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Under symmetry breaking, a three-dimensional nodal-line semimetal can turn into a topological insulator or Weyl semimetal, accompanied by the generation of momentum-space Berry curvature. We develop a theory that unifies their circular…

Materials Science · Physics 2018-01-31 Ying Liu , Shengyuan A. Yang , Fan Zhang

Noncentrosymmetric metals are anticipated to exhibit a $dc$ photocurrent in the nonlinear optical response caused by the Berry curvature dipole in momentum space. Weyl semimetals (WSMs) are expected to be excellent candidates for observing…

Materials Science · Physics 2018-01-10 Yang Zhang , Yan Sun , Binghai Yan

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

Weyl points are the simplest topologically-protected degeneracy in a three-dimensional dispersion relation. The realization of Weyl semimetals in photonic crystals has allowed these singularities and their consequences to be explored with…

Mesoscale and Nanoscale Physics · Physics 2020-11-23 R. L. Mc Guinness , P. R. Eastham

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 theoretically study the effect of the Berry curvature on the transport properties of Weyl semimetals in the nonadiabatic process, which results in nonlinear optical responses. In the adiabatic process, the Berry curvature, which involves…

Mesoscale and Nanoscale Physics · Physics 2017-06-28 Hiroaki Ishizuka , Tomoya Hayata , Masahito Ueda , Naoto Nagaosa

The ordinary Hall effect refers to generation of a transverse voltage upon exertion of an electric field in the presence of an out-of-plane magnetic field. While a linear Hall effect is commonly observed in systems with breaking…

Mesoscale and Nanoscale Physics · Physics 2023-07-03 Young-Gwan Choi , Manh-Ha Doan , Youngkuk Kim , Gyung-Min Choi

Weyl points are isolated degeneracies in reciprocal space that are monopoles of the Berry curvature. This topological charge makes them inherently robust to Hermitian perturbations of the system. However, non-Hermitian effects, usually…

We study the second-order nonlinear optical response of a Weyl semimetal (WSM), i.e. a three-dimensional metal with linear band touchings acting as point-like sources of Berry curvature in momentum space, termed "Weyl-Berry monopoles". We…

Materials Science · Physics 2018-05-29 Habib Rostami , Marco Polini

In Weyl semi-metals, the conduction and valence bands intersect at distinct points on the Brillouin zone (Weyl points), which act as monopoles of Berry curvature in momentum space. This nontrivial band topology, identified from electronic…

Materials Science · Physics 2025-03-28 Tamal Kumar Dalui , Hari Paudyal , Durga Paudyal , Ramesh C Budhani

The propagation of light in Weyl semimetal films is analyzed. The magnetic family of these materials is known by anomalous Hall effect, which, being enhanced by the large Berry curvature, allows one to create strong gyrotropic and…

Mesoscale and Nanoscale Physics · Physics 2019-01-21 O. V. Kotov , Yu. E. Lozovik

We study the ac Hall response induced by passage of dc transport current in two- and three-dimensional metals with gyrotropic point groups -- the gyrotropic Hall effect -- and consider the phenomenon of current-induced optical activity in…

Mesoscale and Nanoscale Physics · Physics 2019-04-09 E. J. König , M. Dzero , A. Levchenko , D. A. Pesin

We present a theory of an optically induced valley polarization in an interacting, time-reversal symmetric Weyl semimetal placed under strong magnetic fields. Because the application of a magnetic field reduces the symmetry of the crystal,…

Mesoscale and Nanoscale Physics · Physics 2019-08-14 Simon Bertrand , Jean-Michel Parent , René Côté , Ion Garate

Weyl semimetals are three-dimensional, topologically protected, gapless phases which show exotic phenomena such as Fermi arc surface states or negative magnetoresistance. It is an open question whether interparticle interactions can turn…

Strongly Correlated Electrons · Physics 2021-03-24 Bernhard Irsigler , Tobias Grass , Jun-Hui Zheng , Mathieu Barbier , Walter Hofstetter

The recent discovery of the quantum nonlinear Hall effect has revived the field of nonlinear transport. Here, we predict magnetic field-induced nonlinear Hall effect in time-reversal symmetric Weyl semimetal. We show that the interplay of…

Mesoscale and Nanoscale Physics · Physics 2022-12-13 Debottam Mandal , Kamal Das , Amit Agarwal

The anomalous Nernst effect is the thermoelectric counterpart of the anomalous Hall effect, which can emerge in magnetic materials or topological materials without magnetic field. Such effect is critical to both fundamental topological…

Materials Science · Physics 2025-07-22 Zipu Fan , Jinying Yang , Yuchun Chen , Ning Zhao , Xiao Zhuo , Chang Xu , Dehong Yang , Jun Zhou , Jinluo Cheng , Enke Liu , Dong Sun

The discovery of topological quantum materials represents a striking innovation in modern condensed matter physics with remarkable fundamental and technological implications. Their classification has been recently extended to topological…

The quest for nonmagnetic Weyl semimetals with high tunability of phase has remained a demanding challenge. As the symmetry breaking control parameter, the ferroelectric order can be steered to turn on/off the Weyl semimetals phase, adjust…

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

Periodic laser driving, known as Floquet engineering, is a powerful tool to manipulate the properties of quantum materials. Using circularly polarized light, artificial magnetic fields, called Berry curvature, can be created in the…

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