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We study the quantum nonlinear Hall effect in two-dimensional materials with time-reversal symmetry. When only one mirror line exists, a transverse charge current occurs in second-order response to an external electric field, as a result of…

Mesoscale and Nanoscale Physics · Physics 2018-10-03 Jhih-Shih You , Shiang Fang , Su-Yang Xu , Efthimios Kaxiras , Tony Low

Ferroelectricity, the electrostatic counterpart to ferromagnetism, has long been thought to be incompatible with metallicity due to screening of electric dipoles and external electric fields by itinerant charges. Recent measurements,…

SrTiO3 is an incipient ferroelectric that is believed to exhibit a prototype displacive, soft mode ferroelectric transition when subjected to mechanical stress or alloying. We use high-angle annular dark-field imaging in scanning…

Materials Science · Physics 2020-08-25 Salva Salmani-Rezaie , Kaveh Ahadi , William M. Strickland , Susanne Stemmer

The nonlinear Hall effect (NLHE) connects crystalline symmetry to quantum geometry, offering a probe of band topology beyond linear transport. While most studies have focused on the Berry curvature dipole in low-symmetry crystals,…

Mesoscale and Nanoscale Physics · Physics 2026-05-01 Heda Zhang , Nikolai Peshcherenko , Ning Mao , Nianlong Zou , Jiaqiang Yan , Claudia Felser , Yang Zhang

LiOsO$_3$ is the first experimentally confirmed polar metal with ferroelectric-like distortion. One puzzling experimental fact is its paramagnetic state down to very low temperature with negligible magnetic moment, which is anomalous…

Materials Science · Physics 2018-11-20 Y. Zhang , J. J. Gong , C. F. Li , L. Lin , Z. B. Yan , Shuai Dong , J. -M. Liu

The study of electronic properties in topological systems is one of the most fascinating topics in condensed matter physics, which has generated enormous interests in recent times. New materials are frequently being proposed and…

Materials Science · Physics 2018-08-22 Ratnadwip Singha , Shubhankar Roy , Arnab Pariari , Biswarup Satpati , Prabhat Mandal

The identification of distinct charge transport features, deriving from nontrivial bulk band and surface states, has been a challenging subject in the field of topological systems. In topological Dirac and Weyl semimetals, nontrivial…

This review presents recent breakthroughs in the realm of nonlinear Hall effects, emphasizing central theoretical foundations and recent experimental progress. We elucidate the quantum origin of the second-order Hall response, focusing on…

Mesoscale and Nanoscale Physics · Physics 2024-05-21 Arka Bandyopadhyay , Nesta Benno Joseph , Awadhesh Narayan

Over 50 years ago, Anderson and Blount proposed that ferroelectric-like structural phase transitions may occur in metals, despite the expected screening of the Coulomb interactions that often drive polar transitions. Recently, theoretical…

Strongly Correlated Electrons · Physics 2019-07-25 N. J. Laurita , A. Ron , J. Shan , D. Puggioni , N. Z. Koocher , K. Yamaura , Y. Shi , J. M. Rondinelli , D. Hsieh

Metallic LiOsO$_3$ undergoes a continuous ferroelectric-like structural phase transition below $T_c$ = 140 K to realize a polar metal. To understand the microscopic interactions that drive this transition, we study its critical behavior…

Strongly Correlated Electrons · Physics 2020-08-04 Jun-Yi Shan , A. de la Torre , N. J. Laurita , L. Zhao , C. D. Dashwood , D. Puggioni , C. X. Wang , K. Yamaura , Y. Shi , J. M. Rondinelli , D. Hsieh

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

Ferroelectric materials are a class of dielectrics that exhibit spontaneous polarization which can be reversed under an external electric field. The emergence of ferroelectric order in incipient ferroelectrics is a topic of considerable…

Materials Science · Physics 2025-10-31 Yu Zhu , Luigi Ranalli , Taikang Chen , Wei Ren , Cesare Franchini

We study the electrical behavior of multiferroic BiFeO$_3$ by means of first-principles calculations. We do so by constraining a specific component of the electric displacement field along a variety of structural paths, and by monitoring…

Materials Science · Physics 2016-01-20 Massimiliano Stengel , Jorge Íñiguez

Berry phase and Berry curvature play a key role in the development of topology in physics and do contribute to the transport properties in solid state systems. In this paper, we report the finding of novel nonzero Hall effect in topological…

Mesoscale and Nanoscale Physics · Physics 2020-12-22 Jun Ge , Da Ma , Yanzhao Liu , Huichao Wang , Yanan Li , Jiawei Luo , Tianchuang Luo , Ying Xing , Jiaqiang Yan , David Mandrus , Haiwen Liu , X. C. Xie , Jian Wang

We examine the electronic properties of newly discovered "ferroelectric" metal LiOsO$_3$ combining density-functional and dynamical mean-field theories. We show that the material is close to a Mott transition and that electronic…

Materials Science · Physics 2015-08-26 Danilo Puggioni , Gianluca Giovannetti , Massimo Capone , James M. Rondinelli

Polar metals are rare because free carriers in metals screen electrostatic potential and eliminate internal dipoles. Degenerate doped ferroelectrics may create an approximate polar metallic phase. We use first-principles calculations to…

Computational Physics · Physics 2019-06-03 Chengliang Xia , Yue Chen , Hanghui Chen

Oxide materials exhibit several novel structural, magnetic, and electronic properties. Their stability under ambient conditions, easy synthesis, and high transition temperatures provide such systems with an ideal ground for realizing…

Semiconductor transistors are essential elements of electronic circuits as they enable, for example, the isolation or amplification of voltage signals. While conventional transistors are point-type (lumped-element) devices, it may be highly…

Mesoscale and Nanoscale Physics · Physics 2023-03-01 Tatiana G. Rappoport , Tiago A. Morgado , Sylvain Lannebère , Mário G. Silveirinha

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

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