3D Quantum Hall Effect of Fermi Arcs in Topological Semimetals

Wang, C. M.; Sun, Hai-Peng; Lu, Hai-Zhou; Xie, X. C.

doi:10.1103/physrevlett.119.136806

Cited by 184 publications

(147 citation statements)

References 90 publications

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“…The unusual SFAs and their interplay with bulk Weyl fermions can result in many exotic physical phenomena, such as anomalous SFA-mediated quantum oscillations [6][7][8][9] (Fig. 1b), the realization of chiral magnetic effects (e.g., the chiral anomaly [10][11][12][13] and the universal quantized contribution of SFAs in magneto-electric transport 14 ), 3D quantum Hall effect 15 , novel quasiparticle interference in tunnelling spectroscopy [16][17][18][19] , intriguing non-local voltage generation ( Fig. 1c) and unusual electromagnetic wave transmission [20][21][22][23] (Fig.…”

Section: Introductionmentioning

confidence: 99%

Topological Lifshitz transitions and Fermi arc manipulation in Weyl semimetal NbAs

Yang

Liu

et al. 2019

Nat Commun

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Surface Fermi arcs (SFAs), the unique open Fermi-surfaces (FSs) discovered recently in topological Weyl semimetals (TWSs), are unlike closed FSs in conventional materials and can give rise to many exotic phenomena, such as anomalous SFA-mediated quantum oscillations, chiral magnetic effects, three-dimensional quantum Hall effect, non-local voltage generation and anomalous electromagnetic wave transmission. Here, by using in-situ surface decoration, we demonstrate successful manipulation of the shape, size and even the connections of SFAs in a model TWS, NbAs, and observe their evolution that leads to an unusual topological Lifshitz transition not caused by the change of the carrier concentration. The phase transition teleports the SFAs between different parts of the surface Brillouin zone. Despite the dramatic surface evolution, the existence of SFAs is robust and each SFA remains tied to a pair of Weyl points of opposite chirality, as dictated by the bulk topology.

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Section: Introductionmentioning

confidence: 99%

Topological Lifshitz transitions and Fermi arc manipulation in Weyl semimetal NbAs

Yang

Liu

et al. 2019

Nat Commun

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“…Physically, such zero contribution can be attributed to the open Fermi arc in single conducting channel. Similar mechanism is also addressed in [67], where the open Fermi arc at a single surface of a WSM cannot host the quantum Hall effect. Even so, the Fermi arc also mediates the RKKY interaction significantly by the interference with the bulk states, characterized by a product of bulk-state and surface-state Green's functions.…”

Section: Influence Of the Fermi Arc On The Rkky Interactionmentioning

confidence: 74%

Indirect magnetic interaction mediated by Fermi arc and boundary reflection near Weyl semimetal surface

Duan

Zheng

et al. 2018

New J. Phys.

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We theoretically investigate the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between magnetic impurities distributed in the vicinity of the surface of a Weyl semimetal. Contrary to previous studies, we further take into account the influence of interplay of the Fermi arc and bulk states, and interface refection. It is shown that the RKKY pattern is significantly mediated by the Fermi-arc surface state along with the interface reflection. The Fermi-arc surface state mediates the RKKY interaction by interfering with the bulk states. The resulting interference contribution in the short-range impurity distance R is comparable in magnitude to the bulk-band contribution and even dominates the latter near the surface. It either enhances or weakens the bulk contribution, depending on the relative orientation of impurities and Fermi energy. More importantly, for the long-range impurity distance the interference term dominates in that it can prolong the decay rate from the original bulk R −5 -law to R −2 (R −3 ) for finite (zero) Fermi energy. The interface reflection not only enhances the magnitude of the RKKY interaction and changes its anisotropy from the original XXZ to XYZ or Ising spin model, but also generates extra twisted RKKY terms parallel to the line connecting Weyl nodes, lacked in the scenario without the interface effect. They originate from the interaction between the impurity and the mirror image of the other impurity. We further analyze in detail the spatial anisotropy of the decay rate and beating pattern. These findings provide a deeper insight into surface magnetic interaction mediated by Weyl fermions.anomaly [25,[30][31][32], negative magnetoresistance [33][34][35], and untraditional superconductivity [36,37]. Another remarkable topological property of WSMs is the existence of topologically protected surface states. The surface states in k-space form Fermi arc, connecting the Weyl nodes projected to the surface Brillouin zone. Different from the gapless surface state of topological insulators, which inhabits within the bulk band gap and is depart from the bulk sates, the Fermi-arc surface states in WSMs are directly connected to the bulk states. Consequently, the surface properties of WSMs are contributed by both the bulk and surface states. To detect the Fermi arc, many literatures have focused on specific impurity scattering, such as quasiparticle interference (or Friedel oscillations) [38][39][40][41] and Kondo effect [42,43], and other interesting transport properties. However, the magnetic properties with respect to Fermi-arc states receive no attention.Introduction of magnetic impurities to Dirac materials opens up the possibility for their application potential in spintronics. Among magnetic impurities, the effective magnetic interaction mediated by the electrons of host material, namely the Ruderman-Kittel-Kasuya-Yoshida (RKKY) interaction [44], is crucial for magnetic ordering of the impurities. The nature of the RKKY interaction is determined by the dispersion and magnetic texture in h...

