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Related papers: Quantum Kinetic Theory of Nonlinear Nernst Effect

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Quantum geometry - the geometry of electron Bloch wavefunctions - is central to modern condensed matter physics. Due to the quantum nature, quantum geometry has two parts, the real part quantum metric and the imaginary part Berry curvature.…

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…

Mesoscale and Nanoscale Physics · Physics 2022-09-23 Satoru Hayami , Megumi Yatsushiro , Hiroaki Kusunose

The Berry curvature and quantum metric are the imaginary part and real part, respectively, of the quantum geometric tensor which characterizes the topology of quantum states. The former is known to generate a zoo of important discoveries…

Weyl semimetals host linear energy dispersions around Weyl nodes, as well as monopoles of Berry curvature in momentum space around these points. These features give rise to unique transport signatures in a Weyl semimetal, such as transverse…

Mesoscale and Nanoscale Physics · Physics 2019-06-19 Robert C. McKay , Timothy M. McCormick , Nandini Trivedi

We study theoretically the influence of Berry phase on the real-time dynamics of the single particle focusing on the diffusive dynamics, i.e., the time-dependence of the distribution function. Our model can be applied to the real-time…

Mesoscale and Nanoscale Physics · Physics 2018-02-14 Kou Misaki , Seiji Miyashita , Naoto Nagaosa

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

Thermoelectric transport coefficients up to linear order in the applied magnetic field are microscopically studied using Kubo-Luttinger linear response theory and thermal Green's functions. We derive exact formulas for the thermoelectric…

Mesoscale and Nanoscale Physics · Physics 2025-04-11 Viktor Könye , Masao Ogata

Nonlinear Hall effect arises in materials without inversion symmetry, and the intrinsic contribution is typically from Berry curvature dipole of non-universal Fermi pockets. Here we propose that nonlinear Hall effect can reach quantization…

Strongly Correlated Electrons · Physics 2024-11-12 Nikolai Peshcherenko , Claudia Felser , Yang Zhang

We reveal the gate-tunable Berry curvature dipole polarizability in Dirac semimetal Cd3As2 nanoplates through measurements of the third-order nonlinear Hall effect. Under an applied electric field, the Berry curvature exhibits an asymmetric…

Mesoscale and Nanoscale Physics · Physics 2023-12-05 Tong-Yang Zhao , An-Qi Wang , Xing-Guo Ye , Xing-Yu Liu , Xin Liao , Zhi-Min Liao

The anomalous Nernst effect is the thermoelectric counterpart of the anomalous Hall effect, which can emerge in magnetic materials or topological materials without magnetic field. Such effect is critical to both fundamental topological…

Materials Science · Physics 2025-07-22 Zipu Fan , Jinying Yang , Yuchun Chen , Ning Zhao , Xiao Zhuo , Chang Xu , Dehong Yang , Jun Zhou , Jinluo Cheng , Enke Liu , Dong Sun

We investigate how introducing slow, time-dependent perturbations to a steady, nonequilibrium process alters the expected (excess) values of important observables, such as the dynamical activity and entropy flux. When we make a cyclic…

Statistical Mechanics · Physics 2026-04-07 Aaron Beyen , Faezeh Khodabandehlou , Christian Maes

The nonlinear Hall effect (NLHE) connects crystalline symmetry to quantum geometry, offering a probe of band topology beyond linear transport. While most studies have focused on the Berry curvature dipole in low-symmetry crystals,…

Mesoscale and Nanoscale Physics · Physics 2026-05-01 Heda Zhang , Nikolai Peshcherenko , Ning Mao , Nianlong Zou , Jiaqiang Yan , Claudia Felser , Yang Zhang

It is theoretically predicted that the Nernst coefficient is strongly suppressed and the thermal conductance is quantized in the quantum Hall regime of the two-dimensional electron gas. The Nernst effect is the induction of a thermomagnetic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hiroaki Nakamura , Naomichi Hatano , Ryoen Shirasaki

The discovery of the intrinsic anomalous Hall effect (AHE) in noncollinear antiferromagnets where transverse Hall voltage emerges without magnetic field, has opened a plethora of promising opportunities in antiferromagnetic devices. The key…

The nonlinear Hall effect has attracted much attention due to the famous, widely adopted interpretation in terms of the Berry curvature dipole in momentum space. Using ab initio Boltzmann transport equations, we find a 60% enhancement in…

Mesoscale and Nanoscale Physics · Physics 2024-03-13 Jae-Mo Lihm , Cheol-Hwan Park

Nonlinear anomalous Hall effect is the Berry curvature dipole induced second-order Hall voltage or temperature difference in response to a longitudinal electric field or temperature gradient. These are the prominent Hall responses in time…

Mesoscale and Nanoscale Physics · Physics 2022-09-28 Atasi Chakraborty , Kamal Das , Subhajit Sinha , Pratap Chandra Adak , Mandar M. Deshmukh , Amit Agarwal

Chiral anomaly and the novel quantum phenomena it induces have been widely studied for Dirac and Weyl fermions. In most typical cases, the Lorentz covariance is assumed and thus the linear dispersion relations are maintained. However, in…

Mesoscale and Nanoscale Physics · Physics 2022-01-21 Lan-Lan Gao , Xu-Guang Huang

We propose two thermo-spintronic responses in proximity induced superconductors with spin-orbit coupled band - spin Nernst effect and thermal Edelstein effect stemming respectively from momentum-space and mixed superconducting Berry…

Superconductivity · Physics 2025-08-25 Zhen-Cheng Liao , Cong Xiao , Zhi Wang , Qian Niu

The anomalous Hall effect and magneto-optical Kerr effect have traditionally been associated with ferromagnets, but recent studies reveal their presence in noncollinear antiferromagnets due to nonzero Berry curvature despite negligible net…

Strongly Correlated Electrons · Physics 2025-10-23 Camron Farhang , Weihang Lu , Yuchuan Yao , Pratap Pal , Shaofeng Han , Jian-Guo Zheng , Hua Chen , Chang-Beom Eom , Jing Xia

The anomalous Hall effect describes the generation of a transverse voltage by a longitudinal current even in the absence of an external magnetic field. While typically observed in ferromagnets, it has also been predicted to arise in…