Nonequilibrium transport and statistics of Schwinger pair production in Weyl semimetals

Vajna, Szabolcs; Dóra, Balázs; Moessner, Roderich

doi:10.1103/physrevb.92.085122

Cited by 22 publications

(30 citation statements)

References 34 publications

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“…In particular, the particle creation effect due to the Sauter-like and T -constant electric fields is crucial for understanding the conductivity of graphene or Weyl semimetals in the nonlinear regime as was reported, e.g., in Refs. [27,[33][34][35][36][37][38][39][40]. Note that the cases of a constant and exponentially decaying electric fields have many similarities with the case of the de Sitter background, e.g., see Refs.…”

Section: Introductionmentioning

confidence: 99%

Exactly solvable cases in QED with t-electric potential steps

Adorno

Gavrilov

Гитман

2017

Int. J. Mod. Phys. A

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In this paper, we present in detail consistent QED (and scalar QED) calculations of particle creation effects in external electromagnetic field that correspond to three most important exactly solvable cases of t-electric potential steps: Sauter-like electric field, T -constant electric field, and exponentially growing and decaying electric fields. In all these cases, we succeeded to obtain new results, such as calculations in modified configurations of the above mentioned steps and detailed considerations of new limiting cases in already studied before steps. As was recently discovered by us, the information derived from considerations of exactly solvable cases allows one to make some general conclusions about quantum effects in fields for which no closed form solutions of the Dirac (or Klein-Gordon) equation are known. In the present article we briefly represent such conclusions about an universal behavior of vacuum mean values in slowly varying strong electric fields.

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Section: Introductionmentioning

confidence: 99%

Exactly solvable cases in QED with t-electric potential steps

Adorno

Gavrilov

Гитман

2017

Int. J. Mod. Phys. A

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“…Under a strong electrical field, due to the Landau-Zener transition, a topological insulator or graphene can exhibit a quantization breakdown phenomenon in the spin Hall conductivity 38 . More recently, non-equilibrium electric transport beyond the linear response regime in 3D Weyl semimetals has been studied 39 . In these works, the quasiparticles are relativistic pseudospin-1/2 fermions arising from the Dirac or Weyl system with a conical type of dispersion in their energy momentum spectrum.…”

Section: Introductionmentioning

confidence: 99%

Nonequilibrium transport in the pseudospin-1 Dirac-Weyl system

Wang

Huang

et al. 2017

Phys. Rev. B

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Solid state materials hosting pseudospin-1 quasiparticles have attracted a great deal of recent attention. In these materials, the energy band contains of a pair of Dirac cones and a flat band through the connecting point of the cones. As the "caging" of carriers with a zero group velocity, the flat band itself has zero conductivity. However, in a non-equilibrium situation where a constant electric field is suddenly switched on, the flat band can enhance the resulting current in both the linear and nonlinear response regimes through distinct physical mechanisms. Using the (2 + 1) dimensional pseudospin-1 Dirac-Weyl system as a concrete setting, we demonstrate that, in the weak field regime, the interband current is about twice larger than that for pseudospin-1/2 system due to the interplay between the flat band and the negative band, with the scaling behavior determined by the Kubo formula. In the strong field regime, the intraband current is √ 2 times larger than that in the pseudospin-1/2 system, due to the additional contribution from particles residing in the flat band. In this case, the current and field follows the scaling law associated with Landau-Zener tunneling. These results provide a better understanding of the role of the flat band in non-equilibrium transport and are experimentally testable using electronic or photonic systems.

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“…Switch-ing the peak field on and off, we can imitate electric fields that are specific to condensed matter physics, in particular to graphene or Weyl semimetals as was reported, e.g., in Refs. [31][32][33][34][35][36][37][38][39].…”

Section: Introductionmentioning

confidence: 99%

Particle creation by peak electric field

2016

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The particle creation by the so-called peak electric field is considered. The latter field is a combination of two exponential parts, one exponentially increasing and another exponentially decreasing. We find exact solutions of the Dirac equation with the field under consideration with appropriate asymptotic conditions and calculate all the characteristics of particle creation effect, in particular, differential mean numbers of created particle, total number of created particles, and the probability for a vacuum to remain a vacuum. Characteristic asymptotic regimes are discussed in detail and a comparison with the pure asymptotically decaying field is considered.

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Nonequilibrium transport and statistics of Schwinger pair production in Weyl semimetals

Cited by 22 publications

References 34 publications

Exactly solvable cases in QED with t-electric potential steps

Exactly solvable cases in QED with t-electric potential steps

Nonequilibrium transport in the pseudospin-1 Dirac-Weyl system

Particle creation by peak electric field

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