2014
DOI: 10.1038/ncomms5727
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Negative poisson’s ratio in single-layer black phosphorus

Abstract: The Poisson's ratio is a fundamental mechanical property that relates the resulting lateral strain to applied axial strain. Although this value can theoretically be negative, it is positive for nearly all materials, though negative values have been observed in so-called auxetic structures. However, nearly all auxetic materials are bulk materials whose microstructure has been specifically engineered to generate a negative Poisson's ratio. Here we report using first-principles calculations the existence of a neg… Show more

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Cited by 677 publications
(611 citation statements)
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“…BP has the ability to withstand a tensile strain of up to 30% and 32% for monolayer and multi‐layer BP, respectively; the superior flexibility of phosphorene can also be utilized for practical large‐magnitude strain engineering 46, 72. The presence of a negative Poisson's ratio (ν = –0.027) in the out‐of‐plane direction under a uniaxial deformation in the direction parallel to the pucker in single‐layer BP was confirmed from first‐principles calculations 49. Due to the Hall mobility in the BP two‐dimensional electron gas, quantum oscillations at the extreme quantum limit are observed 73.…”
Section: Structure and Fundamentals Of Phosphorenementioning
confidence: 84%
“…BP has the ability to withstand a tensile strain of up to 30% and 32% for monolayer and multi‐layer BP, respectively; the superior flexibility of phosphorene can also be utilized for practical large‐magnitude strain engineering 46, 72. The presence of a negative Poisson's ratio (ν = –0.027) in the out‐of‐plane direction under a uniaxial deformation in the direction parallel to the pucker in single‐layer BP was confirmed from first‐principles calculations 49. Due to the Hall mobility in the BP two‐dimensional electron gas, quantum oscillations at the extreme quantum limit are observed 73.…”
Section: Structure and Fundamentals Of Phosphorenementioning
confidence: 84%
“…Various properties of phosphorene have been investigated theoretically and experimentally, e.g., field transistor effect [1,3,4,20], strain modification [7,13,19,21], optoelectronics and electronics [22][23][24][25][26][27][28][29][30][31], transport properties [2,32,33], excitons [18,34], heterostructures and PN junctions [35][36][37], and a recent experimental demonstration of the crystalline * kchang@semi.ac.cn; † wuzhenhua@ime.ac.cn anisotropy impacted phase coherent transport properties in BP field-effect transistor [38]. Another experiment carried out by Masih Das, et al [39] indicates that its possible to sculpture phosphorus nanoribbons experimentally which provide a possibility to make a PNR as proposed in this paper.…”
Section: Introductionmentioning
confidence: 99%
“…The negative Poisson ratio should also exist in other buckled borophenes with low HH concentrations. Earlier theories have reported negative Poisson ratio in phosphorene 43 and a newly predicted Be 5 C 2 monolayer [43][44] , both with a large out-of-plane buckling.…”
mentioning
confidence: 99%