Electronic properties of graphene with a topological defect

Sitenko, Yu. A.; Власій, Н. Д.

doi:10.1016/j.nuclphysb.2007.06.001

Cited by 77 publications

(92 citation statements)

References 34 publications

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“…At the apex of the graphitic cone the hexagon of the planar graphene lattice is replaced by a polygon having 6 − N c sites. The periodicity conditions for the combined bispinor = (ψ + , ψ − ) under the rotation around the cone apex are discussed in [76][77][78][79]. For even values of N c these conditions do not mix the spinors ψ + and ψ − , and we can apply the formulas given above.…”

Section: Expectation Values In Parity and Time-reversal Symmetric Modelsmentioning

confidence: 99%

Finite temperature fermion condensate, charge and current densities in a ( $$2+1$$ 2 + 1 )-dimensional conical space

et al. 2016

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We evaluate the fermion condensate and the expectation values of the charge and current densities for a massive fermionic field in (2 + 1)-dimensional conical spacetime with a magnetic flux located at the cone apex. The consideration is done for both irreducible representations of the Clifford algebra. The expectation values are decomposed into the vacuum expectation values and contributions coming from particles and antiparticles. All these contributions are periodic functions of the magnetic flux with the period equal to the flux quantum. Related to the non-invariance of the model under the parity and time-reversal transformations, the fermion condensate and the charge density have indefinite parity with respect to the change of the signs of the magnetic flux and chemical potential. The expectation value of the radial current density vanishes. The azimuthal current density is the same for both the irreducible representations of the Clifford algebra. It is an odd function of the magnetic flux and an even function of the chemical potential. The behavior of the expectation values in various asymptotic regions of the parameters are discussed in detail. In particular, we show that for points near the cone apex the vacuum parts dominate. For a massless field with zero chemical potential the fermion condensate and charge density vanish. Simple expressions are derived for the part in the total charge induced by the planar angle deficit and magnetic flux. Combining the results for separate irreducible representations, we also consider the fermion condensate, charge and current densities in parity and time-reversal symmetric models. Possible applications to graphitic nanocones are discussed. a

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Section: Expectation Values In Parity and Time-reversal Symmetric Modelsmentioning

confidence: 99%

Finite temperature fermion condensate, charge and current densities in a ( $$2+1$$ 2 + 1 )-dimensional conical space

et al. 2016

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“…Electronic properties of graphenes are described in a series of publications [32][33][34][35]. Electrons in graphene, obeying a linear dispersion relation, behave like massless relativistic particles or quantum billiard balls.…”

Section: Structure and Propertiesmentioning

confidence: 99%

Graphenes, One of the Hottest Areas in the Nanotechnology: Attention of Chemists is Needed

Kharissova¹,

Kharisov²

2008

TOICJ

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“…Furthermore, a gauge field theory also may have physics realization in honeycomb structures which present mesoscopic corrugations, whose possible influences on the electronic properties have been studied and modeled [8][9][10]. Topological defects such as disclinations are usually used to describe such corrugations on graphene lattices (see also Ref.…”

Section: Introductionmentioning

confidence: 99%

Fractional fermion charges induced by axial-vector and vector gauge potentials and parity anomaly in planar graphenelike structures

Obispo

Hott

2014

Phys. Rev. B

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We show that fermion charge fractionalization can take place in a recently proposed chiral gauge model for graphene even in the absence of Kekulé distortion in the graphene honeycomb lattice. In this model, electrons couple in a chiral way to a pseudomagnetic field with a vortex profile in such a way that it can be used to describe the influences of topological defects, such as disclinations, on the electronic states. We also extend the model by adding the coupling of fermions to an external magnetic field and show that the fermion charge can be fractionalized by means of only gauge potentials. It is shown that the chiral fermion charge can also have fractional value. We also relate the fractionalization of the fermion charge to the parity anomaly in an extended quantum electrodynamics, which involves vector and axial-vector gauge fields.

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Electronic properties of graphene with a topological defect

Cited by 77 publications

References 34 publications

Finite temperature fermion condensate, charge and current densities in a ( $$2+1$$ 2 + 1 )-dimensional conical space

Finite temperature fermion condensate, charge and current densities in a ( $$2+1$$ 2 + 1 )-dimensional conical space

Graphenes, One of the Hottest Areas in the Nanotechnology: Attention of Chemists is Needed

Fractional fermion charges induced by axial-vector and vector gauge potentials and parity anomaly in planar graphenelike structures

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