Entropy and topology of two-dimensional extreme black holes

Bin Wang; Ru-Keng Su

doi:10.1103/physrevd.59.104006

Transient scalar hair for nearly extreme black holes

Physical Review Research ◽

10.1103/physrevresearch.1.033106 ◽

2019 ◽

Vol 1 (3) ◽

Cited By ~ 3

Author(s):

Lior M. Burko ◽

Gaurav Khanna ◽

Subir Sabharwal

Keyword(s):

Black Holes ◽

Scalar Hair ◽

Extreme Black Holes

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Mechanical origin of martensite-like structures in two-dimensional ReS2

Communications Materials ◽

10.1038/s43246-021-00190-7 ◽

2021 ◽

Vol 2 (1) ◽

Author(s):

Lingli Huang ◽

Fangyuan Zheng ◽

Honglin Chen ◽

Quoc Huy Thi ◽

Xin Chen ◽

...

Keyword(s):

Chemical Vapor ◽

Two Dimensional ◽

Domain Formation ◽

Domain Structures ◽

And Topology ◽

Two Dimensional Materials ◽

Small Lattice ◽

Properties Of Materials ◽

Potential Use ◽

Diffusionless Transformation

AbstractMartensite is a needle-shaped microstructure formed by a rapid, diffusionless transformation and significantly affects the mechanical properties of materials. Here, in two-dimensional ReS2 we show that martensite-like domain structures can form via a diffusionless transformation, involving small lattice deformations. By analyzing the strain distribution and topology of the as-grown chemical vapor deposition samples, we find that cooling-induced strain at the ReS2/substrate interface is responsible for the mechanical loading and is essential for martensite-like domain formation. Meanwhile, the effect of cooling rate, flake size and substrate on the microstructures revealed the mechanical origin of the transformation. The strain-induced lattice reconstructions are rationalized and possibly lead to ferroelastic effects. In view of the strong anisotropy in electronic and optical properties in two dimensional materials like ReS2, opportunities exist for strain-correlated micro/nanostructure engineering, which has potential use in next-generation strain-tunable devices.

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Holographic renormalization group flows in two-dimensional gravity and AdS black holes

Journal of High Energy Physics ◽

10.1007/jhep07(2020)209 ◽

2020 ◽

Vol 2020 (7) ◽

Author(s):

Minwoo Suh

Keyword(s):

Black Holes ◽

Renormalization Group ◽

Two Dimensional ◽

Ads Black Holes ◽

Holographic Renormalization ◽

Dimensional Gravity ◽

Renormalization Group Flows

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Islands in linear dilaton black holes

Journal of High Energy Physics ◽

10.1007/jhep03(2021)253 ◽

2021 ◽

Vol 2021 (3) ◽

Cited By ~ 1

Author(s):

Georgios K. Karananas ◽

Alex Kehagias ◽

John Taskas

Keyword(s):

Black Holes ◽

Black Hole ◽

Entanglement Entropy ◽

Von Neumann Entropy ◽

Two Dimensional ◽

Extremal Case ◽

Von Neumann ◽

Dimensional Black Hole ◽

Linear Dilaton ◽

Linear Dilaton Black Hole

Abstract We derive a novel four-dimensional black hole with planar horizon that asymptotes to the linear dilaton background. The usual growth of its entanglement entropy before Page’s time is established. After that, emergent islands modify to a large extent the entropy, which becomes finite and is saturated by its Bekenstein-Hawking value in accordance with the finiteness of the von Neumann entropy of eternal black holes. We demonstrate that viewed from the string frame, our solution is the two-dimensional Witten black hole with two additional free bosons. We generalize our findings by considering a general class of linear dilaton black hole solutions at a generic point along the σ-model renormalization group (RG) equations. For those, we observe that the entanglement entropy is “running” i.e. it is changing along the RG flow with respect to the two-dimensional worldsheet length scale. At any fixed moment before Page’s time the aforementioned entropy increases towards the infrared (IR) domain, whereas the presence of islands leads the running entropy to decrease towards the IR at later times. Finally, we present a four-dimensional charged black hole that asymptotes to the linear dilaton background as well. We compute the associated entanglement entropy for the extremal case and we find that an island is needed in order for it to follow the Page curve.

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