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Drumhead surface states and their signatures in quasiparticle scattering interference
Strongly Correlated Electrons · Submitted 26 Feb 2018
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that unique signatures of the topologically nontrivial drumhead surface states can be measured by means of quasiparticle scattering interference, which we compute for both Dirac and Weyl nodal line semimetals.
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The abstract, sentence by sentence
We consider a two-orbital tight-binding model defined on a layered three-dimensional hexagonal lattice to investigate the properties of topological nodal lines and their associated drumhead surface states. We examine these surface states in centrosymmetric systems, where the bulk nodal lines are of Dirac type (i.e., four-fold degenerate), as well as in non-centrosymmetric systems with strong Rashba and/or Dresselhaus spin-orbit coupling, where the bulk nodal lines are of Weyl type (i.e., two-fold degenerate). We find that in non-centrosymmetric systems the nodal lines and their corresponding drumhead surface states are fully spin polarized due to spin-orbit coupling. We show that unique signatures of the topologically nontrivial drumhead surface states can be measured by means of quasiparticle scattering interference, which we compute for both Dirac and Weyl nodal line semimetals. At the end, we analyze the possible crystal structures with a symmetry that supports flat surface states which are effectively ringlike.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We consider a two-orbital tight-binding model defined on a layered three-dimensional hexagonal lattice to investigate the properties of topological nodal lines and their associated drumhead surface states. | method 0.51 | 0.79 | 0.04 | asserted 0.71 |
| s1 | We examine these surface states in centrosymmetric systems, where the bulk nodal lines are of Dirac type (i.e., four-fold degenerate), as well as in non-centrosymmetric systems with strong Rashba and/or Dresselhaus spin-orbit coupling, where the bulk nodal lines are of Weyl type (i.e., two-fold degenerate). | contribution 0.59 | 0.45 | 0.06 | asserted 0.95 |
| s2 | We find that in non-centrosymmetric systems the nodal lines and their corresponding drumhead surface states are fully spin polarized due to spin-orbit coupling. | result 1.00 | 0.94 | 0.15 | asserted 1.00 |
| s3 | We show that unique signatures of the topologically nontrivial drumhead surface states can be measured by means of quasiparticle scattering interference, which we compute for both Dirac and Weyl nodal line semimetals. | result 0.68 | 0.94 | 0.68 | asserted 1.00 |
| s4 | At the end, we analyze the possible crystal structures with a symmetry that supports flat surface states which are effectively ringlike. | contribution 0.87 | 0.88 | 0.08 | hedged possibility 0.91 |
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The paper
Original abstract
We consider a two-orbital tight-binding model defined on a layered three-dimensional hexagonal lattice to investigate the properties of topological nodal lines and their associated drumhead surface states. We examine these surface states in centrosymmetric systems, where the bulk nodal lines are of Dirac type (i.e., four-fold degenerate), as well as in non-centrosymmetric systems with strong Rashba and/or Dresselhaus spin-orbit coupling, where the bulk nodal lines are of Weyl type (i.e., two-fold degenerate). We find that in non-centrosymmetric systems the nodal lines and their corresponding drumhead surface states are fully spin polarized due to spin-orbit coupling. We show that unique signatures of the topologically nontrivial drumhead surface states can be measured by means of quasiparticle scattering interference, which we compute for both Dirac and Weyl nodal line semimetals. At the end, we analyze the possible crystal structures with a symmetry that supports flat surface states which are effectively ringlike.
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How the literature uses it
2 arXiv papers cite this in 3 sentences
Papers citing it · 2 sentences without a confident label
Cites it as background 1 paper
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Discovery of novel phases in the nodal systems has extended the classification of states of matter from the bulk gapped topological insulators to the gapless systems such as topological superconductors [ref] and semimetals [ref] .
Edge currents as a probe of the strongly spin-polarized topological noncentrosymmetric superconductors · Introduction · 0.98
What it cites · 3 sentences without a confident label
Cites as background 2 papers
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The recent theoretical prediction and experimental observation of topological nodal-line semimetals [ref] , Weyl semimetals [ref] , and Dirac semimetals [ref] has redirected the research interest from insulating topological materials to topological semimetals in the field of quantum condensed matter physics.
Theoretical Discovery/Prediction: Weyl Semimetal states in the TaAs material (TaAs, NbAs, NbP, TaP) class · Introduction · 0.96
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The recent theoretical prediction and experimental observation of topological nodal-line semimetals [ref] , Weyl semimetals [ref] , and Dirac semimetals [ref] has redirected the research interest from insulating topological materials to topological semimetals in the field of quantum condensed matter physics.
Nearly massless Dirac fermions and strong Zeeman splitting in the nodal-line semimetal ZrSiS probed by de Haas--van Alphen quantum oscillations · Introduction · 0.96
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