Negative longitudinal magnetoconductance at weak fields in Weyl semimetals

Knoll, Andy; Timm, Carsten; Meng, Tobias

doi:10.1103/physrevb.101.201402

Cited by 35 publications

(29 citation statements)

References 52 publications

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“…Therefore, the MR (∝ B 2 m 2 ) induced by the Berry curvature through the OMM effect in the massive nodalline semimetal is opposite in sign to that of the Weyl semimetal (in the absence of inter-node scattering) [18,24] and the topological insulator [63]. Note that the OMM induced deformation of the Fermi surface also introduces a positive correction to the MR in the Weyl semimetal [24], which is in agreement with our results.…”

Section: B Slight Fermi Torus Deformation and Positive Mrsupporting

confidence: 91%

“…The benefit of this scenario is that the relevant physical effects can be visibly revealed by the MR measurement. For example, it was shown recently that the coupling of the OMM to the magnetic field in the Weyl semimetal induces a deformation of the Fermi surface from a sphere to an egg shape [24]. As a result, the negative MR due to the chiral anomaly can even have the opposite sign as the inter-node scattering is taken into account simultaneously [24].…”

Section: Introductionmentioning

confidence: 99%

“…For example, it was shown recently that the coupling of the OMM to the magnetic field in the Weyl semimetal induces a deformation of the Fermi surface from a sphere to an egg shape [24]. As a result, the negative MR due to the chiral anomaly can even have the opposite sign as the inter-node scattering is taken into account simultaneously [24]. Besides the smooth deformation of the Fermi surface, topological Lifshitz transition of the Fermi surface is studied as well in various topological materials [25][26][27][28][29][30], which is driven by different methods such as the temperature.…”

Section: Introductionmentioning

confidence: 99%

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Sign reversal of magnetoresistivity in massive nodal-line semimetals due to Lifshitz transition of Fermi surface

Yang,

Geng,

Luo

et al. 2021

Preprint

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Topological nodal-line semimetals offer an interesting research platform to explore novel phenomena associated with its torus-shaped Fermi surface. Here, we study magnetotransport in the massive nodal-line semimetal with spin-orbit coupling and finite Berry curvature distribution which exists in many candidates. The magnetic field leads to a deformation of the Fermi torus through its coupling to the orbital magnetic moment, which turns out to be the main scenario of the magnetoresistivity (MR) induced by the Berry curvature effect. We show that a small deformation of the Fermi surface yields a positive MR ∝ B 2 , different from the negative MR by pure Berry curvature effect in other topological systems. As the magnetic field increases to a critical value, a topological Lifshitz transition of the Fermi surface can be induced, and the MR inverts its sign at the same time. The temperature dependence of the MR is investigated, which shows a totally different behavior before and after the Lifshitz transition. Our work uncovers a novel scenario of the MR induced solely by the deformation of the Fermi surface and establishes a relation between the Fermi surface topology and the sign of the MR.

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Section: B Slight Fermi Torus Deformation and Positive Mrsupporting

confidence: 91%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Sign reversal of magnetoresistivity in massive nodal-line semimetals due to Lifshitz transition of Fermi surface

Yang,

Geng,

Luo

et al. 2021

Preprint

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“…More rigorous approaches, developed in Refs. [50][51][52][53] and others, can be used to include the field dependence in the scattering time. This remains as a future direction for us to explore NL magneto-resistivity after including the electric field dependence of the scattering timescale, along with skew-scattering.…”

Section: Discussionmentioning

confidence: 99%

Berry curvature induced nonlinear magnetoresistivity in two dimensional systems

Lahiri,

Bhore,

Das

et al. 2021

Preprint

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We investigate the effect of band geometric quantities on nonlinear magnetoresistivity, which dictates the quadratic dependence of the nonlinear voltage generated by the applied current. We propose that the interplay of the Berry curvature, the orbital magnetic moment and the Lorentz force can induce a finite nonlinear resistivity in two dimensional systems in presence of a perpendicular magnetic field. The induced nonlinear magnetoresistivity scales linearly with the magnetic field and is purely quantum mechanical in origin. Our proposed novel transport signature can be used as an additional experimental probe for the geometric quantities in intrinsically time reversal symmetric systems.

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“…In the weak magnetic field regime, it was believed that the LMC is positive [57][58][59][60][61][62][63][64], however a recent study by Knoll et al (Ref. [65]) has now shown that unlike the earlier claims, the LMC can be negative for sufficiently strong intervalley scattering when orbital magnetic moment (OMM) effects are included. While Ref.…”

Section: Introductionmentioning

confidence: 94%

The sign of longitudinal magnetoconductivity and the planar Hall effect in Weyl semimetals

Sharma,

Nandy,

Tewari

2020

Preprint

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The manifestation of chiral anomaly in Weyl semimetals typically relies on the observation of longitudinal magnetoconductance (LMC) along with the planar Hall effect, with a specific magnetic field and angle dependence. Here we solve the Boltzmann equation in the semiclassical regime for a prototype of a Weyl semimetal, allowing for both intravalley and intervalley scattering, along with including effects from the orbital magnetic moment (OMM), in a geometry where the electric and magnetic fields are not necessarily parallel to each other. We construct the phase diagram in the relevant parameter space that describes the shift from positive to negative LMC in the presence of OMM and sufficiently strong intervalley scattering, as has been recently pointed out for only parallel electric and magnetic fields. On the other hand, we find that the chiral anomaly contribution to the planar Hall effect always remains positive (unlike the LMC) irrespective of the inclusion or exclusion of OMM, or the strength of the intervalley scattering. Our predictions can be directly tested in experiments, and may be employed as new diagnostic procedures to verify chiral anomaly in Weyl systems.

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Negative longitudinal magnetoconductance at weak fields in Weyl semimetals

Cited by 35 publications

References 52 publications

Sign reversal of magnetoresistivity in massive nodal-line semimetals due to Lifshitz transition of Fermi surface

Sign reversal of magnetoresistivity in massive nodal-line semimetals due to Lifshitz transition of Fermi surface

Berry curvature induced nonlinear magnetoresistivity in two dimensional systems

The sign of longitudinal magnetoconductivity and the planar Hall effect in Weyl semimetals

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