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Title: Topological nodal line semimetals with and without spin-orbital coupling

Abstract

Here, we theoretically study three-dimensional topological semimetals (TSMs) with nodal lines protected by crystalline symmetries. Compared to TSMs with point nodes, e.g., Weyl semimetals and Dirac semimetals, where the conduction and the valence bands touch at discrete points, in these TSMs the two bands cross at closed lines in the Brillouin zone. We propose two different classes of symmetry protected nodal lines in the absence and in the presence of spin-orbital coupling (SOC), respectively. In the former, we discuss nodal lines that are protected by a combination of inversion symmetry and time-reversal symmetry, yet, unlike previously studied nodal lines in the same symmetry class, each nodal line has a Z2 monopole charge and can only be created (annihilated) in pairs. In the second class, with SOC, we show that a nonsymmorphic symmetry (screw axis) protects a four-band crossing nodal line in systems having both inversion and time-reversal symmetries.

Authors:
 [1];  [2];  [2];  [1]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  2. Univ. of Toronto, Toronto, ON (Canada); Canadian Inst. for Advanced Research/Quantum Materials Program, Toronto, ON (Canada)
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1505795
Alternate Identifier(s):
OSTI ID: 1209840
Grant/Contract Number:  
SC0001299; FG02-09ER46577
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. B, Condensed Matter and Materials Physics
Additional Journal Information:
Journal Volume: 92; Journal Issue: 8; Journal ID: ISSN 1098-0121
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Fang, Chen, Chen, Yige, Kee, Hae -Young, and Fu, Liang. Topological nodal line semimetals with and without spin-orbital coupling. United States: N. p., 2015. Web. doi:10.1103/physrevb.92.081201.
Fang, Chen, Chen, Yige, Kee, Hae -Young, & Fu, Liang. Topological nodal line semimetals with and without spin-orbital coupling. United States. doi:https://doi.org/10.1103/physrevb.92.081201
Fang, Chen, Chen, Yige, Kee, Hae -Young, and Fu, Liang. Mon . "Topological nodal line semimetals with and without spin-orbital coupling". United States. doi:https://doi.org/10.1103/physrevb.92.081201. https://www.osti.gov/servlets/purl/1505795.
@article{osti_1505795,
title = {Topological nodal line semimetals with and without spin-orbital coupling},
author = {Fang, Chen and Chen, Yige and Kee, Hae -Young and Fu, Liang},
abstractNote = {Here, we theoretically study three-dimensional topological semimetals (TSMs) with nodal lines protected by crystalline symmetries. Compared to TSMs with point nodes, e.g., Weyl semimetals and Dirac semimetals, where the conduction and the valence bands touch at discrete points, in these TSMs the two bands cross at closed lines in the Brillouin zone. We propose two different classes of symmetry protected nodal lines in the absence and in the presence of spin-orbital coupling (SOC), respectively. In the former, we discuss nodal lines that are protected by a combination of inversion symmetry and time-reversal symmetry, yet, unlike previously studied nodal lines in the same symmetry class, each nodal line has a Z2 monopole charge and can only be created (annihilated) in pairs. In the second class, with SOC, we show that a nonsymmorphic symmetry (screw axis) protects a four-band crossing nodal line in systems having both inversion and time-reversal symmetries.},
doi = {10.1103/physrevb.92.081201},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 8,
volume = 92,
place = {United States},
year = {2015},
month = {8}
}

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Cited by: 132 works
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Figures / Tables:

FIG. 1 FIG. 1: (a) A nontrivial Z2 invariant (Berry’s phase of π ) of any loop in 3D BZ implies a nodal line (solid line) passing through the loop. (b) The 2D Z2 invariant for a nodal line in 3D BZ defined on a sphere enclosing the line. (c) The evolutionmore » of a nodal line with zero monopole charge as the parameter changes in the model of Eq. (2). (d) The evolution of a nodal line with nonzero monopole charge as the parameter changes in the model of Eq. (5).« less

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        Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.