 Daniel E. Parker , Takahiro Morimoto , Joseph Orenstein , Joel E. Moore

Rashba spin-orbit coupled systems are an important class of materials noted for diverse fundamental and applied phenomena. Recently, the emergence of non-linear Hall effect under conditions of time-reversal symmetry has been discovered in…

Mesoscale and Nanoscale Physics · Physics 2023-12-05 Soumadeep Saha , Awadhesh Narayan

The unique nonreciprocal responses of superconductors, which stem from the Cooper pairs' quantum condensation, have been attracting attention. Recently, theories of the second-order nonlinear response in noncentrosymmetric superconductors…

Superconductivity · Physics 2023-02-15 Hiroto Tanaka , Hikaru Watanabe , Youichi Yanase

There are a variety of nonlinear optical effects including higher harmonic generations, photovoltaic effects, and nonlinear Kerr rotations. They are realized by the strong light irradiation to materials that results in nonlinear…

Mesoscale and Nanoscale Physics · Physics 2016-05-26 Takahiro Morimoto , Naoto Nagaosa

We present a microscopic theory of the magnetic quadrupole moment density $\mathcal{Q}_{ij}$ in periodic crystals with combined time reversal ($\mathcal{T}$) and inversion ($\mathcal{I}$) symmetry. We obtain a gauge-invariant expression…

Mesoscale and Nanoscale Physics · Physics 2018-08-15 Yang Gao , Di Xiao

We provide a unified semiclassical theory for the conserved current of nonconserved quantities, and manifest it in two physical contexts: the spin current of Bloch electrons and the charge current of mean-field Bogoliubov quasiparticles.…

Mesoscale and Nanoscale Physics · Physics 2022-01-05 Cong Xiao , Qian Niu

We prescribe a novel approach for continuously tailoring the local phase of the nonlinear polarizability which can lead to an arbitrary phase profile for harmonic generations. The introduced phase of the nonlinear polarizability is…

We develop a theory of Berry phase effect in anomalous transport in ferromagnets driven by statistical forces such as the gradient of temperature or chemical potential. Here a charge Hall current arises from the Berry phase correction to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Di Xiao , Yugui Yao , Zhong Fang , Qian Niu

The Berry curvature dipole induced by symmetry breaking play a pivotal role in electronic transport properties and nonlinear responses, such as the nonlinear Hall effect and circular photogalvanic effect. The study of the Berry curvature…

Materials Science · Physics 2026-03-05 Wenzhe Zhou , Dehe Zhang , Guibo Zheng , Yinheng Li , Fangping Ouyang

It has been proposed that the superconductivity of Sr$_2$RuO$_4$ is characterized by pairing that is unconventional and, furthermore, spontaneously breaks time-reversal symmetry. However, one of the key expected consequences, viz., that the…

Superconductivity · Physics 2011-08-12 David G. Ferguson , Paul M. Goldbart

Symmetry is a cornerstone of condensed matter physics, fundamentally shaping the behavior of electronic systems and inducing the emergence of novel phenomena. The Hall effect, a key concept in this field, demonstrates how symmetry breaking,…

Mesoscale and Nanoscale Physics · Physics 2025-04-29 Shuo Wang , Wei Niu , Yue-Wen Fang

Nonlinear charge transport in solids has emerged as a powerful probe of the quantum geometric properties of Bloch electrons. While the Berry curvature underlies the intrinsic anomalous Hall effect, recent studies have suggested that the…

Mesoscale and Nanoscale Physics · Physics 2026-05-05 Ping Tang

Electric currents have the intriguing ability to induce magnetization in nonmagnetic crystals with sufficiently low crystallographic symmetry. Some associated phenomena include the non-linear anomalous Hall effect in polar crystals and the…

In a time-reversal invariant system, while the anomalous Hall effect identically vanishes in the linear response regime due to the constraint of time-reversal symmetry on the distribution of Berry curvature, a nonlinear Hall effect can…

Materials Science · Physics 2021-06-30 Zi-Shan Liao , Hong-Hao Zhang , Zhongbo Yan

One big achievement in modern condensed matter physics is the recognition of the importance of various band geometric quantities in physical effects. As prominent examples, Berry curvature and the Berry curvature dipole are connected to the…

Mesoscale and Nanoscale Physics · Physics 2022-01-26 Huiying Liu , Jianzhou Zhao , Yue-Xin Huang , Xiaolong Feng , Cong Xiao , Weikang Wu , Shen Lai , Wei-bo Gao , Shengyuan A. Yang

Spontaneous spin polarization of the electrical current flowing through nonmagnetic semiconductor junctions can be generated by carrier scattering processes that are independent of the carrier spin. The two required elements for…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yunong Qi , Michael E. Flatté

The identification of platforms with independently tunable nonlinearity and non-Hermiticity promises a quantitative route to far-from-equilibrium universality across many-body systems. Here we show that a conventional ferromagnetic…

Mesoscale and Nanoscale Physics · Physics 2026-03-16 Vincent Flynn , Benedetta Flebus

Altermagnets exhibit momentum-dependent spin splitting despite having zero net magnetization. This enables a spin-splitter effect in which an external electric field generates transverse spin currents by separating oppositely polarized…

Mesoscale and Nanoscale Physics · Physics 2026-02-27 Sanjay Sarkar , Sayan Sarkar , Amit Agarwal
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