Long-range Coulomb interaction in nodal-ring semimetals

Huh, Young Eun; Moon, Eun-Gook; Kim, Yong Baek

doi:10.1103/physrevb.93.035138

Cited by 170 publications

(153 citation statements)

References 43 publications

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“…There have been several predictions of novel phenomena in Nodal line/ ring systems. In nodal ring systems, long-range coulomb interactions are expected due to a vanishing density of states at the E F and partially screened Coulomb interaction [59]. In addition, the appearance of zero modes due to non-dispersive Landau levels is predicted to exist inside the nodal ring [60].…”

Section: Introductionmentioning

confidence: 99%

Symmetry demanded topological nodal-line materials

Yang

Derunova

et al. 2018

Advances in Physics: X

204

157

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The realization of Dirac and Weyl physics in solids has made topological materials one of the main focuses of condensed matter physics. Recently, the topic of topological nodal line semimetals, materials in which Dirac or Weyl-like crossings along special lines in momentum space create either a closed ring or line of degeneracies, rather than discrete points, has become a hot topic in topological quantum matter. Here, we review the experimentally confirmed and theoretically predicted topological nodal line semimetals, focusing in particular on the symmetry protection mechanisms of the nodal lines in various materials. Three different mechanisms: a combination of inversion and time-reversal symmetry, mirror reflection symmetry, and nonsymmorphic symmetry and their robustness under the effect of spin orbit coupling are discussed. We also present a new Weyl nodal line material, the Te-square net compound KCu 2 EuTe 4 , which has several Weyl nodal lines including one extremely close to the Fermi level (<30 meV below E F ). Finally, we discuss potential experimental signatures for observing exotic properties of nodal line physics. ARTICLE HISTORY

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Section: Introductionmentioning

confidence: 99%

Symmetry demanded topological nodal-line materials

Yang

Derunova

et al. 2018

Advances in Physics: X

204

157

View full text Add to dashboard Cite

show abstract

“…RG method has recently been applied to study the influence of Coulomb interaction in several semimetals which are distinguished mainly by the fermion dispersions [34,35,[48][49][50][51]. In a 3D anisotropic Weyl semimetal where the spectrum displays quadratic dependence on momentum in one direction but linear dependence on other components of momenta, Yang et al supposed a shell of (bΛ, Λ) for the integration over the quadratic component of momenta [48].…”

Section: B Non-fermi Liquid Behaviors At Semimetal-insulator Qcpmentioning

confidence: 99%

“…It is interesting to notice that recent ARPES experiments have discovered NFL behavior in a 3D quadratic semimetal material Pr 2 Ir 2 O 7 [64]. Moreover, in a 3D anisotropic Weyl semimetal [48] and a 3D nodal-line semimetal [51], the FL description is robust because the Coulomb interaction is irrelevant.…”

Section: Introductionmentioning

confidence: 99%

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Excitonic pairing and insulating transition in two-dimensional semi-Dirac semimetals

Wang¹,

Liu²,

Zhang³

2017

Phys. Rev. B

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A sufficiently strong long-range Coulomb interaction can induce excitonic pairing in gapless Dirac semimetals, which generates a finite gap and drives semimetal-insulator quantum phase transition. This phenomenon is in close analogy to dynamical chiral symmetry breaking in high energy physics. In most realistic Dirac semimetals, including suspended graphene, Coulomb interaction is too weak to open an excitonic gap. The Coulomb interaction plays a more important role at low energies in a two-dimensional semi-Dirac semimetal, in which the fermion spectrum is linear in one component of momenta and quadratic in the other, than a Dirac semimetal, and indeed leads to breakdown of Fermi liquid theory. We study dynamical excitonic gap generation in a two-dimensional semi-Dirac semimetal by solving the Dyson-Schwinger equation, and show that a moderately strong Coulomb interaction suffices to induce excitonic pairing. Additional short-range four-fermion coupling tends to promote excitonic pairing. Among the available semi-Dirac semimetals, we find that TiO2/VO2 nanostructure provides a promising candidate for the realization of excitonic insulator. We also apply the renormalziation group method to analyze the strong coupling between the massless semi-Dirac fermions and the quantum critical fluctuation of excitonic order parameter at the semimetal-insulator quantum critical point, and reveal non-Fermi liquid behaviors of semi-Dirac fermions.

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“…1(a), shift toward a weaker strength of interactions (such as U and V ) in particular when the dielectric constant ( 0 ) is small. But, a complete analysis on the interplay of a proposed non-Fermi liquid [6] and BSPs in the presence of both long-and short-range components Coulomb interactions demands a separate investigation [42].…”

Section: Introductionmentioning

confidence: 99%

Interacting nodal-line semimetal: Proximity effect and spontaneous symmetry breaking

Roy

2017

Phys. Rev. B

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Effects of short-range electronic interactions in a three-dimensional line-node semimetal that supports linearly dispersing quasiparticles around an isolated loop in the Brillouin zone are discussed. Due to vanishing density of states ( (E) ∼ |E|) various orderings in the bulk of the system, such as the antiferromagnet and charge-density-wave, set in for sufficiently strong onsite (U ) and nearestneighbor (V ) repulsions, respectively. While onset of these two orderings from the semimetallic phase takes place through continuous quantum phase transitions, a first-order transition separates two ordered phases. By contrast, topologically protected drumhead shaped surface states can undergo charge or spin orderings, depending on relative strength of U and V , even when they are sufficiently weak. Such surface orderings as well as weak long-range Coulomb interaction can be conducive to spontaneous symmetry breaking in the bulk for weaker interactions. We numerically establish such proximity effect driven spontaneous symmetry breaking in the bulk for subcritical strength of interactions due to flat surface band and also discuss possible superconducting orders in this system.

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Long-range Coulomb interaction in nodal-ring semimetals

Cited by 170 publications

References 43 publications

Symmetry demanded topological nodal-line materials

Symmetry demanded topological nodal-line materials

Excitonic pairing and insulating transition in two-dimensional semi-Dirac semimetals

Interacting nodal-line semimetal: Proximity effect and spontaneous symmetry breaking

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