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As novel topological phases in correlated electron systems, we have found two examples of non-ferromagnetic states that exhibit a large anomalous Hall effect. One is the chiral spin liquid compound Pr$_{2}$Ir$_{2}$O$_{7}$, which exhibits a…

Strongly Correlated Electrons · Physics 2017-08-09 S. Nakatsuji , T. Higo , M. Ikhlas , T. Tomita , Z. Tian

Chirality represents a kind of symmetry breaking characterized by the noncoincidence of an object with its mirror image and has been attracting intense attention in a broad range of scientific areas. The recent realization of spin-orbit…

Quantum Gases · Physics 2018-07-27 Wei Han , Xiao-Fei Zhang , Deng-Shan Wang , Hai-Feng Jiang , Wei Zhang , Shou-Gang Zhang

Hall effects have been employed as sensitive detectors of magnetic fields and magnetizations. In spintronics, exotic phenomena often emerge from a non-equilibrium spin polarization or magnetization, that is very difficult to measure…

Mesoscale and Nanoscale Physics · Physics 2016-08-04 Dazhi Hou , Z. Qiu , R. Iguchi , K. Sato , K. Uchida , G. E. W. Bauer , E. Saitoh

Under pressure, the itinerant helimagnet MnSi displays unusual magnetic properties. We have previously discussed a BCC helical spin crystal as a promising starting point for describing the high pressure phenomenology. This state has…

Strongly Correlated Electrons · Physics 2008-03-03 B. Binz , A. Vishwanath

The anomalous Hall effect in disordered band ferromagnets is considered in the framework of quantum transport theory. A microscopic model of electrons in a random potential of identical impurities including spin-orbit coupling is used. The…

Disordered Systems and Neural Networks · Physics 2009-11-11 P. Woelfle , K. A. Muttalib

The chiral anomaly is based on a non-conserved chiral charge and can happen in Dirac fermion systems under the influence of external electromagnetic fields. In this case, the spectral flow leads to a transfer of right- to left-moving…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Christoph Fleckenstein , Niccolò Traverso Ziani , Björn Trauzettel

Motivated by a recent experiment[Nature {\bf 442}, 176 (2006)], we present a quantitative microscopic theory to investigate the inverse spin-Hall effect with spin injection into aluminum considering both intrinsic and extrinsic spin-orbit…

Materials Science · Physics 2009-11-11 S. Y. Liu , Norman J. M. Horing , X. L. Lei

The quantum anomalous Hall effect refers to the quantization of Hall effect in the absence of applied magnetic field. The quantum anomalous Hall effect is of topological nature and well suited for field-free resistance metrology and…

Mesoscale and Nanoscale Physics · Physics 2022-09-21 Hang Chi , Jagadeesh S. Moodera

Recent reports of spin-orbit coupling enhancement in chemically modified graphene have opened doors to studies of the spin Hall effect with massless chiral fermions. Here, we theoretically investigate the interaction and impurity density…

Mesoscale and Nanoscale Physics · Physics 2016-11-15 Mirco Milletari , Aires Ferreira

Spin Hall effects are a collection of relativistic spin-orbit coupling phenomena in which electrical currents can generate transverse spin currents and vice versa. Although first observed only a decade ago, these effects are already…

Materials Science · Physics 2014-11-13 Jairo Sinova , Sergio O. Valenzuela , J. Wunderlich , C. H. Back , T. Jungwirth

The anomalous Hall effect has had a profound influence on the understanding of many electronic topological materials but is much less studied in their bosonic counterparts. We predict that an intrinsic anomalous Hall effect exists in a…

Quantum Gases · Physics 2022-10-31 Guan-Hua Huang , Zhi-Fang Xu , Zhigang Wu

The electrical Hall effect can be significantly enhanced through the interplay of the conduction electrons with magnetism, which is known as the anomalous Hall effect (AHE). Whereas the mechanism related to band topology has been…

We predict robust Ising ferromagnetism driven by Coulomb interaction in the metallic phase of twisted transition metal dichalcogenides homobilayers for a range of small twist angles. Due to the presence of spin-valley locking and Chern…

Strongly Correlated Electrons · Physics 2023-05-24 Valentin Crépel , Liang Fu

In condensed matter physics, a broad spectrum of physical characteristics, such as chirality, axiality, and polarity, arises as a direct consequence of the underlying symmetry of the system. We here theoretically investigate the effective…

Strongly Correlated Electrons · Physics 2025-11-12 Satoru Hayami , Rikuto Oiwa , Akane Inda

Chiral superconductors exhibit novel transport properties that depend on the topology of the order parameter, topology of the Fermi surface, the spectrum of bulk and edge Fermionic excitations, and the structure of the impurity potential.…

Superconductivity · Physics 2020-04-15 Vudtiwat Ngampruetikorn , J. A. Sauls

We theoretically investigate the anomalous Hall effect in a system of dense-packed ferromagnetic grains in the metallic regime. Using the formalism recently developed for the conventional Hall effect in granular metals, we calculate the…

Mesoscale and Nanoscale Physics · Physics 2012-07-10 Hendrik Meier , Maxim Yu. Kharitonov , Konstantin B. Efetov

Parallel electric and magnetic fields applied to Weyl semimetals pump axial charge via the axial anomaly until balanced by intervalley relaxation. The resulting nonequilibrium steady state exhibits the chiral magnetic effect as well as the…

Mesoscale and Nanoscale Physics · Physics 2023-03-01 Yusuke Nishida

We observe and model spin currents arising from chirality and effective spin-exchange interactions in a weakly interacting $^6$Li Fermi gas. Chirality is introduced by a static displacement between the center of the trapped atoms and the…

Quantum Gases · Physics 2026-03-24 Camen A. Royse , J. E. Thomas

Taking the non-collinear antiferromagnetic hexagonal Heusler compound Mn$_3$Ge as a reference system, the contributions to linear response phenomena arising solely from the chiral coplanar and non-coplanar spin configurations are…

Materials Science · Physics 2021-01-27 Sebastian Wimmer , Sergiy Mankovsky , Hubert Ebert

The emergence of chiral anomaly entails various fascinating phenomena such as anomalous quantum Hall effect and chiral magnetic effect in different branches of (non-)Hermitian physics. While in the single-particle picture, anomalous…

Mesoscale and Nanoscale Physics · Physics 2024-02-19 Sharareh Sayyad