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The quantum geometry plays a crucial role in the nonlinear transport of quantum materials. Here, we use the Boltzmann transport formalism to study the magnetic control of nonlinear transport induced by the quantum metric in two-dimensional…

介观与纳米尺度物理 · 物理学 2025-07-15 Xu Chen , Mingbo Dou , Qin Zhang , Xianjie Wang , M. Ye. Zhuravlev , A. V. Nikolaev , L. L. Tao

Unconventional magnets with momentum-dependent spin-splitting but zero net magnetization form a recently identified class of collinear magnets that are challenging to probe via conventional means. We show that these systems can be…

介观与纳米尺度物理 · 物理学 2025-11-03 Neelanjan Chakraborti , Sudeep Kumar Ghosh , Snehasish Nandy

Quantum geometric tensor (QGT), which is usually obtained by evaluating the quantum distance between Bloch states parametrized by momentum, plays a key role in exploring the exotic responses of quantum materials. Herein, we revisit the…

介观与纳米尺度物理 · 物理学 2025-04-29 Longjun Xiang , Jinxiong Jia , Fuming Xu , Zhenhua Qiao , Jian Wang

The conventional quantum geometric tensor (QGT) is Hermitian, with a real symmetric quantum metric and an imaginary antisymmetric Berry curvature. We show that the Zeeman QGT is generically non-Hermitian and admits a natural decomposition…

量子物理 · 物理学 2026-04-29 Rongjie Cui , Longjun Xiang , Fuming Xu , Jian Wang

We demonstrate that the non-Hermitian quantum geometric tensor (QGT) governs nonlinear electrical responses in systems with a spectral line gap. The quantum metric, which is the symmetric component of the QGT and takes complex values in…

介观与纳米尺度物理 · 物理学 2026-03-24 Kai Chen , Jie Zhu

Altermagnets are rapidly emerging as a highly promising platform for spintronics, yet dynamically controlling their spin responses remains a fundamental challenge. In this work, we demonstrate that introducing periodic optical driving and…

介观与纳米尺度物理 · 物理学 2026-05-18 Kai Chen , Jie Zhu

In recent years, the investigation of nonlinear electromagnetic responses has received significant attention due to its potential for elucidating the quantum properties of matter. Although remarkable progress has been achieved in developing…

介观与纳米尺度物理 · 物理学 2025-08-28 Anwei Zhang , C. M. Wang

The combination of quantum geometry and magnetic geometry in magnets excites diverse phenomena, some critical for antiferromagnetic spintronics. However, very few material platforms have been predicted and experimentally verified to date,…

材料科学 · 物理学 2025-05-28 Haiyuan Zhu , Jiayu Li , Xiaobing Chen , Yutong Yu , Qihang Liu

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…

介观与纳米尺度物理 · 物理学 2025-05-13 Yuan Fang , Jennifer Cano , Sayed Ali Akbar Ghorashi

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…

介观与纳米尺度物理 · 物理学 2026-03-16 Motohiko Ezawa

Unambiguously identifying unconventional magnetic orders requires probes that are directly sensitive to their momentum-dependent spin-split band structures. Here, we employ a framework based on Zeeman quantum geometry to study…

介观与纳米尺度物理 · 物理学 2025-12-23 Neelanjan Chakraborti , Snehasish Nandy , Sudeep Kumar Ghosh

We present the framework of \textit{spin quantum geometry}, which is fundamentally linked to the spin degree of freedom of Bloch electrons and incorporates both the spin quantum geometric tensor (QGT) and the recently introduced Zeeman QGT,…

材料科学 · 物理学 2025-08-06 Longjun Xiang , Hao Jin , Jian Wang

The geometrical spin torque mediates an indirect interaction of magnetic moments, which are weakly exchange coupled to a system of itinerant electrons. It originates from a finite spin-Berry curvature and leads to a non-Hamiltonian…

强关联电子 · 物理学 2023-08-01 Nicolas Lenzing , David Krüger , Michael Potthoff

Over the years, Berry curvature, which is associated with the imaginary part of the quantum geometric tensor, has profoundly impacted many branches of physics. Recently, quantum metric, the real part of the quantum geometric tensor, has…

介观与纳米尺度物理 · 物理学 2025-11-25 Xiao-Bin Qiang , Tianyu Liu , Zi-Xuan Gao , Hai-Zhou Lu , X. C. Xie

The quantum geometry, comprising Berry curvature and quantum metric, plays a fundamental role in governing electron transport phenomena in solids. Recent studies show that the quantum metric dipole drives scattering-free nonlinear Hall…

介观与纳米尺度物理 · 物理学 2025-08-12 Tong-Yang Zhao , An-Qi Wang , Zhen-Tao Zhang , Zheng-Yang Cao , Xing-Yu Liu , Zhi-Min Liao

Berry curvature-related topological phenomena have been a central topic in condensed matter physics. Yet, until recently other quantum geometric quantities such as the metric and connection received only little attention due to the…

介观与纳米尺度物理 · 物理学 2025-07-08 Yiyang Jiang , Tobias Holder , Binghai Yan

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…

介观与纳米尺度物理 · 物理学 2025-08-05 Xukun Feng , Weikang Wu , Hui Wang , Weibo Gao , Lay Kee Ang , Y. X. Zhao , Cong Xiao , Shengyuan A. Yang

Quantum geometry of the electron wave function plays a significant role in the linear and non-linear responses of crystalline materials. Here, we study quantum geometry induced second harmonic generation. We identify non-linear responses…

介观与纳米尺度物理 · 物理学 2022-12-13 Pankaj Bhalla , Kamal Das , Dimitrie Culcer , Amit Agarwal

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…

Nonlinear transport phenomena offer an exciting probe into the band geometry and symmetry properties of a system. While most studies on nonlinear transport have looked at second-order nonreciprocal responses in noncentrosymmetric systems,…

介观与纳米尺度物理 · 物理学 2024-06-04 Debottam Mandal , Sanjay Sarkar , Kamal Das , Amit Agarwal
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