TY - JOUR
T1 - PtP2
T2 - An example of exploring the hidden Cairo tessellation in the pyrite structure for discovering novel two-dimensional materials
AU - Liu, Lei
AU - Zhuang, Houlong
N1 - Funding Information:
We thank the start-up funds from Arizona State University. We also thank Dr. Jianfeng Wang, Dr. Bing Huang, and Dr. Xiaofeng Qian for helpful discussions. This research used computational resources of the Texas Advanced Computing Center under Contract No.TG-DMR170070.
Publisher Copyright:
© 2018 American Physical Society.
PY - 2018/11/6
Y1 - 2018/11/6
N2 - The Cairo tessellation refers to a pattern of type 2 pentagons that can tile an infinite plane without creating a gap or overlap. We reveal the hidden, layered Cairo tessellations in the pyrite structure with a general chemical formula AB2 and space group pa3. We use this hidden tessellation along with density functional theory calculations to examine the possibility of obtaining a two-dimensional (2D) material with the Cairo tessellation from the bulk, using PtP2 as an example. Unlike previously reported single-layer materials such as PdSe2 with a buckled, pentagonal structure - strictly speaking, not belonging to the Cairo tessellation, we find that single-layer PtP2 is completely planar exhibiting dynamically stable phonon modes. We also observe a reduction in the band gaps of PtP2 from bulk to single layer using the Heyd-Scuseria-Ernzerhof (HSE) hybrid density functional, and the band gap type switches from indirect to direct. By contrast, using the standard Perdew-Burke-Ernzerhof functional leads to the conclusion of single-layer PtP2 being metallic. We further study the bonding characteristics of this novel single-layer material by computing the Bader charge transfer, the electron localization function, and the crystal orbit overlap population, which show mixed P-P covalent bonding and Pt-P ionic bonding, with the former being stronger. Finally, we study the surface states of single-layer PtP2 and consider the spin-orbit coupling. We observe no spin-helical Dirac cone states, therefore ruling out single-layer PtP2 as a topological insulator. We expect the example demonstrated in this work will stimulate interest in computationally identifying novel 2D materials from a variety of bulk materials with the pyrite structure.
AB - The Cairo tessellation refers to a pattern of type 2 pentagons that can tile an infinite plane without creating a gap or overlap. We reveal the hidden, layered Cairo tessellations in the pyrite structure with a general chemical formula AB2 and space group pa3. We use this hidden tessellation along with density functional theory calculations to examine the possibility of obtaining a two-dimensional (2D) material with the Cairo tessellation from the bulk, using PtP2 as an example. Unlike previously reported single-layer materials such as PdSe2 with a buckled, pentagonal structure - strictly speaking, not belonging to the Cairo tessellation, we find that single-layer PtP2 is completely planar exhibiting dynamically stable phonon modes. We also observe a reduction in the band gaps of PtP2 from bulk to single layer using the Heyd-Scuseria-Ernzerhof (HSE) hybrid density functional, and the band gap type switches from indirect to direct. By contrast, using the standard Perdew-Burke-Ernzerhof functional leads to the conclusion of single-layer PtP2 being metallic. We further study the bonding characteristics of this novel single-layer material by computing the Bader charge transfer, the electron localization function, and the crystal orbit overlap population, which show mixed P-P covalent bonding and Pt-P ionic bonding, with the former being stronger. Finally, we study the surface states of single-layer PtP2 and consider the spin-orbit coupling. We observe no spin-helical Dirac cone states, therefore ruling out single-layer PtP2 as a topological insulator. We expect the example demonstrated in this work will stimulate interest in computationally identifying novel 2D materials from a variety of bulk materials with the pyrite structure.
UR - http://www.scopus.com/inward/record.url?scp=85057858732&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85057858732&partnerID=8YFLogxK
U2 - 10.1103/PhysRevMaterials.2.114003
DO - 10.1103/PhysRevMaterials.2.114003
M3 - Article
AN - SCOPUS:85057858732
SN - 2475-9953
VL - 2
JO - Physical Review Materials
JF - Physical Review Materials
IS - 11
M1 - 114003
ER -