Giant spontaneous Hall effect in a nonmagnetic Weyl-Kondo semimetal

Dzsaber, Sami; Yan, Xinlin; Taupin, Mathieu; Eguchi, Gaku; Prokofiev, Andrey; Shiroka, Toni; Blaha, Peter; Rubel, Oleg; Grefe, Sarah E.; Lai, Hsin-Hua; Si, Qimiao; Paschen, Silke

doi:10.48550/arxiv.1811.02819

Cited by 16 publications

(29 citation statements)

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“…Three-dimensional Weyl semimetals have been clearly identified in the weakly correlated semiconductors with broken inversion symmetry [18,19] TaAs, NbAs, TaP, and NbP [18,20,21,22,23,24]. There are also signatures of strongly correlated Kondo-Weyl semimetals [25,26] in Ce 3 Bi 4 Pd 3 [27] and YbPtBi [28]. On the other hand, the observation of Weyl semimetals that break time-reversal symmetry are much more rare with Mn 3 Sn [29] being one example despite there being a number of proposed candidate materials with the pyrochlore iridates R 2 Ir 2 O 7 being a prominent example [30,31,32].…”

Section: Introductionmentioning

confidence: 98%

Rare-Region-Induced Avoided Quantum Criticality in Disordered Three-Dimensional Dirac and Weyl Semimetals

2016

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We numerically study the effect of short-ranged potential disorder on massless noninteracting threedimensional Dirac and Weyl fermions, with a focus on the question of the proposed (and extensively theoretically studied) quantum critical point separating semimetal and diffusive-metal phases. We determine the properties of the eigenstates of the disordered Dirac Hamiltonian (H) and exactly calculate the density of states (DOS) near zero energy, using a combination of Lanczos on H 2 and the kernel polynomial method on H. We establish the existence of two distinct types of low-energy eigenstates contributing to the disordered density of states in the weak-disorder semimetal regime. These are (i) typical eigenstates that are well described by linearly dispersing perturbatively dressed Dirac states and (ii) nonperturbative rare eigenstates that are weakly dispersive and quasilocalized in the real-space regions with the largest (and rarest) local random potential. Using twisted boundary conditions, we are able to systematically find and study these two (essentially independent) types of eigenstates. We find that the Dirac states contribute low-energy peaks in the finite-size DOS that arise from the clean eigenstates which shift and broaden in the presence of disorder. On the other hand, we establish that the rare quasilocalized eigenstates contribute a nonzero background DOS which is only weakly energy dependent near zero energy and is exponentially small at weak disorder. We also find that the expected semimetal to diffusive-metal quantum critical point is converted to an avoided quantum criticality that is "rounded out" by nonperturbative effects, with no signs of any singular behavior in the DOS at the energy of the clean Dirac point. However, the crossover effects of the avoided (or hidden) criticality manifest themselves in a so-called quantum critical fan region away from the Dirac energy. We discuss the implications of our results for disordered Dirac and Weyl semimetals, and reconcile the large body of existing numerical work showing quantum criticality with the existence of these nonperturbative effects.

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Section: Introductionmentioning

confidence: 98%

Rare-Region-Induced Avoided Quantum Criticality in Disordered Three-Dimensional Dirac and Weyl Semimetals

2016

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“…This indicates that the dc nonlinear Hall signal σ N xy has one-fold angular dependence. This dc Hall signal can exist in the presence of time-reversal symmetry, which has been observed in the nonmagnetic Weyl-Kondo semimetal Ce 3 Bi 4 Pd 3 [26].…”

Section: Disorder-induced Nonlinear Hall Conductivity Of 2d Tilted Ma...mentioning

confidence: 71%

“…(10) shows that the linear scaling behaviour with σ 2 xx may become invalid in the high-conductivity regime [19,27]. In the nonmagnetic Weyl-Kondo semimetal Ce 3 Bi 4 Pd 3 , a linear scaling behavior of σ N xy is observed as a function of σ xx [26]. The scaling law of voltages in Eq.…”

Section: Scaling Law Of Nonlinear Hall Effectmentioning

confidence: 98%

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Disorder-induced nonlinear Hall effect with time-reversal symmetry

Du,

Wang,

et al. 2018

Preprint

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“…B is allowed by symmetry in noncentrosymmetric crystals and surfaces having certain point groups (see below). For example, in materials with a polar axis, large B has been found due to the presence of titled Dirac or Weyl points in the band structure [4,[25][26][27][28][29][30][31][32]. When B is nonzero and in the presence of an applied electric field, the imbalance in the probability of occupation f (k) = f (−k) leads to a net Berry curvature, which then induces a second-order anomalous current in the transverse direction.…”

mentioning

confidence: 99%

Terahertz detection based on nonlinear Hall effect without magnetic field

Zhang,

2021

Preprint

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We propose a method for broadband long-wavelength photodetection using the nonlinear Hall effect in non-centrosymmetric quantum materials. The inherently quadratic relation between transverse current and input voltage at zero magnetic field is used to rectify the incident terahertz or infrared electric field into a direct current, without invoking any diode. Our photodetector operates at zero external bias with fast response speed and has zero threshold voltage. Remarkably, the intrinsic current responsivity due to Berry curvature mechanism is a material property independent of the incident frequency or the scattering rate, which can be evaluated from first-principles electronic structure calculations. We identify the Weyl semimetal NbP for terahertz photodection with large current responsivity reaching ∼ 1A/W without external bias.

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Giant spontaneous Hall effect in a nonmagnetic Weyl-Kondo semimetal

Cited by 16 publications

References 0 publications

Rare-Region-Induced Avoided Quantum Criticality in Disordered Three-Dimensional Dirac and Weyl Semimetals

Rare-Region-Induced Avoided Quantum Criticality in Disordered Three-Dimensional Dirac and Weyl Semimetals

Disorder-induced nonlinear Hall effect with time-reversal symmetry

Terahertz detection based on nonlinear Hall effect without magnetic field

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