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We construct a top-down holographic model of Weyl semimetal states using $(3+1)$-dimensional $\mathcal{N}=4$ supersymmetric $SU(N_c)$ Yang-Mills theory, at large $N_c$ and strong coupling, coupled to a number $N_f \ll N_c$ of…

High Energy Physics - Theory · Physics 2021-05-31 Kazem Bitaghsir Fadafan , Andy O'Bannon , Ronnie Rodgers , Matthew Russell

Weyl semimetals may open a new era in condensed matter physics because they provide the first example of Weyl fermions, realize a new topological classification even though the system is gapless, exhibit Fermi arc surface states and…

We extend the study of fermionic particle-hole symmetric semi-Dirac (alternatively, semi-Weyo) dispersion of quasiparticles, $\varepsilon_K = \pm \sqrt{(k_x^2/2m)^2 + (vk_y)^2)} = \pm \varepsilon_0 \sqrt{K_x^4 + K_y^2}$ in dimensionless…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Swapnonil Banerjee , Warren E. Pickett

Weyl fermions are shown to exist inside a parabolic band, where the kinetic energy of carriers is given by the non-relativistic Schroedinger equation. There are Fermi arcs as a direct consequence of the folding of a ring shaped Fermi…

Superconductivity · Physics 2017-10-11 Mauro M. Doria , Andrea Perali

Magnetic topological materials have recently drawn significant importance and interest, due to their topologically nontrivial electronic structure within spontaneous magnetic moments and band inversion. Based on first-principles…

Strongly Correlated Electrons · Physics 2018-07-20 R. Wang , Y. J. Jin , J. Z. Zhao , Z. J. Chen , Y. J. Zhao , H. Xu

As they do not rely on the presence of any crystal symmetry, Weyl nodes are robust topological features of an electronic structure that can occur at any momentum and energy. Acting as sinks and sources of Berry curvature, Weyl nodes have…

A heterostructure consisting of a magnetic Weyl semimetal and a conventional superconductor exhibits an equilibrium current parallel to the superconductor interface and perpendicular to the magnetization. Analyzing a minimal model, which as…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Kevin A. Madsen , Piet W. Brouwer , Maxim Breitkreiz

We investigate magnetotransport across an interface between two Weyl semimetals whose Weyl nodes project onto different interface momenta. Such an interface generically hosts Fermi arcs that connect Weyl nodes of identical chirality in…

Mesoscale and Nanoscale Physics · Physics 2023-08-10 Adam Yanis Chaou , Vatsal Dwivedi , Maxim Breitkreiz

We propose a realization of the Weyl semimetal phase that is invariant under time reversal and occurs due to broken inversion symmetry. We consider both a simple superlattice model and a more realistic tight-binding model describing an…

Mesoscale and Nanoscale Physics · Physics 2012-02-28 Gábor B. Halász , Leon Balents

We reconsider the problem of the anomalous Hall effect in ferromagnetic SrRuO$_3$, incorporating insights from the recently developed theory of Weyl semimetals. We demonstrate that SrRuO$_3$ possesses a large number of Weyl nodes, separated…

Mesoscale and Nanoscale Physics · Physics 2013-09-11 Y. Chen , D. L. Bergman , A. A. Burkov

We present a physical scenario in which both Fermi arcs and two-dimensional gapless Dirac states coexist as boundary modes at the same two-dimensional surface. This situation is realized in topological insulator-Weyl semimetal interfaces in…

Mesoscale and Nanoscale Physics · Physics 2015-04-29 Adolfo G. Grushin , Jörn W. F. Venderbos , Jens H. Bardarson

An axion insulator is a correlated topological phase, predicted to arise from the formation of a charge density wave in a Weyl semimetal. The accompanying sliding mode in the charge density wave phase, the phason, is an axion. It is…

We show that Weyl semimetals with broken time-reversal symmetry can host chiral electromag- netic waves. The magnetization that results in a momentum space separation of a pair of opposite chirality Weyl nodes is also responsible for the…

Mesoscale and Nanoscale Physics · Physics 2016-01-05 A. A. Zyuzin , V. A. Zyuzin

Double-Weyl fermions, as novel topological states of matter, have been mostly discussed in nonmagnetic materials. Here, based on density-functional theory and symmetry analysis, we propose the realization of fully spin-polarized double-Weyl…

Materials Science · Physics 2020-11-30 Lei Jin , Xiaoming Zhang , Ying Liu , Xuefang Dai , Liying Wang , Guodong Liu

A developing frontier in condensed matter physics is the emergence of novel electromagnetic responses, such as topological and anomalous Hall effect (AHE), in ferromagnetic Weyl semimetals (FM-WSMs). Candidates of FM-WSM are limited to…

Fermi arcs are one of the characteristic features of Weyl semimetals, appearing as surface states that connect Weyl points with opposite chiralities. It has also been suggested that Fermi arcs can emerge in the bulk due to the interplay…

Mesoscale and Nanoscale Physics · Physics 2025-05-22 Yuta Furusho , Tomonari Meguro , Kentaro Nomura

Chiral anomaly induced negative magnetoresistance (NMR) has been widely used as a critical transport evidence on the existence of Weyl fermions in topological semimetals. In this mini review, we discuss the general observation of the NMR…

Materials Science · Physics 2018-10-02 Yupeng Li , Zhen Wang , Pengshan Li , Xiaojun Yang , Zhixuan Shen , Feng Sheng , Xiaodong Li , Yunhao Lu , Yi Zheng , Zhu-An Xu

The Fermi arcs are signatures of exotic states in solids because they defy conventional concept of Fermi surfaces as closed contours in momentum space. Fermi arcs were first discovered in cuprates, and caused by the pseudogap. Weyl…

Weyl semimetals are gapless three-dimensional topological materials where two bands touch at even number of points in the Brillouin zone. In this work we study a zincblende lattice model realizing a time-reversal invariant Weyl semimetal.…

Mesoscale and Nanoscale Physics · Physics 2013-07-10 Teemu Ojanen

The coexistence of topological states with different dimensionalities in a single crystalline system offers a unique platform to study the interplay of distinct fermionic excitations. Here, integrating first-principles calculations with…

Materials Science · Physics 2026-04-16 Xiao-Jing Gao , Yanfeng Ge , Yan Gao
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