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Title: Electrodynamics on Fermi Cyclides in Nodal Line Semimetals

Abstract

We study the frequency-dependent conductivity of nodal line semimetals (NLSMs), focusing on the effects of carrier density and energy dispersion on the nodal line. Here, we find that the low-frequency conductivity has a rich spectral structure which can be understood using scaling rules derived from the geometry of their Dupin cyclide Fermi surfaces. We identify different frequency regimes, find scaling rules for the optical conductivity in each, and demonstrate them with numerical calculations of the inter- and intraband contributions to the optical conductivity using a low-energy model for a generic NLSM.

Authors:
 [1];  [2];  [3]
  1. Seoul National Univ., Seoul (Korea)
  2. Univ. of Pennsylvania, Philadelphia, PA (United States)
  3. Seoul National Univ., Seoul (Korea); Univ. of Pennsylvania, Philadelphia, PA (United States)
Publication Date:
Research Org.:
Univ. of Pennsylvania, Philadelphia, PA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1511841
Alternate Identifier(s):
OSTI ID: 1398157
Grant/Contract Number:  
[FG02-84ER45118; FG02-ER45118]
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
[ Journal Volume: 119; Journal Issue: 14]; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Ahn, Seongjin, Mele, E. J., and Min, Hongki. Electrodynamics on Fermi Cyclides in Nodal Line Semimetals. United States: N. p., 2017. Web. doi:10.1103/physrevlett.119.147402.
Ahn, Seongjin, Mele, E. J., & Min, Hongki. Electrodynamics on Fermi Cyclides in Nodal Line Semimetals. United States. doi:10.1103/physrevlett.119.147402.
Ahn, Seongjin, Mele, E. J., and Min, Hongki. Thu . "Electrodynamics on Fermi Cyclides in Nodal Line Semimetals". United States. doi:10.1103/physrevlett.119.147402. https://www.osti.gov/servlets/purl/1511841.
@article{osti_1511841,
title = {Electrodynamics on Fermi Cyclides in Nodal Line Semimetals},
author = {Ahn, Seongjin and Mele, E. J. and Min, Hongki},
abstractNote = {We study the frequency-dependent conductivity of nodal line semimetals (NLSMs), focusing on the effects of carrier density and energy dispersion on the nodal line. Here, we find that the low-frequency conductivity has a rich spectral structure which can be understood using scaling rules derived from the geometry of their Dupin cyclide Fermi surfaces. We identify different frequency regimes, find scaling rules for the optical conductivity in each, and demonstrate them with numerical calculations of the inter- and intraband contributions to the optical conductivity using a low-energy model for a generic NLSM.},
doi = {10.1103/physrevlett.119.147402},
journal = {Physical Review Letters},
number = [14],
volume = [119],
place = {United States},
year = {2017},
month = {10}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 19 works
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Figures / Tables:

FIG. 1 FIG. 1: Evolution of the FS as a function of tilt Δt and Fermi energy εF with red (blue) indicating the electron (hole) pocket. (a) At zero Fermi energy with zero tilt, the FS has a onedimensional ring shape sitting on the zero-energy plane. (b) With a finite tilt, themore » ring shape evolves into a symmetric horn cyclide containing both electron and hole pockets symmetrically, which vanish at two contact points. Upon increasing the Fermi energy, the electron and hole pockets (c) become asymmetric and the contact points move out from the symmetrical axis, (d) converge into a single point when the Fermi energy equals the tilt energy, and (e) vanish when the Fermi energy becomes larger than the tilt energy. (f) When the Fermi energy equals the energy scale of the ring radius, the FS is merged into a spherelike shape with no holes in the center, similar to that of Weyl semimetals.« less

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Works referenced in this record:

Topological nodal semimetals
journal, December 2011


Dynamical Conductivity and Zero-Mode Anomaly in Honeycomb Lattices
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  • Ando, Tsuneya; Zheng, Yisong; Suzuura, Hidekatsu
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Optical response of a line node semimetal
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Line of Dirac Nodes in Hyperhoneycomb Lattices
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    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.