Nonsymmorphic cubic Dirac point and crossed nodal rings across the ferroelectric phase transition in LiOsO 3
Abstract
Crystalline symmetries can generate exotic band-crossing features, which can lead to unconventional fermionic excitations with interesting physical properties. We show how a cubic Dirac point—a fourfold-degenerate band-crossing point with cubic dispersion in a plane and a linear dispersion in the third direction—can be stabilized through the presence of a nonsymmorphic glide mirror symmetry in the space group of the crystal. Notably, the cubic Dirac point in our case appears on a threefold axis, even though it has been believed previously that such a point can only appear on a sixfold axis. We show that a cubic Dirac point involving a threefold axis can be realized close to the Fermi level in the nonferroelectric phase of LiOsO3. Upon lowering temperature, LiOsO3 has been shown experimentally to undergo a structural phase transition from the nonferroelectric phase to the ferroelectric phase with spontaneously broken inversion symmetry. Here we find that the broken symmetry transforms the cubic Dirac point into three mutually crossed nodal rings. There also exist several linear Dirac points in the low-energy band structure of LiOsO3, each of which is transformed into a single nodal ring across the phase transition.
- Authors:
-
- National University of Singapore (Singapore)
- National University of Singapore (Singapore); National Center for Theoretical Science, Hsinchu (Taiwan); National Sun Yat-Sen University, Kaoshiung (Taiwan)
- National Sun Yat-Sen University, Kaoshiung (Taiwan)
- Singapore University of Technology and Design (Singapore)
- National University of Singapore (Singapore); Institute of Physics, Academia Sinica, Taipei (Taiwan)
- Northeastern University, Boston, MA (United States)
- Publication Date:
- Research Org.:
- Northeastern Univ., Boston, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); Singapore National Research Foundation (NRF); National Center for Theoretical Sciences; Ministry of Science and Technology of Taiwan
- OSTI Identifier:
- 1541385
- Alternate Identifier(s):
- OSTI ID: 1437076
- Grant/Contract Number:
- FG02-07ER46352; AC02-05CH11231; NRFF2013- 03; MOST-104-2112-M-110-002- MY3; MOE2015-T2-2-144
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Materials
- Additional Journal Information:
- Journal Volume: 2; Journal Issue: 5; Journal ID: ISSN 2475-9953
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; electronic structure; Dirac Semimetal; ferroelectrics; node-line semimetals; topological materials
Citation Formats
Yu, Wing Chi, Zhou, Xiaoting, Chuang, Feng-Chuan, Yang, Shengyuan A., Lin, Hsin, and Bansil, Arun. Nonsymmorphic cubic Dirac point and crossed nodal rings across the ferroelectric phase transition in LiOsO3. United States: N. p., 2018.
Web. doi:10.1103/physrevmaterials.2.051201.
Yu, Wing Chi, Zhou, Xiaoting, Chuang, Feng-Chuan, Yang, Shengyuan A., Lin, Hsin, & Bansil, Arun. Nonsymmorphic cubic Dirac point and crossed nodal rings across the ferroelectric phase transition in LiOsO3. United States. https://doi.org/10.1103/physrevmaterials.2.051201
Yu, Wing Chi, Zhou, Xiaoting, Chuang, Feng-Chuan, Yang, Shengyuan A., Lin, Hsin, and Bansil, Arun. Mon .
"Nonsymmorphic cubic Dirac point and crossed nodal rings across the ferroelectric phase transition in LiOsO3". United States. https://doi.org/10.1103/physrevmaterials.2.051201. https://www.osti.gov/servlets/purl/1541385.
@article{osti_1541385,
title = {Nonsymmorphic cubic Dirac point and crossed nodal rings across the ferroelectric phase transition in LiOsO3},
author = {Yu, Wing Chi and Zhou, Xiaoting and Chuang, Feng-Chuan and Yang, Shengyuan A. and Lin, Hsin and Bansil, Arun},
abstractNote = {Crystalline symmetries can generate exotic band-crossing features, which can lead to unconventional fermionic excitations with interesting physical properties. We show how a cubic Dirac point—a fourfold-degenerate band-crossing point with cubic dispersion in a plane and a linear dispersion in the third direction—can be stabilized through the presence of a nonsymmorphic glide mirror symmetry in the space group of the crystal. Notably, the cubic Dirac point in our case appears on a threefold axis, even though it has been believed previously that such a point can only appear on a sixfold axis. We show that a cubic Dirac point involving a threefold axis can be realized close to the Fermi level in the nonferroelectric phase of LiOsO3. Upon lowering temperature, LiOsO3 has been shown experimentally to undergo a structural phase transition from the nonferroelectric phase to the ferroelectric phase with spontaneously broken inversion symmetry. Here we find that the broken symmetry transforms the cubic Dirac point into three mutually crossed nodal rings. There also exist several linear Dirac points in the low-energy band structure of LiOsO3, each of which is transformed into a single nodal ring across the phase transition.},
doi = {10.1103/physrevmaterials.2.051201},
journal = {Physical Review Materials},
number = 5,
volume = 2,
place = {United States},
year = {Mon May 14 00:00:00 EDT 2018},
month = {Mon May 14 00:00:00 EDT 2018}
}
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