Recent Progress in the Study of Topological Semimetals

Bernevig, Andrei; Weng, Hongming; Fang, Zhong; Dai, Xi

doi:10.7566/jpsj.87.041001

Cited by 159 publications

(129 citation statements)

References 124 publications

Supporting

Mentioning

129

Contrasting

Order By: Relevance

“…In reality, the electron Hamiltonian for a topological semimetal is even simpler than that given by Eqs. (1), (2) [75,76] since for the Dirac point to be stable, an additional crystalline symmetry (other than the time-reversal and inversion symmetries) is necessary [77]; see, e.g., the electron spectrum of Na 3 Bi below.…”

Section: A Spectrum Without Magnetic Fieldmentioning

confidence: 99%

“…Thus, there is no topological transition with changing ζ in the caseã 2 > 1. The most general k · p HamiltonianĤ for the conduction and valence electron bands in the vicinity of a Weyl point has the form:Ĥ = (ε d + a · p)σ 0 + (a · p)σ z + (v (1) · p)σ x + (v (2) · p)σ y .…”

Section: A Spectrum Without Magnetic Fieldmentioning

confidence: 99%

“…In the case of Hamiltonian (1), (2), the appropriate electron spectrum in the magnetic field H was obtained at an arbitrary direction of H and at any value of the parameterã 2 many years ago [80]. The derived formulas immediately describe the electron spectrum in the magnetic field near the Dirac points.…”

Section: B Spectrum In the Magnetic Fieldmentioning

confidence: 99%

See 2 more Smart Citations

Magnetic Susceptibility of Topological Semimetals

Mikitik

Sharlaı̆

2019

J Low Temp Phys

View full text Add to dashboard Cite

We give a review of theoretical and experimental results concerning the magnetic susceptibility of the Weyl, Dirac, and nodal-line semimetals. In particular, dependences of the susceptibility on the chemical potential, temperature, and magnitude of the magnetic field are discussed. The presented results show that the specific features of the magnetic susceptibility can serve as a hallmark of the topological semimetals, and hence magnetic measurements can be useful in investigating these materials.

show abstract

Section: A Spectrum Without Magnetic Fieldmentioning

confidence: 99%

Section: A Spectrum Without Magnetic Fieldmentioning

confidence: 99%

See 1 more Smart Citation

Magnetic Susceptibility of Topological Semimetals

Mikitik

Sharlaı̆

2019

J Low Temp Phys

View full text Add to dashboard Cite

show abstract

“…This new family of materials hosts a wide range of quantum quasiparticles like e.g Dirac, Weyl and Majorana fermions [5]. Material classes such as topological insulators (TI) [6,7], topological crystalline insulators (TCI) [8][9][10], topological superconductors (TSC) [10,11], Weyl semimetals (WSM) [12,13] and Dirac semimetals (DSM) [12,14,15] defined by their band topology are expected to play a major role in quantum technology. The quantization of the Hall conductance observed in a 2-dimensional electron gas (2DEG) [16] challenged the time honoured Landau paradigm [17] for ordered states of matter classified according to spontaneously broken symmetries [4].…”

Section: Introductionmentioning

confidence: 99%

Ferromagnetic phase transition in topological crystalline insulator thin films: Interplay of anomalous Hall angle and magnetic anisotropy

et al. 2019

View full text Add to dashboard Cite

In magnetic topological phases of matter, the quantum anomalous Hall (QAH) effect is an emergent phenomenon driven by ferromagnetic doping, magnetic proximity effects and strain engineering. The realization of QAH states with multiple dissipationless edge and surface conduction channels defined by a Chern number C ≥ 1 was foreseen for the ferromagnetically ordered SnTe class of topological crystalline insulators (TCIs). From magnetotransport measurements on Sn1−xMnxTe (0.00 ≤ x ≤ 0.08)(111) epitaxial thin films grown by molecular beam epitaxy on BaF2 substrates, hole mediated ferromagnetism is observed in samples with x ≥ 0.06 and the highest Tc ∼ 7.5 K is inferred from an anomalous Hall behavior in Sn0.92Mn0.08Te. The sizable anomalous Hall angle ∼0.3 obtained for Sn0.92Mn0.08Te is one of the greatest reported for magnetic topological materials. The ferromagnetic ordering with perpendicular magnetic anisotropy, complemented by the inception of anomalous Hall effect in the Sn1−xMnxTe layers for a thickness commensurate with the decay length of the top and bottom surface states, points at Sn1−xMnxTe as a preferential platform for the realization of QAH states in ferromagnetic TCIs. arXiv:1907.05716v1 [cond-mat.mes-hall]

show abstract

“…The predicted strain-induced Weyl semimetal phase can be conveniently examined by magnetotransport measurements. Established common transport evidence [7,53,54] of a Weyl state includes the non-trivial Berry phase, which can be obtained from quantum oscillation [53], the planar Hall effect (PHE) [55][56][57], and the negative magnetoresistance (MR) induced by the chiral anomaly [56,[58][59][60]. In topological materials, the non-trivial band topology gives rise to a non-trivial Berry phase, which shifts the phase of quantum oscillations.…”

Section: Discussion: Experimental Examination Of the Weyl State In Stmentioning

confidence: 99%

Growth and Strain Engineering of Trigonal Te for Topological Quantum Phases in Non-Symmorphic Chiral Crystals

et al. 2019

View full text Add to dashboard Cite

Strained trigonal Te has been predicted to host Weyl nodes supported by a nonsymmorphic chiral symmetry. Using low-pressure physical vapor deposition, we systematically explored the growth of trigonal Te nanowires with naturally occurring strain caused by curvature of the wires. Raman spectra and high mobility electronic transport attest to the highly crystalline nature of the wires. Comparison of Raman spectra for both straight and curved nanowires indicates a breathing mode that is significantly broader and shifted in frequency for the curved wires. Strain induced by curvature during growth therefore may provide a simple pathway to investigate topological phases in trigonal Te.

show abstract

Recent Progress in the Study of Topological Semimetals

Cited by 159 publications

References 124 publications

Magnetic Susceptibility of Topological Semimetals

Magnetic Susceptibility of Topological Semimetals

Ferromagnetic phase transition in topological crystalline insulator thin films: Interplay of anomalous Hall angle and magnetic anisotropy

Growth and Strain Engineering of Trigonal Te for Topological Quantum Phases in Non-Symmorphic Chiral Crystals

Contact Info

Product

Resources

About