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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

We study the quantum nonlinear planar Hall effect in bilayer graphene under a steady in-plane magnetic field. When time-reversal symmetry is broken by the magnetic field, a charge current occurs in the second-order response to an external…

Mesoscale and Nanoscale Physics · Physics 2022-12-29 Narjes Kheirabadi , Abdollah Langari

We (re) consider in this paper the problem of tunneling through an impurity in a quantum wire with arbitrary Luttinger interaction parameter. By combining the integrable approach developed in the case of Quantum Hall edge states with the…

Strongly Correlated Electrons · Physics 2009-10-31 A. Koutouza , F. Siano , H. Saleur

The observation of a Hall effect, a finite transverse voltage induced by a longitudinal current, usually requires the breaking of time-reversal symmetry, for example through the application of an external magnetic field or the presence of…

Mesoscale and Nanoscale Physics · Physics 2024-11-15 Patrick W. Krantz , Alexander Tyner , Pallab Goswami , Venkat Chandrasekhar

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

We study how the intrinsic anomalous Hall conductivity is modified in two-dimensional crystals with broken time-reversal symmetry due to weak inhomogeneity of the applied electric field. Focusing on a clean noninteracting two-band system…

Mesoscale and Nanoscale Physics · Physics 2021-04-13 Vladyslav Kozii , Alexander Avdoshkin , Shudan Zhong , Joel E. Moore

We investigate the conductance of a quantum wire with two embedded quantum dots using a T-matrix approach based on the Lippmann-Schwinger formalism. The quantum dots are represented by a quantum well with Gaussian shape and the wire is…

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…

We investigate electrical transport in a quantum wire of $N$ sites connected to an equal number $(N_i/2)$ of sources and drains of charges in bulk. Each source and drain injects and extracts charges at the same rate, respectively. We show…

Mesoscale and Nanoscale Physics · Physics 2025-02-28 Rupak Bag , Dibyendu Roy

In the presence of time reversal symmetry, a non-linear Hall effect can occur in systems without an inversion symmetry. One of the prominent candidates for detection of such Hall signals are Weyl semimetals. In this article, we investigate…

Mesoscale and Nanoscale Physics · Physics 2023-08-22 Saswata Roy , Awadhesh Narayan

We study the transport properties of a quantum wire, described by the Tomonaga-Luttinger model, in the presence of a backscattering potential provided by several extended time-dependent impurities (barriers). Employing the B\"…

Strongly Correlated Electrons · Physics 2010-07-08 D. Makogon , V. Juricic , C. Morais Smith

The nonlinear Hall effect (NLHE), an emergent response in systems with broken inversion symmetry, provides a powerful tool for probing topological transport properties. In this context, we investigate copper-substituted lead apatite…

Materials Science · Physics 2025-09-16 Bishnu Karki , Kai Chen , Pavan Hosur

Quantized transport not only exist in gapped topological states but also in metallic states. Recently, Kane proposed a quantized nonlinear conductance in ballistic metals whose value is determined by the Euler characteristic of the Fermi…

Mesoscale and Nanoscale Physics · Physics 2026-03-02 Fan Yang , Xingyu Li

We show that interlayer charge transfer in 2D materials can be driven by an in-plane electric field, giving rise to electrical multipole generation in linear and second order of in-plane field. The linear and nonlinear effects have quantum…

Mesoscale and Nanoscale Physics · Physics 2024-09-05 Huiyuan Zheng , Dawei Zhai , Cong Xiao , Wang Yao

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

Intrinsic anomalous Nernst effect (ANE), like its Hall counterpart, is generated by Berry curvature of electrons in solids. Little is known about its response to disorder. In contrast, the link between the amplitude of the ordinary Nernst…

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

We analyze the problem of directed quantum transport induced by external exponentially correlated telegraphic noise. In addition to quantum nature of the heat bath, nonlinearity of the periodic system potential brings in quantum…

Statistical Mechanics · Physics 2007-05-23 Pulak Kumar Ghosh , Debashis Barik , Deb Shankar Ray

Nonlinear charge transport, such as nonreciprocal longitudinal resistance and nonlinear Hall effect, has attracted considerable interest in probing the symmetries and topological properties of new materials. Recent research has revealed…

Unlike the conventional (linear) anomalous Nernst effect, the non-linear anomalous Nernst effect (NLANE) can survive in an inversion symmetry broken system even in the presence of time-reversal symmetry. Using semiclassical Boltzmann…

Mesoscale and Nanoscale Physics · Physics 2019-12-03 Chuanchang Zeng , Snehasish Nandy , A. Taraphder , Sumanta Tewari
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