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We investigate the nonlinear Hall responses in tunable two-dimensional Dirac materials. In particular, we study quantum geometry-driven second and third order non-linear responses in a time-reversal symmetric Dirac semimetal that can host…

Mesoscale and Nanoscale Physics · Physics 2025-11-26 Akash Dey

We compute the magnetoelectric conductivity for ideal nodal-line semimetals (NLSMs), with a finite but tiny mass-gap, in distinct planar-Hall set-ups. Each differing configuration results from the relative orientation of the nodal-ring's…

Mesoscale and Nanoscale Physics · Physics 2026-03-19 Fasil Hussain Rather , Firdous Haidar , Muhammed Jaffar A. , Ipsita Mandal

We present a theory of the influence of band renormalization and excitonic electron-electron interaction effects on the optical conductivity $\sigma(\omega)$ of doped bilayer graphene. Using the Keldysh formalism, we derive a kinetic…

Mesoscale and Nanoscale Physics · Physics 2009-12-05 Wang-Kong Tse , A. H. MacDonald

We investigate quantum dynamics and kinetics of a 2D conductor with closed Fermi surface reconstructed by a biaxial density wave, in which electrons move along a two-dimensional periodic net of semiclassical trajectories coupled by the…

Strongly Correlated Electrons · Physics 2021-10-28 A. M. Kadigrobov , B. Keran , D. Radić

We study the dynamical response function relevant for two-dimensional coherent nonlinear optical spectroscopy of the antiferromagnetic frustrated $J_{1}$-$J_{3}$ Heisenberg model on the square lattice within its long-range ordered,…

Strongly Correlated Electrons · Physics 2025-04-11 Wolfram Brenig

Motivated by a recent progress in studying the duality-symmetric models of nonlinear electrodynamics, we revert to the auxiliary tensorial (bispinor) field formulation of the O(2) duality proposed by us in arXiv:hep-th/0110074,…

High Energy Physics - Theory · Physics 2013-06-04 E. A. Ivanov , B. M. Zupnik

Electrical transport in non-centrosymmetric materials departs from the well-established phenomenological Ohm's law. Instead of a linear relation between current and electric field, a non-linear conductivity emerges along specific…

Nonlinear optical responses are a crucial probe of physical systems including periodic solids. In the absence of electron-electron interactions, they are calculable with standard perturbation theory starting from the band structure of Bloch…

Strongly Correlated Electrons · Physics 2019-01-16 Daniel E. Parker , Takahiro Morimoto , Joseph Orenstein , Joel E. Moore

We decompose the intrinsic second-order nonlinear Hall effect (NLHE) of a generic multiband system into its quantum-geometric contributions within a fully quantum-mechanical, projector-based formalism. By expanding the nonlinear…

Mesoscale and Nanoscale Physics · Physics 2026-05-08 Yannis Ulrich , Johannes Mitscherling , Laura Classen , Andreas P. Schnyder

The quantum geometric tensor, which has the quantum metric and Berry curvature as its real and imaginary parts, plays a key role in the transport properties of condensed matter systems. In the nonlinear regime, the quantum metric dipole and…

Mesoscale and Nanoscale Physics · Physics 2025-05-02 Xu Yang , Brian Skinner

The exact nonlinear response of noninteracting (Bloch) electrons is examined within a nonequilibrium formalism on the infinite-dimensional hypercubic lattice. We examine the effects of a spatially uniform, but time-varying electric field…

Statistical Mechanics · Physics 2009-11-10 V. Turkowski , J. K. Freericks

We develop a theory of the nonlinear optical responses in superconducting systems in the presence of a dc supercurrent. The optical transitions between particle-hole pair bands across the superconducting gap are allowed in clean…

Superconductivity · Physics 2023-12-29 Linghao Huang , Jing Wang

We study the transport properties in nodal line semimetals with short-ranged impurity potentials at zero temperature. By computing the Drude conductivity and the corrections from the interference of particle and hole trajectories, we find…

Mesoscale and Nanoscale Physics · Physics 2019-08-26 Hui Yang , Fa Wang

The nonlinear optical behavior of quantum systems plays a crucial role in various photonic applications. This study introduces a novel framework for understanding these nonlinear effects by incorporating gauge-covariant formulations based…

General Physics · Physics 2025-03-11 Jingxu Wu , Chenjia Li

A 2D electron system in a quantized magnetic field can be driven by microwave radiation into a non-equilibrium state with strong magnetooscillations of the dissipative conductivity. We demonstrate that in such system a negative conductivity…

Mesoscale and Nanoscale Physics · Physics 2012-03-01 S. I. Dorozhkin , I. A. Dmitriev , A. D. Mirlin

The electron transport between two zigzag graphene nanoribbons (ZGNRs) connected by carbon atomic chains has been investigated by the nonequilibrium Green's function method combined with the density functional theory. The symmetry of the…

Mesoscale and Nanoscale Physics · Physics 2013-09-13 Yao-Jun Dong , Xue-Feng Wang , Ming-Xing Zhai , Jian-Chun Wu , Liping Zhou , Qin Han , Xue-Mei Wu

Recent studies have shown that the nonlinear optical response of crystalline systems is fundamentally a quantum geometric property. In this work, we propose two-dimensional coherent spectroscopy (2DCS), which measures the nonlinear…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Paul Froese , Mark R. Hirsbrunner , Yong Baek Kim

Motivated by the recent experimental measurements of the nonlinear longitudinal resistance of the spin-orbit coupled electron gas in the (111) LaTiO$_3$/SrTiO$_3$ interfaces under external in-plane magnetic field [G. Tuvia \emph{et al.},…

Strongly Correlated Electrons · Physics 2025-07-28 Aidan Steineman , Maxim Khodas , Maxim Dzero

In recent years, there has been growing interest in non-Hermitian phenomena in low-symmetry conductors, particularly optical gain driven by electro-optic effects. Conventional semiclassical treatments typically attribute these effects to…

Optics · Physics 2025-12-09 Sylvain Lannebère , Nader Engheta , Mário G. Silveirinha

Nonlinear optical frequency conversion, where optical fields interact with a nonlinear medium to generate new frequencies, is a key phenomenon in modern photonic systems. However, a major challenge with these techniques lies in the…

Materials Science · Physics 2024-12-05 Simone Grillo , Elena Cannuccia , Maurizia Palummo , Olivia Pulci , Claudio Attaccalite