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The third-order nonlinear Hall effect induced by Berry-connection polarizability tensor has been observed in Weyl semimetals T$_d$-MoTe$_2$ as well as T$_d$-TaIrTe$_4$. The experiments were performed on bulk samples, and the results were…

Mesoscale and Nanoscale Physics · Physics 2022-07-26 Miaomiao Wei , Longjun Xiang , Luyang Wang , Fuming Xu , Jian Wang

Van Hove singularities enhance many-body interactions and induce collective states of matter ranging from superconductivity to magnetism. In magic-angle twisted bilayer graphene, van Hove singularities appear at low energies and are…

Mesoscale and Nanoscale Physics · Physics 2024-08-19 Suvronil Datta , Saisab Bhowmik , Harsh Varshney , Kenji Watanabe , Takashi Taniguchi , Amit Agarwal , U. Chandni

Symmetry is a cornerstone of condensed matter physics, fundamentally shaping the behavior of electronic systems and inducing the emergence of novel phenomena. The Hall effect, a key concept in this field, demonstrates how symmetry breaking,…

Mesoscale and Nanoscale Physics · Physics 2025-04-29 Shuo Wang , Wei Niu , Yue-Wen Fang

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

Twisted bilayer graphene (tBLG) has recently emerged as a platform for hosting correlated phenomena, owing to the exceptionally flat band dispersion that results near interlayer twist angle $\theta\approx1.1^\circ$. At low temperature a…

Strongly Correlated Electrons · Physics 2019-10-03 H. Polshyn , M. Yankowitz , S. Chen , Y. Zhang , K. Watanabe , T. Taniguchi , C. R. Dean , A. F. Young

Recent measurements in several different laboratories report the observation of an approximately linear-in-temperature resistivity with a large twist-angle-dependent slope (or temperature coefficient) in moir\'e twisted bilayer graphene…

Mesoscale and Nanoscale Physics · Physics 2022-07-21 Sankar Das Sarma , Fengcheng Wu

Recently, the twist-angle effect on 2D van der Walls (vdW) materials, such as bilayer graphene, has attracted great attention. Many novel electronic, magnetic and even optical properties induced by such effect have been discovered. However,…

Mesoscale and Nanoscale Physics · Physics 2023-12-20 H. F. Feng , B. Liu , Zhi-Xin Guo

The recent observations of nonlinear Hall effect in time-reversal symmetry protected systems and on the surface of three-dimensional topological insulators due to an in-plane magnetic field have attracted immense experimental and…

Mesoscale and Nanoscale Physics · Physics 2021-12-01 Rajesh K. Malla , Avadh Saxena , Wilton J. M. Kort-Kamp

Topological effects arising from the Berry curvature lead to intriguing transport signatures in quantum materials. Two such phenomena are the chiral anomaly and nonlinear Hall effect (NLHE). A unified description of these transport regimes…

Materials Science · Physics 2026-03-25 Dhruv C. Desai , Lauren A. Tan , Jin-Jian Zhou , Shiyu Peng , Jinsoo Park , Marco Bernardi

We investigate the intrinsic nonlinear valley Nernst effect, which induces a transverse valley current via a second-order thermoelectric response to a longitudinal temperature gradient. The effect arises from the Berry connection…

Mesoscale and Nanoscale Physics · Physics 2026-01-01 Xue-Jin Zhang , Jin Cao , Lulu Xiong , Hui Wang , Shen Lai , Cong Xiao , Shengyuan A. Yang

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

The pursuit of emergent quantum phenomena lies at the forefront of modern condensed matter physics. A recent breakthrough in this arena is the discovery of the fractional quantum anomalous Hall effect (FQAHE) in twisted bilayer MoTe2…

The electronic wavefunctions in moir\'e materials are highly sensitive to the details of the local atomic configuration enabling Bloch band geometry and topology to be controlled by stacking and strain. Here we predict that large injection…

Mesoscale and Nanoscale Physics · Physics 2022-03-23 Arpit Arora , Jian Feng Kong , Justin C. W. Song

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 report the observation of a pronounced third-order nonlinear Hall effect (NLHE) in 1$T$-phase VSe$_2$ nanosheets, synthesized using chemical vapor deposition (CVD). The nanosheets exhibit a charge density wave (CDW) transition at…

Mesoscale and Nanoscale Physics · Physics 2025-01-28 Zhao-Hui Chen , Xin Liao , Jing-Wei Dong , Xing-Yu Liu , Tong-Yang Zhao , Dong Li , An-Qi Wang , Zhi-Min Liao

Second-order nonlinear optical responses, including photogalvanic effect (PGE) and second harmonic generation (SHG), are important physical phenomena in nonlinear optics. The PGE (SHG) related to linearly and circularly polarized light are…

Mesoscale and Nanoscale Physics · Physics 2023-06-01 Yuan Liu , Zhen-Gang Zhu , Gang Su

The second-order nonlinear electrical response (NLER) is an intrinsic property of inversion symmetry-broken systems which can provide deep insights into the electronic band structures of atomically thin quantum materials. However, the…

Mesoscale and Nanoscale Physics · Physics 2025-07-09 Tanweer Ahmed , Harsh Varshney , Bao Q. Tu , Kenji Watanabe , Takashi Taniguchi , Marco Gobbi , Fèlix Casanova , Amit Agarwal , Luis E. Hueso

Nonlinear Hall effect (NLHE) offers a novel means of uncovering symmetry and topological properties in quantum materials, holding promise for exotic (opto)electronic applications such as microwave rectification and THz detection. The…

Large intrinsic anomalous Hall effect (AHE) due to the Berry curvature in magnetic topological semimetals is attracting enormous interest due to its fundamental importance and technological relevance. Mechanisms resulting in large intrinsic…

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