Collapse of Landau levels in Weyl semimetals

Arjona, Vicente; Castro, Eduardo V.; Vozmediano, María A. H.

doi:10.1103/physrevb.96.081110

Cited by 51 publications

(55 citation statements)

References 46 publications

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“…At this critical field, the energies of consecutive Landau levels coincide. A similar effect was predicted for a pseudo magneticfield [39], where a collapse of its pseudo-Landau levels occurs due to the presence of a pseudoelectric field, at an analogous critical value |E 5 | = v F |B 5 |. This prediction, valid in the low energy limit, is consistent with an independent boost in the two Weyl nodes and further solidifies the analogy between the pseudo-and real fields.…”

Section: Pseudo-electric Fieldssupporting

confidence: 79%

“…2). Other band structure parameters, such as the Fermi velocity, will also be modified as a result of such deformations (see [37][38][39] and Box 1). Alternatively, a strain field is also induced by lattice defects.…”

Section: Physical Origin Of Pseudo-fieldsmentioning

confidence: 99%

“…When pseudo-electric and pseudo-magnetic fields coexist, Ref. [39] predicted a strain induced pseudo-Landau level collapse. It generalizes the Landau level collapse that occurs when perpendicular electric and magnetic fields are present, and satisfy |E| = v F |B|, such that a boost to reference frame where E = 0 yields B = 0.…”

Section: Pseudo-electric Fieldsmentioning

confidence: 99%

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Pseudo-electromagnetic fields in 3D topological semimetals

2019

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Dirac and Weyl semimetals, materials where electrons behave as relativistic fermions, react to position-and time-dependent perturbations, such as strain, as if emergent electromagnetic fields were applied. Since they differ from external electromagnetic fields in their symmetries and phenomenology they are called pseudo-electromagnetic fields, and enable a simple and unified description of a variety of inhomogeneous systems involving topological semimetals. We review the different physical ways to create effective pseudo-fields, their observable consequences as well as their similarities and differences compared to electromagnetic fields. Among these difference is their effect on quantum anomalies, the absence of a classical symmetry in the quantum theory, which we revisit from a quantum field theory and a semiclassical viewpoint. We conclude with predicted observable signatures of the pseudo-fields and the nascent experimental status. * All authors contributed equally to the preparation of this review arXiv:1903.11088v1 [cond-mat.mes-hall]

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Section: Pseudo-electric Fieldssupporting

confidence: 79%

Section: Physical Origin Of Pseudo-fieldsmentioning

confidence: 99%

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Pseudo-electromagnetic fields in 3D topological semimetals

2019

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“…This regularization allows to save the topological invariance of the regularized Eq. (9). The integral dω e iωτ iω−En entering Eq.…”

Section: B Equilibrium Current As Topological Invariant For the Gappmentioning

confidence: 99%

Note on the Bloch theorem

Zhang

Zubkov

2019

Phys. Rev. D

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Bloch theorem in ordinary quantum mechanics means the absence of the total electric current in equilibrium. In the present paper we analyze the possibility that this theorem remains valid within quantum field theory relevant for the description of both high energy physics and condensed matter physics phenomena. First of all, we prove that the total electric current in equilibrium is the topological invariant for the gapped fermions that are subject to periodical boundary conditions, i.e. it is robust to the smooth modification of such systems. This property remains valid when the inter -fermion interactions due to the exchange by bosonic excitations are taken into account perturbatively. We give the proof of this statement to all orders in perturbation theory. Thus we prove the weak version of the Bloch theorem, and conclude that the total current vanishes in any system, which is obtained by smooth modification of the one with the gapped charged fermions and periodical boundary conditions, if in the latter the total electric current vanishes. We analyse several examples, in which the fermions are gapless. In some of them the total electric current vanishes. At the same time we propose the counterexamples of the equilibrium gapless systems, in which the total electric current is nonzero.PACS numbers:

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“…Moreover, time-dependent mechanical deformations due to, e.g., acoustic waves create a related pseudoelectric field [12]. The concomitant presence of pseudoelectric and pseudomagnetic fields can also lead to a pseudo-Landau level collapse [13], which generalizes the Landau level collapse that occurs when perpendicular ordinary electric and magnetic fields are present.…”

mentioning

confidence: 99%

Tuning topology in thin films of topological insulators by strain gradients

2019

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We theoretically show that the coupling of inhomogeneous strains to the Dirac fermions of threedimensional topological insulators (3DTI) in thin film geometries results in the occurrence of phase transitions between topologically distinct insulating phases. By means of minimal k · p models for strong 3DTI in the Bi2Se3 materials class, we find that in thin films of stoichiometric materials a strain-gradient induced structure inversion asymmetry drives a phase transition from a quantum spin-Hall phase to a topologically trivial insulating phase. Interestingly, in alloys with strongly reduced bulk band gaps strain gradients have an opposite effect and promote a topologically nontrivial phase from a parent normal band insulator. These strain-gradient assisted switchings between topologically distinct phases are expected to yield a flexomagnetic coupling in magnetic topological insulator thin films.

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Collapse of Landau levels in Weyl semimetals

Cited by 51 publications

References 46 publications

Pseudo-electromagnetic fields in 3D topological semimetals

Pseudo-electromagnetic fields in 3D topological semimetals

Note on the Bloch theorem

Tuning topology in thin films of topological insulators by strain gradients

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