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“…Nonorthogonal electric and magnetic fields can pump Weyl fermions between Weyl nodes of opposite chiralities, and create a population imbalance between them. The relaxation of the chirality population imbalance contributes an extra electric current to the system, which results in a very unusual positive lon-gitudinal magnetoconductivity (LMC) [19][20][21]. While the positive LMC, as a condensed-matter manifestation of the chiral anomaly, was observed recently in Weyl semimetal TaAs [3,19].…”

mentioning

confidence: 98%

“…Topological semimetals are novel quantum states of matter, where the conduction and valence bands touch, near the Fermi level, at certain discrete momentum points or lines [1][2][3][4][5][6]. The gap-closing points or lines are protected either by crystalline symmetry or topological invariants [7][8][9]. A topological Dirac semimetal hosts stable gap-closing points called the Dirac points (DPs), which, in addition to the time-reversal (TR) and spatial-inversion (SI) symmetries, are protected by the crystalline symmetry.…”

mentioning

confidence: 99%

“…A topological Dirac semimetal hosts stable gap-closing points called the Dirac points (DPs), which, in addition to the time-reversal (TR) and spatial-inversion (SI) symmetries, are protected by the crystalline symmetry. By breaking the TR or SI symmetry, a single DP can split into a pair of Weyl nodes, leading to the topological transition from a Dirac to a Weyl semimetal [10][11][12][13][14][15]. The Weyl nodes always come in pairs with opposite chiralities in momentum space, protected by topological invariants associated with the Chern flux and connected by the nonclosed Fermi-arc surface states [16][17][18].…”

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confidence: 99%

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Positive longitudinal spin magnetoconductivity in Z2 topological Dirac semimetals

et al. 2019

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Recently, a class of Dirac semimetals, such as Na3Bi and Cd2As3, are discovered to carry Z2 monopole charges. We present an experimental mechanism to realize the Z2 anomaly in regard to the Z2 topological charges, and propose to probe it by magnetotransport measurement. In analogy to the chiral anomaly in a Weyl semimetal, the acceleration of electrons by a spin bias along the magnetic field can create a Z2 charge imbalance between the Dirac points, the relaxation of which contributes a measurable positive longitudinal spin magnetoconductivity (LSMC) to the system. The Z2 anomaly induced LSMC is a spin version of the longitudinal magnetoconductivity (LMC) due to the chiral anomaly, which possesses all characters of the chiral anomaly induced LMC. While the chiral anomaly in the topological Dirac semimetal is very sensitive to local magnetic impurities, the Z2 anomaly is found to be immune to local magnetic disorder. It is further demonstrated that the quadratic or linear field dependence of the positive LMC is not unique to the chiral anomaly. Base on this, we argue that the periodic-in-1/B quantum oscillations superposed on the positive LSMC can serve as a fingerprint of the Z2 anomaly in topological Dirac semimetals.

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3D Quantum Hall Effect of Fermi Arcs in Topological Semimetals

Cited by 184 publications

References 90 publications

Topological Lifshitz transitions and Fermi arc manipulation in Weyl semimetal NbAs

Topological Lifshitz transitions and Fermi arc manipulation in Weyl semimetal NbAs

Indirect magnetic interaction mediated by Fermi arc and boundary reflection near Weyl semimetal surface

Positive longitudinal spin magnetoconductivity in Z2 topological Dirac semimetals

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