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Related papers: An intrinsic nonlinear Ohmic current

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The second-order nonlinear current originates from three physical mechanisms: extrinsic nonlinear Drude and Berry curvature dipole and intrinsic Berry connection polarizability. Here, we predict a new intrinsic contribution to the current…

Mesoscale and Nanoscale Physics · Physics 2023-12-13 Kamal Das , Shibalik Lahiri , Rhonald Burgos Atencia , Dimitrie Culcer , Amit Agarwal

Nonlinear spin polarization occurring in the second order of driving electric current is the dominant source of nonequilibrium magnetization in centrosymmetric or weakly noncentrosymmetric nonmagnetic materials, and induces nonlinear…

Mesoscale and Nanoscale Physics · Physics 2024-03-08 Ruda Guo , Yue-Xin Huang , Xiaoxin Yang , Yi Liu , Cong Xiao , Zhe Yuan

The appearance of a Hall conductance necessarily requires breaking of time-reversal symmetry, either by an external magnetic field or by the internal magnetization of a material. However, as a second response, Hall dissipationless…

Mesoscale and Nanoscale Physics · Physics 2021-07-23 Carmine Ortix

In recent years, nonlinear Hall effect has attracted great attention with three different terms contributed by Drude effect, Berry curvature dipole and Berry connection polarizability. In this work, we theoretically predict an intrinsic…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Zhi-Fan Zhang , Zhen-Gang Zhu , Gang Su

The Nernst and Seebeck effects are crucial for thermoelectric energy harvesting. However, the linear anomalous Nernst effect requires magnetic materials with intrinsically broken time-reversal symmetry. In non-magnetic systems, the dominant…

Mesoscale and Nanoscale Physics · Physics 2025-09-17 Harsh Varshney , Amit Agarwal

Berry curvature, a momentum space property, can manifest itself in current responses. The well-known anomalous Hall effect in time-reversal-breaking systems arises from a Berry curvature monopole. In time-reversal-invariant materials, a…

Mesoscale and Nanoscale Physics · Physics 2025-03-26 Tohid Farajollahpour , R. Ganesh , Kirill Samokhin

It is well-known that a non-vanishing Hall conductivity requires time-reversal symmetry breaking. However, in this work, we demonstrate that a Hall-like transverse current can occur in second-order response to an external electric field in…

Mesoscale and Nanoscale Physics · Physics 2015-12-22 Inti Sodemann , Liang Fu

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

The band geometric properties of quantum materials play an elemental role in the linear and nonlinear transport of electrons. In this paper, we propose that the interplay of the Berry curvature, the orbital magnetic moment and the Lorentz…

Mesoscale and Nanoscale Physics · Physics 2022-03-22 Shibalik Lahiri , Tanmay Bhore , Kamal Das , Amit Agarwal

For a long period of time, we have been seeking how Berry curvature influnces the transport properties in materials breaking time-reversal symmetry. In time-reversal symmetric material, there will be no thermoelectric current induced by…

Mesoscale and Nanoscale Physics · Physics 2020-12-15 Hongchao Li

We present a comprehensive study of magnetoconductivity for general three-dimensional non-magnetic metals within the Berry-curvature-corrected semiclassical and Boltzmann framework. We find a new contribution, which is intrinsic in the…

Mesoscale and Nanoscale Physics · Physics 2017-05-03 Yang Gao , Shengyuan A. Yang , Qian Niu

A new nonlinear scheme of high harmonics generation in a wide class of time-reversal invariant materials with broken spatial inversion symmetry (where recently the nonlinear Hall effect has been established) due to the nontrivial topology…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 H. K. Avetissian , G. F. Mkrtchian

We study the nonlinear responses of relativistic chiral matter to the external fields, such as the electric field ${\bf E}$, gradients of temperature and chemical potential, ${\bf \nabla} T$ and ${\bf \nabla} \mu$. Using the kinetic theory…

High Energy Physics - Theory · Physics 2016-06-29 Jiunn-Wei Chen , Takeaki Ishii , Shi Pu , Naoki Yamamoto

The nonlinear Hall effect, which is the second-order harmonic charge Hall effect from the Berry curvature dipole in momentum space, has received much attention recently. As the responses to higher harmonics of the driving ac electric field…

Materials Science · Physics 2021-10-14 Zhi-Fan Zhang , Zhen-Gang Zhu , Gang Su

The miniaturization of integrated circuits is facing an obstruction due to the escalating electrical resistivity of conventional copper interconnects. The underlying reason for this problem was unveiled by Fuchs and Sondheimer, who showed…

Mesoscale and Nanoscale Physics · Physics 2024-12-03 Robin Durand , Louis-Thomas Gendron , Théo Nathaniel Dionne , Ion Garate

The symmetric and antisymmetric parts of the linear conductivity describe the dissipative (Ohmic) and nondissipative (Hall) parts of the current. The Hall current is always transverse to the applied electric field regardless of its…

Materials Science · Physics 2022-10-25 Stepan S. Tsirkin , Ivo Souza

It has recently been realized that the first-order moment of the Berry curvature, namely the Berry curvature dipole (BCD) can give rise to non-linear current in a wide variety of time-reversal invariant and non-centrosymmetric materials.…

Mesoscale and Nanoscale Physics · Physics 2021-05-31 Sai Satyam Samal , S. Nandy , Kush Saha

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

Motivated by the nonlinear Hall effect observed in topological semimetals, we studied the photocurrent by the quantum kinetic equation. We recovered the shift current and injection current discovered by Sipe et al., and the nonlinear Hall…

Materials Science · Physics 2020-01-23 Zhi Li , Takami Tohyama , Toshiaki Iitaka , Haibin Su , Haibo Zeng

The Schr\"odinger-Pauli theory is generally believed to give a faithful representation of the nonrelativistic and weakly relativistic limit of the Dirac theory. However, the Schr\"odinger-Pauli theory is fundamentally incomplete in its…

Materials Science · Physics 2025-08-14 R. Winkler , U. Zülicke
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