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Violation of parity symmetry gives rise to various physical phenomena such as nonlinear transport and cross-correlated responses. In particular, the nonlinear conductivity has been attracting a lot of attentions in spin-orbit coupled…

Materials Science · Physics 2020-10-19 Hikaru Watanabe , Youichi Yanase

We theoretically propose the emergence of nonlinear nonreciprocal conductivity in centrosymmetric paramagnetic systems when a spatially gradient magnetic field is externally applied. The key essence lies in the appearance of magnetic…

Strongly Correlated Electrons · Physics 2024-12-25 Taisei Yamanaka , Yoshihiko Ihara , Satoru Hayami

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…

Mesoscale and Nanoscale Physics · Physics 2025-11-25 Xiao-Bin Qiang , Tianyu Liu , Zi-Xuan Gao , Hai-Zhou Lu , X. C. Xie

Nonlinear responses in transport experiments may unveil information and generate new phenomena in materials that are not accessible at linear order due to symmetry constraints. While the linear anomalous Hall response strictly requires the…

Mesoscale and Nanoscale Physics · Physics 2025-01-30 Ankita Bhattacharya , Annica M. Black-Schaffer

Fundamental Casimir-Onsager symmetry rules for linear response do not apply to non linear transport. This motivates the investigation of nonlinear dc conductance of mesoscopic GaAs/GaAlAs rings in a 2 wire configuration. The second order…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. Angers , E. Zakka-Bajjani , R. Deblock , S. Gueron , A. Cavanna , U. Gennser , M. Polianski , H. Bouchiat

Motivated by the recent experimental progress in studying conventional and unconventional superconductors in a pump-probe setup, we perform a comprehensive theoretical analysis of the nonlinear response of a diffusive BCS conventional…

Superconductivity · Physics 2024-01-18 Pascal Derendorf , Anatoly F. Volkov , Ilya M. Eremin

Nonreciprocal transport in uniform systems has attracted great research interest recently and the existing theories mainly focus on the diffusive regime. In this study, we uncover a novel scenario for nonreciprocal charge transport in the…

Mesoscale and Nanoscale Physics · Physics 2024-05-15 Minhao Zou , Hao Geng , Rong Ma , Wei Chen , Li Sheng , Dingyu Xing

We derive an effective Hamiltonian for the nonlinear process of parametric down conversion in the presence of absorption. Based upon the Green function method for quantizing the electromagnetic field, we first set up Heisenberg's equations…

Quantum Physics · Physics 2015-03-13 J. A. Crosse , Stefan Scheel

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

Kohn's theory of Drude conductivity, established in a many-body framework, addresses even systems with disorder and correlation, besides the ordinary band metals (i.e. crystalline systems of independent electrons). Kohn's theory is here…

Materials Science · Physics 2021-11-25 Raffaele Resta

The linear electromagnetic response of a uniform electron gas to a longitudinal electric field is determined, within the self-consistent-field theory, by the linear polarizability and the Lindhard dielectric function. Using the same…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 S. A. Mikhailov

We study nonlinear electronic transport symmetries in Aharonov-Bohm interferometers subjected to inelastic scattering effects and show that odd (even) conductance terms are even (odd) in the magnetic field when the junction is (left-right)…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Salil Bedkihal , Malay Bandyopadhyay , Dvira Segal

Magnetic topological materials and their physical signatures are a focus of current research. Here, by first-principles calculations and symmetry analysis, we reveal topological semimetal states in an existing antiferromagnet ThMn2Si2.…

Materials Science · Physics 2023-05-24 Ziming Zhu , Huiying Liu , Yongheng Ge , Zeying Zhang , Weikang Wu , Cong Xiao , Shengyuan A. Yang

Intense laser-driven nonlinear optical phenomena in two-dimensional (2D) nodal-line semimetals (NLS) exhibit complex mechanisms, particularly in the NbSi$_{x}$Te$_{2}$ material systems characterized by nonsymmorphic symmetry-protected band…

Optics · Physics 2025-08-25 Navdeep Rana , M. S. Mrudul , Amar Bharti , Sucharita Giri , Gopal Dixit

We study the Hall conductivity of a two-dimensional electron gas under an inhomogeneous magnetic field $B(x)$. First, we prove using the quantum kinetic theory that an odd magnetic field can lead to a purely nonlinear Hall response. Second,…

Mesoscale and Nanoscale Physics · Physics 2021-10-28 Botsz Huang , Ali G. Moghaddam , Jorge I. Facio , Ching-Hao Chang

We predict a non-thermal magneto-optical effect for magnetic insulators subject to intense light carrying orbital angular momentum (OAM). Using a classical approach to second harmonic generation in non-linear media with specific symmetry…

Mesoscale and Nanoscale Physics · Physics 2014-10-17 Thomas Bose , Jamal Berakdar

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

Nonlinear responses in condensed matters attract recent intensive interest because they provide rich information about the materials and hold the possibility of being applied in diodes or high-frequency optical devices. Nonlinear responses…

Strongly Correlated Electrons · Physics 2022-10-05 Yoshihiro Michishita , Naoto Nagaosa

We analyze intrinsic nonlinearities in two-dimensional polaritonic materials interacting with an optical wave. Focusing on the case of graphene, we show that the second-order nonlinear optical conductivity due to carrier density…

Mesoscale and Nanoscale Physics · Physics 2019-07-24 Christian Wolff , Christos Tserkezis , N. Asger Mortensen

We numerically investigate the second-order nonlinear Hall transport properties of a four-terminal system with time-reversal symmetry and broken inversion symmetry. Within the nonequilibrium Green's function formalism, the second-order…

Mesoscale and Nanoscale Physics · Physics 2022-03-17 Miaomiao Wei , Bin Wang , Yunjin Yu , Fuming Xu , Jian Wang