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Related papers: Quantum geometry induced nonlinear transport in al…

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Noncentrosymmetric superconductors offer fascinating phenomena of quantum transport and optics such as nonreciprocal and nonlinear responses. Time-reversal symmetry breaking often plays an essential role in the emergence and enhancement of…

Superconductivity · Physics 2025-03-31 Hiroto Tanaka , Hikaru Watanabe , Youichi Yanase

Nonlinear optical response is well studied in the context of semiconductors and has gained a renaissance in studies of topological materials in the recent decade. So far it mainly deals with non-magnetic materials and it is believed to root…

Mesoscale and Nanoscale Physics · Physics 2020-07-31 Tobias Holder , Daniel Kaplan , Binghai Yan

We review our recent works on the quantum transport, mainly in topological semimetals and also in topological insulators, organized according to the strength of the magnetic field. At weak magnetic fields, we explain the negative…

Mesoscale and Nanoscale Physics · Physics 2019-05-07 Hai-Peng Sun , Hai-Zhou Lu

We investigate the intrinsic anomalous thermal Hall effect in d-wave altermagnets, where a transverse heat current is generated by a longitudinal temperature gradient in the absence of a magnetic field, with the leading response…

Mesoscale and Nanoscale Physics · Physics 2026-05-01 Rishi G. Gopalakrishnan , Srimayi Korrapati , Sumanta Tewari

Altermagnets are a recently discovered class of compensated magnets with momentum-dependent spin splittings and unusual transport properties, even without a net magnetization. In the presence of combined four-fold rotation and time-reversal…

Mesoscale and Nanoscale Physics · Physics 2025-10-17 Arnob Mukherjee , Biplab Sanyal , Annica M. Black-Schaffer , Ankita Bhattacharya

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…

Mesoscale and Nanoscale Physics · Physics 2025-08-28 Anwei Zhang , C. M. Wang

It has been recently established that transport measurements in the nonlinear regime can give direct access to the quantum metric (QM): the real part of the quantum geometric tensor characterizing the geometry of the electronic…

Mesoscale and Nanoscale Physics · Physics 2025-05-01 Maria Teresa Mercaldo , Mario Cuoco , Carmine Ortix

The importance of the quantum metric in flat-band systems has been noticed recently in many contexts such as the superfluid stiffness, the dc electrical conductivity, and ideal Chern insulators. Both the quantum metric of degenerate and…

Mesoscale and Nanoscale Physics · Physics 2022-11-10 Bruno Mera , Johannes Mitscherling

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…

Mesoscale and Nanoscale Physics · Physics 2026-03-24 Kai Chen , Jie Zhu

Ideal Chern insulating phases arise in two-dimensional systems with broken time-reversal symmetry. They are characterized by having nearly-flat bands, and a uniform quantum geometry -- which combines the Berry curvature and quantum metric…

Mesoscale and Nanoscale Physics · Physics 2022-04-18 Christian Northe , Giandomenico Palumbo , Jonathan Sturm , Christian Tutschku , Ewelina M. Hankiewicz

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…

Mesoscale and Nanoscale Physics · Physics 2022-12-13 Pankaj Bhalla , Kamal Das , Dimitrie Culcer , Amit Agarwal

We systematically investigate nonlinear Ohmic responses in second-harmonic generation and bilinear magnetoelectric effects within the Matsubara Green's function formalism. The optical nonlinear Ohmic conductivity is shown to consist of a…

Mesoscale and Nanoscale Physics · Physics 2026-05-19 Anwei Zhang , Zheng Cai , C. M. Wang

We investigate the second-order anomalous Hall response in two-dimensional higher-wave symmetric magnets, including the recently discovered class of collinear magnets known as altermagnets, when subjected to a symmetry-breaking external…

Mesoscale and Nanoscale Physics · Physics 2025-11-17 Srimayi Korrapati , Snehasish Nandy , Sumanta Tewari

Quantum metric and Berry curvature are the real part and imaginary part of the quantum geometric tensor, respectively. The T-odd (T: time-reversal) nonlinear Hall effect driven by the quantum metric dipole, recently confirmed in Science…

Mesoscale and Nanoscale Physics · Physics 2024-02-08 Longjun Xiang , Bin Wang , Yadong Wei , Zhenhua Qiao , Jian Wang

In noncentrosymmetric metals such as $C_{3v}$ topological-insulator surfaces, moir\'e heterobilayers, and zincblende crystals, point-group symmetry can forbid the linear and quadratic electric-field-induced orbital magnetization, leaving…

Mesoscale and Nanoscale Physics · Physics 2026-05-27 T. Farajollahpour

Topological effects arising from the Berry curvature lead to intriguing transport signatures in quantum materials. Two such phenomena are the chiral anomaly and nonlinear Hall effect (NLHE). A unified description of these transport regimes…

Materials Science · Physics 2026-03-25 Dhruv C. Desai , Lauren A. Tan , Jin-Jian Zhou , Shiyu Peng , Jinsoo Park , Marco Bernardi

Response properties that are purely intrinsic to physical systems are of paramount importance in physics research, as they probe fundamental properties of band structures and allow quantitative calculation and comparison with experiment.…

Mesoscale and Nanoscale Physics · Physics 2022-01-11 Huiying Liu , Jianzhou Zhao , Yue-Xin Huang , Weikang Wu , Xian-Lei Sheng , Cong Xiao , Shengyuan A. Yang

Nonlinear electronic transport has emerged as a powerful probe of the quantum geometry in topological quantum materials, where the band topology and broken symmetries facilitate power law current voltage responses beyond Ohms law. While…

Altermagnets represent a novel category of magnetic materials characterized by zero net magnetization yet featuring spin-split band structures, and they demonstrate distinctive orbital-spin locking phenomena. Commencing from the minimal…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 Shihao Zhang

Recent studies have revealed that the quantum geometry of electronic bands determines the electromagnetic properties of non-interacting insulators and semimetals. However, the role of quantum geometry in the optical responses of interacting…

Strongly Correlated Electrons · Physics 2026-04-01 Deven P. Carmichael , Martin Claassen