# Coexistence of type-II Dirac point and weak topological phase in ${\mathrm{Pt}}_{3}\mathrm{Sn}$

## Abstract

Intriguing topological phases may appear in both insulating and semimetallic states. Topological insulators exhibit topologically nontrivial band inversion, while topological Dirac/Weyl semimetals show “relativistic” linear band crossings. Here, we report an unusual topological state of Pt _{3}Sn, where the two topological features appear simultaneously. Based on first-principles calculations, we show that Pt _{3}Sn is a three-dimensional weak topological semimetal with topologically nontrivial band inversion between the valence and conduction bands, where the band structure also possesses type-II Dirac points at the boundary of two electron pockets. The formation of the Dirac points can be understood in terms of the representations of relevant symmetry groups and the compatibility relations. The topological surface states appear in accordance with the nontrivial bulk band topology. As a result, the unique coexistence of the two distinct topological features in Pt _{3}Sn enlarges the material scope in topological physics, and is potentially useful for spintronics.

- Authors:

- Ames Lab. and Iowa State Univ., Ames, IA (United States)

- Publication Date:

- Research Org.:
- Ames Laboratory (AMES), Ames, IA (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1409680

- Alternate Identifier(s):
- OSTI ID: 1407440

- Report Number(s):
- IS-J-9495

Journal ID: ISSN 2469-9950; PRBMDO

- Grant/Contract Number:
- AC02-07CH11358; AC02-05CH11231

- Resource Type:
- Journal Article: Accepted Manuscript

- Journal Name:
- Physical Review B

- Additional Journal Information:
- Journal Volume: 96; Journal Issue: 20; Journal ID: ISSN 2469-9950

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

### Citation Formats

```
Kim, Minsung, Wang, Cai -Zhuang, and Ho, Kai -Ming.
```*Coexistence of type-II Dirac point and weak topological phase in Pt3Sn*. United States: N. p., 2017.
Web. doi:10.1103/PhysRevB.96.205107.

```
Kim, Minsung, Wang, Cai -Zhuang, & Ho, Kai -Ming.
```*Coexistence of type-II Dirac point and weak topological phase in Pt3Sn*. United States. doi:10.1103/PhysRevB.96.205107.

```
Kim, Minsung, Wang, Cai -Zhuang, and Ho, Kai -Ming. Mon .
"Coexistence of type-II Dirac point and weak topological phase in Pt3Sn". United States.
doi:10.1103/PhysRevB.96.205107.
```

```
@article{osti_1409680,
```

title = {Coexistence of type-II Dirac point and weak topological phase in Pt3Sn},

author = {Kim, Minsung and Wang, Cai -Zhuang and Ho, Kai -Ming},

abstractNote = {Intriguing topological phases may appear in both insulating and semimetallic states. Topological insulators exhibit topologically nontrivial band inversion, while topological Dirac/Weyl semimetals show “relativistic” linear band crossings. Here, we report an unusual topological state of Pt3Sn, where the two topological features appear simultaneously. Based on first-principles calculations, we show that Pt3Sn is a three-dimensional weak topological semimetal with topologically nontrivial band inversion between the valence and conduction bands, where the band structure also possesses type-II Dirac points at the boundary of two electron pockets. The formation of the Dirac points can be understood in terms of the representations of relevant symmetry groups and the compatibility relations. The topological surface states appear in accordance with the nontrivial bulk band topology. As a result, the unique coexistence of the two distinct topological features in Pt3Sn enlarges the material scope in topological physics, and is potentially useful for spintronics.},

doi = {10.1103/PhysRevB.96.205107},

journal = {Physical Review B},

number = 20,

volume = 96,

place = {United States},

year = {Mon Nov 06 00:00:00 EST 2017},

month = {Mon Nov 06 00:00:00 EST 2017}

}

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