Existence and topological stability of Fermi points in multilayered graphene

Mañes, Jordi; Guinea, F.; Vozmediano, María A. H.

doi:10.1103/physrevb.75.155424

Cited by 262 publications

(282 citation statements)

References 39 publications

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“…This cancellation is a direct result of the Berry phase associated with the Dirac points in graphene: the vanishing of ͑k͒ is due to topological properties of the honeycomb lattice as was discussed in Ref. 33.…”

Section: Site Dependence Of Hybridization Matrix Elementsmentioning

confidence: 99%

Theory of Fano resonances in graphene: The influence of orbital and structural symmetries on STM spectra

et al. 2010

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We theoretically investigate Fano factors arising in local spectroscopy of impurity resonances in graphene. It is demonstrated that Fano line shapes can strongly differ from the antiresonances usually found on metal surfaces. Graphene's highly symmetric Fermi points make this effect particularly sensitive to the detailed atomistic structure and orbital symmetries of the impurity. After a model discussion based on an Anderson impurity coupled to an electron bath with linearly vanishing density of states, we present first-principles calculations of Co adatoms on graphene. For Co above the center of a graphene hexagon, we find that the two-dimensional E 1 representation made of d xz , d yz orbitals is likely responsible for the hybridization and ultimately Kondo screening for cobalt on graphene. Anomalously large Fano q factors depending strongly on the orbitals involved are obtained. For a resonant s-wave impurity, a similarly strong adsorption site dependence of the q factor is demonstrated. These anomalies are striking examples of quantum-mechanical interference related to the Berry phase inherent to the graphene band structure.

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Section: Site Dependence Of Hybridization Matrix Elementsmentioning

confidence: 99%

Theory of Fano resonances in graphene: The influence of orbital and structural symmetries on STM spectra

et al. 2010

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“…It is well known that Weyl points have topological properties, [16][17][18] and no fine-tunning or symmetries are usually necessary for their existence. But symmetry, while not necessary, can sometimes be sufficient for the existence of Weyl points.…”

Section: Introductionmentioning

confidence: 99%

Existence of bulk chiral fermions and crystal symmetry

2012

Self Cite

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We consider the existence of bulk chiral fermions around points of symmetry in the Brillouin zone of nonmagnetic 3D crystals with negligible spin-orbit interactions. We use group theory to show that this is possible, but only for a reduced number of space groups and points of symmetry that we tabulate. Moreover, we show that for a handful of space groups the existence of bulk chiral fermions is not only possible but unavoidable, irrespective of the concrete crystal structure. Thus our tables can be used to look for bulk chiral fermions in a specific class of systems, namely that of nonmagnetic 3D crystals with sufficiently weak spin-orbit coupling. We also discuss the effects of spin-orbit interactions and possible extensions of our approach to Weyl semimetals, crystals with magnetic order, and systems with Dirac points with pseudospin 1 and 3/2. A simple tight-binding model is used to illustrate some of the issues.

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“…Explicit examples are tightbinding models on checkerboard and kagome lattices, respectively [9,13]. Topological quadratic Fermi points also appear in physical systems such as bilayer graphene [14][15][16][17][18][19], photonic crystals [20], oxide heterostructures [21], and surface state of topological insulators [22].…”

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confidence: 99%

Spontaneous Quantum Hall Effect via a Thermally Induced Quadratic Fermi Point

Chern

Batista

2012

Phys. Rev. Lett.

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Gapless electronic systems containing topologically nontrivial Fermi points are sources of various topological insulators. Whereas most of these special band-crossing points are built in the electronic structure of the non-interacting lattice models, we show that a quadratic Fermi point characterized by a non-zero winding number emerges with a collinear triple-Q spin-density-wave state that arises from a perfectly nested but topologically trivial Fermi surface. We obtain a universal low-energy Hamiltonian for the quadratic Fermi point and show that such collinear orderings are unstable against the onset of scalar spin chirality that opens a gap and induces a spontaneous quantum Hall insulator as the temperature tends to zero.

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Existence and topological stability of Fermi points in multilayered graphene

Cited by 262 publications

References 39 publications

Theory of Fano resonances in graphene: The influence of orbital and structural symmetries on STM spectra

Theory of Fano resonances in graphene: The influence of orbital and structural symmetries on STM spectra

Existence of bulk chiral fermions and crystal symmetry

Spontaneous Quantum Hall Effect via a Thermally Induced Quadratic Fermi Point

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