Emergent Weyl spinors in multi-fermion systems

Volovik, G. E.; Zubkov, M. A.

doi:10.1016/j.nuclphysb.2014.02.018

Cited by 74 publications

(96 citation statements)

References 44 publications

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“…For the type-I WSM, the conduction and valence bands intersect at several Weyl nodes and thus the Fermi surface is point-like and the spectra around the nodes are coniclike [2]. However, the spectra of the type-II WSM are tilted by rotating around the Weyl nodes and there will exist electron and hole pockets near the line-like Fermi surface with a large density of states [23][24][25]. Therefore, the type-II WSMs will show a lot of interesting properties, such as the anomalous Hall effect, chiral anomaly and other intriguing properties [26][27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Double Andreev reflections and double electron transmissions in a normal-superconductor-normal junction based on type-II Weyl semimetal

Zhang

Sun

et al. 2018

New J. Phys.

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We study the quantum transport behavior of a normal-superconductor-normal junction based on a type-II Weyl semimetal, which is arranged in the tilting direction of the Weyl semimetal. We find that both the crossed Andreev reflection and normal reflection are forbidden, while there will be double Andreev reflections and double electron transmissions for the incident electron from the semimetal side. Andreev reflections and transmissions occur both in the retro and specular directions simultaneously, symmetric about the normal of the interface but with different amplitudes, depending on the angle and energy of incident electrons. These transport processes make the junction here quite different from that based on the normal metal or graphene. In addition, the differential conductance is studied for experimental signatures. We find that the conductance is almost unaffected by the electrostatic potential in the normal region and it is enhanced with increasing junction length.

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Section: Introductionmentioning

confidence: 99%

Double Andreev reflections and double electron transmissions in a normal-superconductor-normal junction based on type-II Weyl semimetal

Zhang

Sun

et al. 2018

New J. Phys.

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“…Weyl fermions have been predicted in a variety of condensed matter systems [6][7][8][9][10][11] and were first experimentally realized in the transition metal monopnictides, where signatures of the bulk nodes and the surface Fermi arcs were detected by angle-resolved photo emission spectroscopy [12][13][14][15] . Shortly after their discovery, a new class of Weyl semimetals, called type-II Weyl semimetals, was predicted [16][17][18][19] and experimentally discovered [20][21][22][23] in the transition metal dichalcogenides MoTe 2 and WTe 2 .…”

Section: Introductionmentioning

confidence: 99%

Semiclassical theory of anomalous transport in type-II topological Weyl semimetals

2017

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Weyl semimetals possess low energy excitations which act as monopoles of Berry curvature in momentum space. These emergent monopoles are at the heart of the extensive novel transport properties that Weyl semimetals exhibit. The singular nature of the Berry curvature around the nodal points in Weyl semimetals allows for the possibility of large anomalous transport coefficients in zero applied magnetic field. Recently a new class, termed type-II Weyl semimetals, has been demonstrated in a variety of materials, where the Weyl nodes are tilted. We present here a study of anomalous transport in this new class of Weyl semimetals. We find that the parameter governing the tilt of these type-II Weyl points is intimately related to the zero field transverse transport properties. We also find that the temperature dependence of the chemical potential plays an important role in determining how the transport coefficients can effectively probe the Berry curvature of the type-II Weyl points. We also discuss the experimental implications of our work for time-reversal breaking type-II Weyl semimetals.

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“…The tilts of the Dirac cones have recently received theoretical attention. [23][24][25] Various transport properties of Weyl semimetals due to tilt were studied in Refs. [26,27].…”

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Magnetotransport of Weyl semimetals due to the chiral anomaly

Zyuzin

2017

Phys. Rev. B

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We study electric field and temperature gradient driven magnetoconductivity of a Weyl semimetal system. To analyze the responses, we utilize the kinetic equation with semiclassical equations of motion modified by the Berry curvature and orbital magnetization of the wave-packet. Apart from known positive quadratic magnetoconductivity, we show that due to chiral anomaly, the magnetconductivity can become non-analytic function of the magnetic field, proportional to 3/2 power of the magnetic field at finite temperatures. We also show that time-reversal symmetry breaking tilt of the Dirac cones results in linear magnetoconductivity. This is due to one-dimensional chiral anomaly the tilt is responsible for. PACS numbers:Introduction. Three dimensional Dirac and Weyl semimetals are materials whose band structure has a linearly touching conduction and valence bands, 1-4 the Dirac cones. Dirac semimetal is degenerate in electron's right and left chiralities, while the Weyl semimetal has the two chiralities split in energy or momentum. Inversion or time-reversal symmetries must be broken to obtain the splitting of chiralities in Dirac semimetal.Theoretically, the linear band touching introduces the non-trivial Berry 5 curvature in to the description of the fermion dynamics. The Berry curvature in this case is an effective magnetic field in k− space which is created by a magnetic monopole located at the band touching point. For a review on effects of Berry curvature on electronic properties see Ref. [6].Weyl semimetals with broken time-reversal symmetry are characterized by the anomalous Hall effect.4,7 Due to splitting of the Dirac cones, there are chiral edge states on the physical boundaries of the system.2,4 Apart from that there is the so-called chiral anomaly of the Dirac fermions -non-conservation of particles with a given chirality in presence of magnetic and electric fields.

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Emergent Weyl spinors in multi-fermion systems

Cited by 74 publications

References 44 publications

Double Andreev reflections and double electron transmissions in a normal-superconductor-normal junction based on type-II Weyl semimetal

Double Andreev reflections and double electron transmissions in a normal-superconductor-normal junction based on type-II Weyl semimetal

Semiclassical theory of anomalous transport in type-II topological Weyl semimetals

Magnetotransport of Weyl semimetals due to the chiral anomaly

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