Origin of planar Hall effect on the surface of topological insulators: Tilt of Dirac cone by an in-plane magnetic field

Zheng, Shi-Han; Duan, Hou-Jian; Wang, Jiakun; Li, Jia-Yu; Deng, Ming-Xun; Wang, Rui-Qiang

doi:10.1103/physrevb.101.041408

Cited by 56 publications

(27 citation statements)

References 48 publications

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“…This observation was attributed to the competition between orbital magnetoresistance in the bulk and anisotropic scattering of spin-polarized surface states. The latter produces positive C xx2 [19], but only when the sample is rotated in the plane of the magnetic field, due to some mechanisms, still under debate, involving scattering off magnetic impurities or band warping by the Zeeman effect [43]. To test for the possible influence of surface states, arising either from nontrivial topology or a surface reconstruction, we performed AMR measurements while rotating a sample out of the plane of the magnetic field [42].…”

Section: Discussionmentioning

confidence: 99%

Planar Hall effect with sixfold oscillations in a Dirac antiperovskite

Huang,

Nakamura,

Takagi

2021

Preprint

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The planar Hall effect (PHE), wherein a rotating magnetic field in the plane of a sample induces oscillating transverse voltage, has recently garnered attention in a wide range of topological metals and insulators. The observed twofold oscillations in ρyx as the magnetic field completes one rotation are the result of chiral, orbital and/or spin effects. The antiperovskites A3BO (A = Ca, Sr, Ba; B = Sn, Pb) are topological crystalline insulators whose low-energy excitations are described by a generalized Dirac equation for fermions with total angular momentum J = 3/2. We report unusual sixfold oscillations in the PHE of Sr3SnO, which persisted nearly up to room temperature. Multiple harmonics (twofold, fourfold and sixfold), which exhibited distinct field and temperature dependencies, were detected in ρxx and ρyx. These observations are more diverse than those in other Dirac and Weyl semimetals and point to a richer interplay of microscopic processes underlying the PHE in the antiperovskites.

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Section: Discussionmentioning

confidence: 99%

Planar Hall effect with sixfold oscillations in a Dirac antiperovskite

Huang,

Nakamura,

Takagi

2021

Preprint

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“…This term shifts the energy spectrum in the xy-plane of the k-space, but does not change the Fermi velocity and the backscattering. Recent theoretical investigations indicate, however, that an account of nonlinear momentum terms in the TI Hamiltonian leads to a tilt of the Dirac cone by in-plane magnetic fields 22 . The tilt of the cone may increase the electron backscattering and, thus, may contribute to the anomalous decay presented in this report.…”

Section: Discussion and Possible Mechanismsmentioning

confidence: 99%

Anomalous Decay of Quantum Resistance Oscillations of 2D Helical Electrons in Magnetic Field

Abedi

Vitkalov

Михайлов

et al. 2020

Sci Rep

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Shubnikov de Haas resistance oscillations of highly mobile two dimensional helical electrons propagating on a conducting surface of strained HgTe 3D topological insulator are studied in magnetic fields B tilted by angle θ from the normal to the conducting layer. Strong decrease of oscillation amplitude A is observed with the tilt: $${\boldsymbol{A}}\sim {\boldsymbol{e}}{\boldsymbol{x}}{\boldsymbol{p}}(\,-\,{\boldsymbol{\xi }}/{\boldsymbol{c}}{\boldsymbol{o}}{\boldsymbol{s}}({\boldsymbol{\theta }}))$$A∼exp(−ξ/cos(θ)), where ξ is a constant. Evolution of the oscillations with temperature T shows that the parameter $${\boldsymbol{\xi }}$$ξ contains two terms: $${\boldsymbol{\xi }}={{\boldsymbol{\xi }}}_{1}+{{\boldsymbol{\xi }}}_{2}{\boldsymbol{T}}$$ξ=ξ1+ξ2T. The temperature independent term, $${{\boldsymbol{\xi }}}_{{\bf{1}}}$$ξ1, signals possible reduction of electron mean free path $${l}_{q}$$lq and/or enhancement of in-homogeneous broadening of the oscillations in magnetic field B. The temperature dependent term, $${{\boldsymbol{\xi }}}_{{\bf{2}}}{\boldsymbol{T}}$$ξ2T, indicates increase of the reciprocal velocity of 2D helical electrons: $$\delta ({v}_{F}^{-1})\sim B$$δ(vF−1)∼B suggesting modification of the electron spectrum in magnetic fields. Results are found in good agreement with proposed phenomenological model.

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“…Bi This further emphasizes the need for in-depth experimental exploration and theoretical understanding of the PHE in thin films and heterostructures of Bi-based 3D TIs. For a detailed comprehensive discussion of the linear and nonlinear PHE in TIs, see [136][137][138].…”

Section: Details Of Materials and Substratesmentioning

confidence: 99%

Quantum Transport and Potential of Topological States for Thermoelectricity in Bi$_2$Te$_3$ Thin Films

Ngabonziza

2021

Preprint

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Although Bi 2 Te 3 has been used as a thermoelectric material for many years, it is only recently that thin films of this material have been synthesized as 3D topological insulators with interesting physics and potential applications related to topologically protected surface states. A major bottleneck in Bi 2 Te 3 thin films has been eliminating its bulk conductivity while increasing its crystal quality. The ability to grow epitaxial films with high crystal quality and to fabricate sophisticated Bi 2 Te 3 -based devices is attractive for implementing a variety of topological quantum devices and exploring the potential of topological states to improve thermoelectric properties. This paper reviews recent developments in quantum transport and investigates the contribution of topological insulator boundary states to thermoelectricity. It addresses special issues such as preparing low-defect-density Bi 2 Te 3 epitaxial films, gate-tuning of normal-state transport and Josephson supercurrent in topological insulator/superconductor hybrid devices. Prospective quantum transport experiments on Bi 2 Te 3 thin-film devices are discussed as well. Finally, an overview of current progress on the contribution of topological insulator boundary states to thermoelectricity is presented. Future explorations to reveal the potential of topological states for improving thermoelectric properties of Bi 2 Te 3 films and realizing high-performance thermoelectric devices are discussed.

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Origin of planar Hall effect on the surface of topological insulators: Tilt of Dirac cone by an in-plane magnetic field

Cited by 56 publications

References 48 publications

Planar Hall effect with sixfold oscillations in a Dirac antiperovskite

Planar Hall effect with sixfold oscillations in a Dirac antiperovskite

Anomalous Decay of Quantum Resistance Oscillations of 2D Helical Electrons in Magnetic Field

Quantum Transport and Potential of Topological States for Thermoelectricity in Bi$_2$Te$_3$ Thin Films

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