2021
DOI: 10.48550/arxiv.2106.14553
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Hawking fragmentation and Hawking attenuation in Weyl semimetals

Daniel Sabsovich,
Paul Wunderlich,
Victor Fleurov
et al.

Abstract: We study black and white hole analogues in Weyl semimetals with inhomogenous nodal tilts. We study how the presence of a microscopic lattice, giving rise to low-energy fermion doubler states at large momenta that are not present for elementary particles, affects the analogy between Weyl Hamiltonians and general relativity. Using a microscopic tight-binding lattice model, we find the doubler states to give rise to Hawking fragmentation and Hawking attenuation of wavepackets by the analogue event horizon. These … Show more

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Cited by 3 publications
(3 citation statements)
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References 83 publications
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“…In the Weyl semimetals, the black hole horizon and the corresponding Hawking radiation can be simulated by creation of the region with overtilted Dirac cone, 7,9,10,[12][13][14] where |v(r)| > 1 (see Fig. 1 right).…”
Section: Analog Of Horizon In Weyl Semimetalsmentioning
confidence: 99%
“…In the Weyl semimetals, the black hole horizon and the corresponding Hawking radiation can be simulated by creation of the region with overtilted Dirac cone, 7,9,10,[12][13][14] where |v(r)| > 1 (see Fig. 1 right).…”
Section: Analog Of Horizon In Weyl Semimetalsmentioning
confidence: 99%
“…This triggers off the idea of an artificial Hawking radiation in Weyl semimetals [28][29][30][31]. Very recently, a study of the reasonableness of connecting (over-)tilted Weyl nodes with the manifestation of black holes, along with an overall experimental viability, has received further attention [26] Consider the following non-Hermitian Hamiltonian of a topologically insulating two band model…”
Section: Pseudo-hermitian Hamiltonianmentioning
confidence: 99%
“…Moreover, Sakalli and Övgün have studied gravitational lensing problem of the Rindler modified Schwarzschild black hole and their investigations show how the Rindler acceleration affects the Hawking radiation and gravitational lensing [94]. Sabsovich et al have studied the black/ white holes analogues in Weyl semimetals with inhomogenous nodal tilts and their an analogue Hawking temperature, which can be measured in metamaterials and solids [95]. Moreover, the index of the refraction plays a decisive role on the tunneling rate [96] and Sakalli, Övgün and Mirekhtiary have calculated the value of refractive index n to show the gravitational lensing effect on the the tunneling rate of the Hawking radiation using a non-asymptotically flat dyonic black hole in four-dimensional Einstein-Maxwell-Dilaton gravity [97].…”
Section: Introductionmentioning
confidence: 99%