Electrically switchable Berry curvature dipole in the monolayer topological insulator WTe₂ by Xu, Suyang, Ma, Qiong, Shen, Chase, Fatemi, Valla, Wu, Sanfeng, Chang, Tay-Rong, Chang, Guoqing, Mier Valdivia, Andrés M, Chan, Ching-Kit, Gibson, Quinn D., Watanabe, Kenji, Taniguchi, Takashi, Lin, Hsin, Cava, Robert J., Fu, Liang, Gedik, Nuh, Jarillo-Herrero, Pablo

“…Whereas the realization of the QSH has demonstrated the nontrivial topology of the electron wavefunctions of monolayer WTe₂, the geometrical properties of the wavefunction, such as the Berry curvature, remain unstudied. Here we utilize mid-infrared optoelectronic microscopy to investigate the Berry curvature in monolayer WTe₂. …”
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Electrically switchable Berry curvature dipole in the monolayer topological insulator WTe2 by Xu, Su-Yang, Ma, Qiong, Shen, Huitao, Fatemi, Valla, Wu, Sanfeng, Chang, Tay-Rong, Chang, Guoqing, Valdivia, Andrés M. Mier, Chan, Ching-Kit, Gibson, Quinn D., Zhou, Jiadong, Liu, Zheng, Watanabe, Kenji, Taniguchi, Takashi, Lin, Hsin, Cava, Robert J., Fu, Liang, Gedik, Nuh, Jarillo-Herrero, Pablo

“…Our observed photocurrent reveals a novel Berry curvature dipole that arises from the nontrivial wavefunctions near the inverted gap edge. …”
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Quantum Nonlinear Hall Effect Induced by Berry Curvature Dipole in Time-Reversal Invariant Materials by Fu, Liang, Sodemann Villadiego, Inti A.

“…This nonlinear Hall effect has a quantum origin arising from the dipole moment of the Berry curvature in momentum space, which generates a net anomalous velocity when the system is in a current-carrying state. …”
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Quantum frequency doubling in the topological insulator Bi2Se3 by He, Pan, Isobe, Hiroki, Zhu, Dapeng, Hsu, Chuang-Han, Fu, Liang, Yang, Hyunsoo

“…We introduce the Berry curvature triple, a high-order moment of the Berry curvature, to explain skew scattering under the threefold rotational symmetry. …”
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Layer Hall effect in a 2D topological axion antiferromagnet by Fu, Liang

“…This layer Hall effect uncovers an unusual layer-locked Berry curvature, which serves to characterize the axion insulator state. …”
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Layer Hall effect in a 2D topological axion antiferromagnet by Gao, Anyuan, Liu, Yu-Fei, Hu, Chaowei, Qiu, Jian-Xiang, Tzschaschel, Christian, Ghosh, Barun, Ho, Sheng-Chin, Bérubé, Damien, Chen, Rui, Sun, Haipeng, Zhang, Zhaowei, Zhang, Xin-Yue, Wang, Yu-Xuan, Wang, Naizhou, Huang, Zumeng, Felser, Claudia, Agarwal, Amit, Ding, Thomas, Tien, Hung-Ju, Akey, Austin, Gardener, Jules, Singh, Bahadur, Watanabe, Kenji, Taniguchi, Takashi, Burch, Kenneth S., Bell, David C., Zhou, Brian B., Gao, Weibo, Lu, Hai-Zhou, Bansil, Arun, Lin, Hsin, Chang, Tay-Rong, Fu, Liang, Ma, Qiong, Ni, Ni, Xu, Su-Yang

“…This layer Hall effect uncovers an unusual layer-locked Berry curvature, which serves to characterize the axion insulator state. …”
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Observation of the nonlinear Hall effect under time-reversal-symmetric conditions by Ma, Qiong, Xu, Su-Yang, Shen, Huitao, MacNeill, David, Fatemi, Valla, Chang, Tay-Rong, Mier Valdivia, Andrés M., Wu, Sanfeng, Du, Zongzheng, Hsu, Chuang-Han, Fang, Shiang, Gibson, Quinn D., Watanabe, Kenji, Taniguchi, Takashi, Cava, Robert J., Kaxiras, Efthimios, Lu, Hai-Zhou, Lin, Hsin, Fu, Liang, Gedik, Nuh, Jarillo-Herrero, Pablo

“…Our results demonstrate a new type of Hall effect and provide a way of detecting Berry curvature in non-magnetic quantum materials. © 2018, Springer Nature Limited.…”
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Magnus Hall Effect by Papaj, Michal, Fu, Liang

“…We show that in the ballistic limit the Magnus Hall conductance measures the distribution of the Berry curvature on the Fermi surface.…”
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Magic in twisted transition metal dichalcogenide bilayers by Devakul, Trithep, Crépel, Valentin, Zhang, Yang, Fu, Liang

“…The combination of flat dispersion and uniformity of Berry curvature near the magic angle holds promise for realizing fractional quantum anomalous Hall effect at fractional filling. …”
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de Haas-van Alphen effect of correlated Dirac states in kagome metal Fe3Sn2 by Ye, Linda, Chan, Mun K., McDonald, Ross D., Graf, David, Kang, Min Gu, Liu, Junwei, Suzuki, Takehito, Comin, Riccardo, Fu, Liang, Checkelsky, Joseph George

“…Combined with measurements of Berry curvature induced Hall conductivity, our observations suggest that the ferromagnetic Dirac fermions in Fe3Sn2 are subject to intrinsic spin-orbit coupling in the d electron sector which is likely of Kane-Mele type. …”
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Quantum Transport in Topological Phases of Matter by Papaj, Michal

“…First, I introduce a novel type of Hall effect, called Magnus Hall effect, that allows one to probe Berry curvature in ballistic, time-reversal invariant systems that break inversion symmetry. …”
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Numerical Study of Quantum Hall Bilayers at Total Filling by Zhu, Zheng, Fu, Liang, Sheng, D. N.

“…The transition from the exciton superfluid to the intermediate phase is identified by (i) a dramatic change in the Berry curvature of the ground state under twisted boundary conditions on the two layers and (ii) an energy level crossing of the first excited state. …”
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Magic in twisted transition metal dichalcogenide bilayers by Devakul, Trithep, Crépel, Valentin, Zhang, Yang, Fu, Liang

“…The combination of flat dispersion and uniformity of Berry curvature near the magic angle holds promise for realizing fractional quantum anomalous Hall effect at fractional filling. …”
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