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We theoretically investigate a nonlinear spin Hall effect in $\mathcal{PT}$-symmetric antiferromagnetic metals, which serve as an efficient spin current generator. We elucidate that an emergent spin-dependent Berry curvature dipole is a…

Mesoscale and Nanoscale Physics · Physics 2022-09-23 Satoru Hayami , Megumi Yatsushiro , Hiroaki Kusunose

Optical excitation provides a powerful tool to investigate non-equilibrium physics in quantum Hall systems. Moreover, the length scale associated with photo-excited charge carries lies between that of local probes and global transport…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Olivier Gazzano , Bin Cao , Jiuning Hu , Tobias Huber , Tobias Grass , Michael Gullans , David Newell , Mohammad Hafezi , Glenn S. Solomon

The topology between Bloch states in reciprocal space has attracted tremendous attention in recent years. The quantum geometry of the band structure is composed of quantum metric as real part and berry curvature as imaginary part. While the…

Materials Science · Physics 2023-12-12 Junjian Mi , Jialin Li , Miaocong Li , Sheng Xu , Shuang Yu , Zheng Li , Xinyi Fan , Huanfeng Zhu , Qian Tao , Linjun Li , Zhuan Xu

Recently, the semiclassical theory of the anomalous Hall effect induced by the Berry curvature in Bloch bands has been introduced. The theory operates only with gauge invariant concepts, that have a simple semiclassical interpretation and…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 N. A. Sinitsyn

Non-collinear triangular antiferromagnets with a coplanar spin arrangement and vanishing net magnetic moment can exhibit a large anomalous Hall effect owing to their non-vanishing momentum space Berry curvature. Here we show the existence…

Strongly Correlated Electrons · Physics 2019-05-15 Pradeep K. Rout , P. V. Prakash Madduri , Subhendu K. Manna , Ajaya K. Nayak

The Berry curvature (BC) - a quantity encoding the geometric properties of the electronic wavefunctions in a solid - is at the heart of different Hall-like transport phenomena, including the anomalous Hall and the non-linear Hall and Nernst…

Mesoscale and Nanoscale Physics · Physics 2023-03-03 Maria Teresa Mercaldo , Canio Noce , Andrea D. Caviglia , Mario Cuoco , Carmine Ortix

A kinetic theory can be modified to incorporate triangle anomalies and the chiral magnetic effect by taking into account the Berry curvature flux through the Fermi surface. We show how such a kinetic theory can be derived from underlying…

High Energy Physics - Theory · Physics 2013-05-01 Dam Thanh Son , Naoki Yamamoto

We consider soft-core bosons with onsite interaction loaded in the honeycomb lattice with different site energies for the two sublattices. Using both a mean-field approach and quantum Monte-Carlo simulations, we show that the topology of…

Quantum Gases · Physics 2015-10-28 Yun Li , Pinaki Sengupta , George G. Batrouni , Christian Miniatura , Benoît Grémaud

We introduce the intrinsic nonlinear planar thermal Hall effect (NPTHE)-- a dissipationless thermal response proportional to $(\nabla T)^2B$, which arises when the temperature gradient $\nabla T$ and magnetic field $\mathbf{B}$ lie within…

Materials Science · Physics 2025-11-21 Chanchal K. Barman

The Berry curvature and quantum metric are the imaginary part and real part, respectively, of the quantum geometric tensor which characterizes the topology of quantum states. The former is known to generate a zoo of important discoveries…

Quantum geometry and topology are fundamental concepts of modern condensed matter physics, underpinning phenomena ranging from the quantum Hall effect to protected surface states. The Berry curvature, a central element of this framework, is…

Mesoscale and Nanoscale Physics · Physics 2025-05-14 Giancarlo Soavi , Jan Wilhelm

We propose a pair of the complex Berry curvatures associated with the non-Hermitian Hamiltonian and its Hermitian adjoint to reveal new physics in non-Hermitian systems. We give the complex Berry curvature and Berry phase for the…

Quantum Physics · Physics 2021-01-05 Annan Fan , Guang-Yao Huang , Shi-Dong Liang

In this paper, we study the Berry curvature induced linear and nonlinear magnon transport in bilayer van der Waals antiferromagnets, where we deduce forms for the spin and energy currents within the semiclassical Boltzmann formalism under…

Mesoscale and Nanoscale Physics · Physics 2023-08-10 Rohit Mukherjee , Sonu Verma , Arijit Kundu

The circular photogalvanic effect (CPGE) is the photocurrent generated in an optically active material in response to an applied ac electric field, and it changes sign depending on the chirality of the incident circularly polarized light.…

Strongly Correlated Electrons · Physics 2020-06-03 Ipsita Mandal

The effect of an AC perturbation on the shot noise of a fractional quantum Hall fluid is studied both in the weak and the strong backscattering regimes. It is known that the zero-frequency current is linear in the bias voltage, while the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. Crepieux , P. Devillard , T. Martin

We theoretically predict the existence of a non-zero magnetochiral anisotropy-induced nonlinear Hall effect or a second harmonic Hall voltage transverse to an applied current in spin-orbit coupled Rashba conductors in the presence of an…

Mesoscale and Nanoscale Physics · Physics 2023-09-25 D. C. Marinescu , Sumanta Tewari

Recently, signatures of nonlinear Hall effects induced by Berry-curvature dipoles have been found in atomically thin 1T'/Td-WTe$_2$. In this work, we show that in strained polar transition-metal dichalcogenides(TMDs) with 2H-structures,…

Mesoscale and Nanoscale Physics · Physics 2020-02-24 Benjamin T. Zhou , Cheng-Ping Zhang , K. T. Law

Noncentrosymmetric superconductors are expected to exhibit DC photocurrents even for irradiation frequencies below the superconducting gap. Such superconducting photocurrent are non-dissipative and track the quantum geometry of the…

Superconductivity · Physics 2025-07-10 Oles Matsyshyn , Justin C. W. Song

Strong Coulomb interaction in monolayer semiconductors allows them to host optically active large many-body states, such as the five-particle state, charged biexciton. Strong nonlinear light absorption by the charged biexciton under…

Mesoscale and Nanoscale Physics · Physics 2022-05-23 Sarthak Das , Garima Gupta , Suman Chatterjee , Kenji Watanabe , Takashi Taniguchi , Kausik Majumdar

We demonstrate robust and reversible electric-current control of the anomalous Hall effect (AHE) in a two-dimensional WTe2/Fe3GeTe2 (FGT) stack. Applying a current through Td-WTe2 leads to a giant modulation of the AHE of the adjacent FGT…