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We propose a nonlinear orbital magnetoelectric effect, which generates orbital magnetization quadratically in centrosymmetric materials where the linear orbital magnetoelectric effect is strictly forbidden. Using extended semiclassical…

Mesoscale and Nanoscale Physics · Physics 2026-05-19 Jinxiong Jia , Zhenhua Qiao , Jian Wang

In this paper, we give a geometric approach to the cubic oscillator with three distinct turning points based on the $\mathcal{D\diagup SG}$\emph{\ correspondence }introduced in \cite{Thabet+al}. The existence of quantization conditions,…

Classical Analysis and ODEs · Mathematics 2025-11-18 Faouzi Thabet , Gliia Braek , Marwa Mansouri , Mondher Chouikhi

Effects manifesting quantum geometry have been a focus of physics research. Here, we reveal that quantum metric plays a crucial role in nonlinear electric spin response, leading to a quantum metric spin-orbit torque. We argue that enhanced…

Mesoscale and Nanoscale Physics · Physics 2025-08-05 Xukun Feng , Weikang Wu , Hui Wang , Weibo Gao , Lay Kee Ang , Y. X. Zhao , Cong Xiao , Shengyuan A. Yang

Arrays of semiconductor quantum dots provide a powerful platform to design correlated quantum matter from the bottom up. We establish a predictive framework for engineering local electron pairing in these artificial molecules by…

Strongly Correlated Electrons · Physics 2025-10-31 Shivanshu Dwivedi , Kalum Palandage

Quantum geometry plays a pivotal role in the second-order response of $\cal PT$-symmetric antiferromagnets. Here we study the nonlinear response of 2D altermagnets protected by $C_n\cal T$ symmetry and show that their leading nonlinear…

Mesoscale and Nanoscale Physics · Physics 2025-05-13 Yuan Fang , Jennifer Cano , Sayed Ali Akbar Ghorashi

The interplay between quantum geometry and electron correlation has emerged as a compelling paradigm in quantum many-body physics. Recent studies have highlighted the diagnostic utility of quantum geometry in identifying magnetic…

Strongly Correlated Electrons · Physics 2026-04-21 Min-Fong Yang

*The abstract of this article is too long to be included in the arXiv metadata; please see the paper for the full abstract.* ...In this paper, we introduce the detailed theory of cubic-in-magnetization magneto-optic Kerr effect (CMOKE) by…

Optics · Physics 2026-03-05 Robin Silber , Maik Gaerner , Kamil Postava , Jaroslav Hamrle , Timo Kuschel

In this study, we present a theoretical interpretation of the experimental results that the anisotropic magnetoresistance (AMR) effect has a four-fold symmetric component, $c_4$, in cubic ferromagnetic metals. The theoretical model that we…

Applied Physics · Physics 2020-04-07 Yuta Yahagi , Daisuke Miura , Akimasa Sakuma

The electric magnetochiral anisotropy is a nonreciprocal phenomenon accessible via second harmonic transport in noncentrosymmetric, time-reversal invariant materials, in which the rectification of current, ${\bf I}$, can be controlled by an…

A quantized Hall conductance (not conductivity) in three dimensions has been searched for more than 30 years. Here we explore it in 3D topological nodal-line semimetals, by using a model capable of describing all essential physics of a…

Mesoscale and Nanoscale Physics · Physics 2024-01-30 Guang-Qi Zhao , W. B. Rui , C. M. Wang , Hai-Zhou Lu , X. C. Xie

Geometric quantum mechanics aims to express the physical properties of quantum systems in terms of geometrical features preferentially selected in the space of pure states. Geometric characterisations are given here for systems of one, two,…

Quantum Physics · Physics 2007-06-13 Dorje C. Brody , Anna C. T. Gustavsson , Lane P. Hughston

Quantum geometry is a differential geometry based on quantum mechanics. It is related to various transport and optical properties in condensed matter physics. The Zeeman quantum geometry is a generalization of quantum geometry including the…

Mesoscale and Nanoscale Physics · Physics 2026-03-16 Motohiko Ezawa

Quantum geometry provides an intrinsic framework for characterizing the geometric structure of quantum states. It highlights its relevance to various aspects of fundamental physics. However, its direct implications for magnetic phenomena…

Mesoscale and Nanoscale Physics · Physics 2026-02-04 Xuan Qian , Xiao-Bin Qiang , Wenkai Zhu , Yuqing Huang , Yiyuan Chen , Hai-Zhou Lu , Yang Ji , Kaiyou Wang

We extend the band theory of linear orbital magnetoelectric coupling to treat crystals under finite electric fields. Previous work established that the orbital magnetoelectric response of a generic insulator at zero field comprises three…

Materials Science · Physics 2012-09-28 Andrei Malashevich , David Vanderbilt , Ivo Souza

We elaborate that $s$-wave and $d$-wave superconductors described by mean field theories possess a nontrivial quantum geometry. From the overlap of two quasihole states at slightly different momenta, one can define a quantum metric that…

Superconductivity · Physics 2023-10-13 David Porlles , Wei Chen

We study the orbital magnetic quadrupole moment (MQM) in three dimensional higher-order topological phases. Much like electric quadrupole moment, which is associated with a charge response on the boundaries of a finite sample, the diagonal…

Mesoscale and Nanoscale Physics · Physics 2022-11-17 Jacopo Gliozzi , Mao Lin , Taylor L. Hughes

We consider dynamics of spatial beams in a dual-channel waveguide with competing cubic and quintic (CQ) nonlinearities. Gradually increasing the power in the input channel, we identify four different regimes of the pulses coupling into the…

Pattern Formation and Solitons · Physics 2009-11-11 Rodislav Driben , Boris A Malomed , Pak L Chu

We present a unifying framework that allows us to study the mixed crystalline-electromagnetic responses of topological semimetals in spatial dimensions up to $D = 3$ through dimensional augmentation and reduction procedures. We show how…

Mesoscale and Nanoscale Physics · Physics 2023-09-21 Mark R. Hirsbrunner , Oleg Dubinkin , Fiona J. Burnell , Taylor L. Hughes

In order to explore the effects of structural geometry on properties of correlated metals we investigate the magnetic properties of cubic (3C) and hexagonal (4H) BaRuO$_3$. While the 3C variant of BaRuO$_3$ is ferromagnetic below 60K, the…

Strongly Correlated Electrons · Physics 2022-06-13 Hrishit Banerjee , Hermann Schnait , Markus Aichhorn , Tanusri Saha-Dasgupta

A proposal for applying non-adiabatic geometric phases to quantum computing, called the double-loop method [S.-L. Zhu and Z. D. Wang, Phys. Rev. A {\bf 67}, 022319 (2003)], is demonstrated in a liquid state NMR quantum computer. Using a…

Quantum Physics · Physics 2009-11-11 Yukihiro Ota , Yoshito Goto , Yasusi Kondo , Mikio Nakahara
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