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Weyl semimetals have nodes in their electronic structure at which electrons attain a definite chirality. Due to the chiral anomaly, the non-conservation of charges with given chirality, the axion term appears in their effective…

超导电性 · 物理学 2024-03-07 Vira Shyta , Jeroen van den Brink , Flavio S. Nogueira

Weyl semimetals realize massless relativistic fermions with two Weyl nodes separated in energy and momentum space, whose low-energy physics is described by Dirac fermions with an axial gauge constant. Here, we study their electromagnetic…

介观与纳米尺度物理 · 物理学 2023-01-10 Tatsuya Amitani , Yusuke Nishida

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…

To fully clarify the invariance of the classical Liouville field theory under the Virasoro algebra, we first elucidate in detail the concept of classical anomaly, discuss the occurrence of two symmetry algebras associated to this problem,…

高能物理 - 理论 · 物理学 2024-01-17 Pavel Haman , Alfredo Iorio

Weyl fermions in an external magnetic field exhibit the chiral anomaly, a non-conservation of chiral fermions. In a Weyl semimetal, a spatially inhomogeneous Weyl node separation causes similar effect by creating an intrinsic…

介观与纳米尺度物理 · 物理学 2018-02-05 Dmitry I. Pikulin , Roni Ilan

We demonstrate that in an ideal Weyl semimetal, in which the Fermi energy coincides with the band-touching nodes, weak direct inter-nodal scattering is irrelevant and, as a result, the chiral charge is (almost) exactly conserved. This leads…

介观与纳米尺度物理 · 物理学 2025-12-25 A. A. Burkov

The nodal points in a Weyl semimetal are generally considered as the causes of the chiral anomaly and the chiral magnetic effect (CME). Employing a linear-response analysis of a two-band lattice model, we show that the Weyl nodes and thus…

介观与纳米尺度物理 · 物理学 2015-11-10 Ming-Che Chang , Min-Fong Yang

Chiral magnetic effect is a quantum phenomenon that is breaking of chiral symmetry of relativistic Weyl fermions by quantum fluctuation under paralleled electric field E and magnetic field B. Intuitively, Weyl fermions with different…

材料科学 · 物理学 2018-05-28 Yang-Yang Lv , Xiao Li , Bin Pang , Y. B. Chen , Shu-Hua Yao , Jian Zhou , Yan-Feng Chen

Recently it is found that Weyl anomaly leads to new anomalous currents in an external electromagnetic field in the curved spacetime. For simplicity, the initial works mainly focus on weak gravitational fields and the anomalous current is…

高能物理 - 理论 · 物理学 2019-08-20 Jiang-Jin Zheng , Dongqi Li , Yu-Qian Zeng , Rong-Xin Miao

We show that under the effect of an external electric field and a gradient of chemical potential, a topological electric current can be induced in Weyl semimetals without inversion and mirror symmetries. We derive analytic expressions for…

介观与纳米尺度物理 · 物理学 2021-02-03 R. Flores-Calderón , A. Martín-Ruiz

We consider the chiral anomaly for systems with a wide class of Hermitian Dirac operators ${Q}$ in 4D Euclidean spacetime. We suppose that $ Q$ is not necessarily linear in derivatives and also that it contains a coordinate inhomogeneity…

高能物理 - 理论 · 物理学 2025-11-26 Praveen D. Xavier , M. A. Zubkov

The chiral anomaly underlies a broad number of phenomena, from enhanced electronic transport in topological metals to anomalous currents in the quark-gluon plasma. The discovery of topological states of matter in non-Hermitian systems --…

介观与纳米尺度物理 · 物理学 2022-10-20 Sharareh Sayyad , Julia D. Hannukainen , Adolfo G. Grushin

We theoretically study the quantum anomalies in the superconducting Weyl metals based on the topological field theory. It is demonstrated that the Fermi arc and the surface Andreev bound state, characteristic of the superconducting Weyl…

超导电性 · 物理学 2016-06-01 Rui Wang , Lei Hao , Baigeng Wang , C. S. Ting

The chiral anomaly in Weyl semimetals states that the left- and right-handed Weyl fermions, constituting the low energy description, are not individually conserved, resulting, for example, in a negative magnetoresistance in such materials.…

介观与纳米尺度物理 · 物理学 2018-04-09 Jan Behrends , Jens H. Bardarson

The discovery of Weyl fermions in transition metal monoarsenides/phosphides without inversion symmetry represents an exceptional breakthrough in modern condensed matter physics. However, exploring the inherent nature of these quasiparticles…

Very recently, novel quasiparticles beyond those mimicking the elementary high-energy particles such as Dirac and Weyl fermions have attracted great interest in condensed matter physics and materials science1-9. Here we report the first…

介观与纳米尺度物理 · 物理学 2020-06-24 Hailong He , Chunyin Qiu , Xiangxi Cai , Meng Xiao , Manzhu Ke , Fan Zhang , Zhengyou Liu

The emergent Weyl modes with the broken time-reversal symmetry or inversion symmetry provide large Berry curvature and chirality to carriers, offering the realistic platforms to explore topology of electrons in three-dimensional systems.…

介观与纳米尺度物理 · 物理学 2025-12-10 Jingyuan Zhong , Jianfeng Wang , Ming Yang , Jie Liu , Zhizhen Ren , Anping Huang , Zhixiang Shi , Zengwei Zhu , Yan Shi , Weichang Hao , Jincheng Zhuang , Yi Du

An important aspect of Weyl anomalies is that they encode information on the irreversibility of the renormalisation group flow. We consider, $\Delta \bar b = \bar{b}^{\textrm{UV}} - \bar{b}^{\textrm{IR}}$, the difference of the ultraviolet…

高能物理 - 理论 · 物理学 2017-08-23 Vladimir Prochazka , Roman Zwicky

The chiral anomaly, a hallmark of chiral spin-1/2 Weyl fermions, is an imbalance between left- and right-moving particles that underpins both high and low energy phenomena, including particle decay and negative longitudinal…

介观与纳米尺度物理 · 物理学 2024-08-07 F. Balduini , A. Molinari , L. Rocchino , V. Hasse , C. Felser , M. Sousa , C. Zota , H. Schmid , A. G. Grushin , B. Gotsmann

Weyl semimetals are a unique class of topological materials, possessing Fermi-arc surface states and exhibiting the chiral anomaly effect. The chiral anomaly refers to non-equilibrium charge transfer within a Weyl-node pair of opposite…