Unconventional Hall response in the quantum limit of HfTe5

Galeski, Stanislaw; Zhang, Xiangyang; Wawrzyńczak, Rafał; Meng, Tobias; Förster, Tobias; Lozano, Pedro; Honnali, S.; Lamba, N.; Ehmcke, T.; Μάρκου, Αναστάσιος; Li., Q.; Gu, Genda; Zhu, Wenliang; Wosnitza, J.; Felser, Claudia; Chen, G. F.; Gooth, Johannes

doi:10.1038/s41467-020-19773-y

Cited by 43 publications

(45 citation statements)

References 46 publications

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“…In canonical 2D QHE systems, an empirical observation is that these are connected via 22 , 23 , where is a dimensionless parameter of the order of 0.01–0.05, which relates to the local electron concentration fluctuations 24 , 25 . Similar relation was found in ZrTe and HfTe 11 , 12 . As shown in Fig.…”

Section: Discussionsupporting

confidence: 84%

“…Indeed, plateau-like features have been observed in the Hall response at the lowest Landau level of the 3D Dirac semimetals ZrTe 10 , 12 and HfTe 11 . In these materials, the Hall conductivity scales with , where for magnetic field applied along z , , with being the Fermi wave vector component in the direction of B 10 , 12 .…”

Section: Introductionmentioning

confidence: 99%

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Quasi-quantized Hall response in bulk InAs

Wawrzyńczak

Galeski

Noky

et al. 2022

Sci Rep

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The quasi-quantized Hall effect (QQHE) is the three-dimensional (3D) counterpart of the integer quantum Hall effect (QHE), exhibited only by two-dimensional (2D) electron systems. It has recently been observed in layered materials, consisting of stacks of weakly coupled 2D platelets that are yet characterized by a 3D anisotropic Fermi surface. However, it is predicted that the quasi-quantized 3D version of the 2D QHE should occur in a much broader class of bulk materials, regardless of the underlying crystal structure. Here, we compare the observation of quasi-quantized plateau-like features in the Hall conductivity of the n-type bulk semiconductor InAs with the predictions for the 3D QQHE in presence of parabolic electron bands. InAs takes form of a cubic crystal without any low-dimensional substructure. The onset of the plateau-like feature in the Hall conductivity scales with $$\sqrt{2/3}k_{\text {F}}^{z}/\pi$$ 2 / 3 k F z / π in units of the conductance quantum and is accompanied by a Shubnikov–de Haas minimum in the longitudinal resistivity, consistent wit the results of calculations. This confirms the suggestion that the 3D QQHE may be a generic effect directly observable in materials with small Fermi surfaces, placed in sufficiently strong magnetic fields.

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Section: Discussionsupporting

confidence: 84%

Section: Introductionmentioning

confidence: 99%

Quasi-quantized Hall response in bulk InAs

Wawrzyńczak

Galeski

Noky

et al. 2022

Sci Rep

Self Cite

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“…The model that we developed is easily generalizable to materials, whose electronic low-energy physics are dominated by small Fermi surface pockets, such as HfTe 5 [14] or InAs [44]. Future work can furthermore extend our analysis in a number of directions.…”

Section: Discussionmentioning

confidence: 98%

“…The three-dimensional (3D) compound zirconium pentatelluride (ZrTe 5 ) has been extensively studied due to its large negative magnetoresistivity [1,2], thermoelectric properties [3][4][5] and because it possibly exhibits a variety of topological phases, including weak and strong topological insulator and Dirac semimetal phases [6][7][8][9][10]. A focus of recent discussions has been the observation of plateau-like features in the transverse resistivity accompanied by minima in the longitudinal resistivity both in ZrTe 5 [11][12][13] and the structurally similar HfTe 5 [14,15]. These plateau-like features have been proposed to be linked to the formation of a periodic modulation of electron density, a charge-density wave (CDW), and to a truly quantized Hall effect in three dimensions.…”

Section: Introductionmentioning

confidence: 99%

Propagation of longitudinal acoustic phonons in ZrTe$_{\boldsymbol{5}}$ exposed to a quantizing magnetic field

Ehmcke,

Galeski,

Gorbunov

et al. 2021

Preprint

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The compound ZrTe5 has recently been connected to a charge-density-wave (CDW) state with intriguing transport properties. Here, we investigate quantum oscillations in ultrasound measurements that microscopically originate from electron-phonon coupling and analyze how these would be affected by the presence or absence of a CDW. We calculate the phonon self-energy due to electronphonon coupling, and from there deduce the sound-velocity renormalization and sound attenuation. We find that the theoretical predictions for a metallic Dirac model resemble the experimental data on a quantitative level for magnetic fields up to the quantum-limit regime.

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“…The bulk quantum Hall effect has already been realized in quasi-2D systems [84][85][86] . Interestingly, the recent experiments are not restricted to 2D systems only, ZrTe 5 , HfTe 5 , and Cd 3 As 2 are examples of 3D systems that exhibit a quantum Hall effect [87][88][89][90] . Apart from the external magnetic field induced quantum Hall effect, the non-linear Hall effect, mediated by BCD, has been experimentally observed in the bilayer non-magnetic quantum material WTe 2 91 , in a few layers of WTe 2 92 , and in type-II WSM at room temperature 93 .…”

Section: Discussionmentioning

confidence: 99%

Distinct signatures of particle-hole symmetry breaking in transport coefficients for generic multi-Weyl semimetals

Nag,

Kennes

2022

Preprint

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We propose and study generic multi-Weyl semimetal (mWSM) lattice Hamiltonians that break particle-hole symmetry. These models fall into two categories: model I (model II) where the gap and tilt terms are coupled (decoupled) can host type-I and type-II Weyl nodes simultaneously (separately) in a hybrid phase (type-I and type-II phases, respectively). We concentrate on the question of how anisotropy and non-linearity in the dispersions, gaps and tilt terms influence diffusive second order transport quantities namely, the circular photogalvanic effect (CPGE) and the Berry curvature dipole (BCD) as well as first order Magnus Hall effect (MHE) in the ballistic limit. The signatures of topological charges are clearly imprinted in the quantized CPGE response for the hybrid mWSM phase in model I. Such a quantization is also found in the type-I WSM phase for model II, however, the frequency profiles of the CPGE in these two cases is distinctively different owing to their different band dispersion irrespective of the identical topological properties. The contributions from the vicinity of Weyl nodes and away from the WNs are clearly manifested in the BCD response, respectively, for model I model II. The Fermi surface properties for the activated momentum lead to a few hallmark features on the MHE for both the models. Furthermore, we identify distinguishing signatures of the above responses for type-I, type-II and hybrid phases to provide an experimentally viable probe to differentiate these WSMs phases.

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Unconventional Hall response in the quantum limit of HfTe5

Cited by 43 publications

References 46 publications

Quasi-quantized Hall response in bulk InAs

Quasi-quantized Hall response in bulk InAs

Propagation of longitudinal acoustic phonons in ZrTe$_{\boldsymbol{5}}$ exposed to a quantizing magnetic field

Distinct signatures of particle-hole symmetry breaking in transport coefficients for generic multi-Weyl semimetals

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