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We study nonlinear magneto-optical responses of metals by a semiclassical Boltzmann equation approach. We derive general formulas for linear and second order nonlinear optical effects in the presence of magnetic fields that include both…

Mesoscale and Nanoscale Physics · Physics 2016-12-20 Takahiro Morimoto , Shudan Zhong , Joseph Orenstein , Joel E. Moore

Efficient electric manipulation of valley degrees of freedom is critical and challenging for the advancement of valley-based information science and technology. We put forth an electrical scheme, based on a two-band Dirac model, that can…

Mesoscale and Nanoscale Physics · Physics 2024-06-17 Yaqing Yang , Xiaoyu Cheng , Liantuan Xiao , Suotang Jia , Jun Chen , Lei Zhang , Jian Wang

We study theoretically the optical response of the surface states of a topological insulator, especially the generation of helicity-dependent direct current by circularly polarized light. Interestingly, the dominant current, due to an…

Materials Science · Physics 2013-05-29 Pavan Hosur

We propose a method for broadband long-wavelength photodetection using the nonlinear Hall effect in non-centrosymmetric quantum materials. The inherently quadratic relation between transverse current and input voltage at zero magnetic field…

Materials Science · Physics 2021-07-07 Yang Zhang , Liang Fu

It is demonstrated that the non-instantaneous response of the optically induced coherent polarization tremendously influences the real-space shift of electronic charges in semiconductors. The possibility to coherently control this…

Optics · Physics 2013-06-14 Shekhar Priyadarshi , Klaus Pierz , Mark Bieler

The integer quantum Hall effect can be observed in a two-dimensional conductor penetrated by a perpendicular magnetic field and with edges connecting the current carrying contacts. Its signature is a state of quantized Hall and…

Mesoscale and Nanoscale Physics · Physics 2025-06-19 Serkan Sirt , Vladimir Y. Umansky , Afif Siddiki , Stefan Ludwig

This paper focuses on the study of linear exciton Hall and Nernst effects in monolayer two-dimensional (2D) semiconductors, employing the semi-classical transport theory. By deriving the exciton Berry curvature in momentum space for a…

Mesoscale and Nanoscale Physics · Physics 2026-01-01 Weilong Guo , Lianguo Li , Qingjun Tong , Ci Li

Quantum geometry may enable the development of quantum phases ranging from superconductivity to correlated topological states. One powerful probe of quantum geometry is the nonlinear Hall response which detects Berry curvature dipole in…

Mesoscale and Nanoscale Physics · Physics 2026-05-11 Yuan Fang , Shouvik Sur , Yonglong Xie , Qimiao Si

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

The non-linear generalization of the Hall effect has recently gained much attention, with a rapidly growing list of non-centrosymmetric materials that display higher-order Hall responses under time-reversal invariant conditions. The…

Materials Science · Physics 2024-07-26 Nesta Benno Joseph , Arka Bandyopadhyay , Awadhesh Narayan

A bicircular light (BCL) consists of left and right circularly polarized lights with different frequencies, and draws a rose-like pattern with a rotational symmetry determined by the ratio of the two frequencies. Here we show that an…

Mesoscale and Nanoscale Physics · Physics 2023-09-13 Yuya Ikeda , Sota Kitamura , Takahiro Morimoto

Detecting topological phase transitions in bulk is challenging due to the limitations of surface sensitive probes like ARPES. Here, we demonstrate that nonlinear bulk photocurrents, specifically shift and injection currents, serve as…

Materials Science · Physics 2025-09-17 Debasis Dutta , Raihan Ahammed , Yingdong Wei , Xiaokai Pan , Xiaoshuang Chen , Lin Wang , Amit Agarwal

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

We develop a theory of nonlinear response to an electric field of two-dimensional (2D) fermions with topologically non-trivial wave functions characterized by the Berry phase $\Phi_n = n \pi, n = 1,2,...$. In particular, we find that owing…

Mesoscale and Nanoscale Physics · Physics 2020-04-22 O. E. Raichev , M. A. Zudov

While in pristine bilayer graphene the Berry curvature dipole (BCD), a necessary ingredient for the nonlinear anomalous Hall effect, is zero, uniaxial strain can give rise to finite BCD. We investigate this by using a tight-binding (TB)…

Mesoscale and Nanoscale Physics · Physics 2026-01-12 Karel Cuypers , Robin Smeyers , Bert Jorissen , Lucian Covaci

The quantum geometric properties of topological materials underpin many exotic physical phenomena and applications. Quantum nonlinearity has emerged as a powerful probe for revealing these properties. The Berry curvature dipole in…

Mesoscale and Nanoscale Physics · Physics 2025-01-23 Xing-Yu Liu , An-Qi Wang , Dong Li , Tong-Yang Zhao , Xin Liao , Zhi-Min Liao

We present an ab-initio real-time-based computational approach to study nonlinear optical properties in condensed matter systems that is especially suitable for crystalline solids and periodic nanostructures. The equations of motion and the…

Materials Science · Physics 2013-12-13 C. Attaccalite , M. Grüning

Many quantum materials of interest, ex., bilayer graphene, possess a number of closely spaced but not fully degenerate bands near the Fermi level, where the coupling to the far detuned remote bands can induce Berry curvatures of the…

Mesoscale and Nanoscale Physics · Physics 2021-10-12 Ci Li , Matisse Wei-Yuan Tu , Wang Yao

Photocurrent generation is studied in a system composed of a quantum wire with side-coupled quantum rings. The current generation results from the interplay of the particular geometry of the system and the use of circularly polarized…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Yuriy V. Pershin , Carlo Piermarocchi

In non-Hermitian band structures, exceptional points generically form gapless lines or loops that give rise to extensively many defective eigenstates. In this work, we investigate how they nontrivially contribute to higher-order nonlinear…

Mesoscale and Nanoscale Physics · Physics 2025-06-13 Fang Qin , Ruizhe Shen , Ching Hua Lee
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