Electron-polaron—electron-polaron bound states in mass-gap graphene-like planar quantum electrodynamics: s-wave bipolarons

Cima, O.M. Del; Miranda, E.S.

doi:10.1140/epjb/e2018-90252-0

Cited by 16 publications

(16 citation statements)

References 51 publications

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“…Equation (22) is obtained by dimensional reduction of the source which describes a Dirac string in 3 + 1 dimensions [54][55][56][57][58] lying along the axis (x 1 , x 2 , x 3 ) = (a 1 , x 3 ), parallel to the 3-axis, with internal magnetic flux . So, from now on, we shall call the source (22) as Dirac point.…”

Section: Point-like Sources For the Maxwell-chern-simons Fieldmentioning

confidence: 99%

“…we can rewrite the source (22) in the compact form J μ (D) (x) = z × K (x). Noticing that the vector (25) resembles the vortex Hall current which produces magnetic monopole-type fields in topological insulators, we could conjecture if the Dirac source would not be related to the vortex Hall current.…”

Section: Point-like Sources For the Maxwell-chern-simons Fieldmentioning

confidence: 99%

“…Theoretical aspects of Maxwell-Chern-Simons electrodynamics have been investigated in Casimir effect [4][5][6][7][8][9], quantum dissipation of harmonic systems [10], quantum electrodynamics (QED 3 ) [11][12][13][14][15], dynamical mass generation [16,17], condensed matter physics (see, for instance, Ref. [18] and references therein), description of graphene properties [19][20][21][22][23][24], noncommutativity [25][26][27][28], strings theory [29], dynamics of vortices [30,31], and with a planar boundary [32][33][34][35][36], to mention just a few. In fact, there is a vast literature concerning this model.…”

Section: Introductionmentioning

confidence: 99%

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New point-like sources and a conducting surface in Maxwell–Chern–Simons electrodynamics

Borges¹,

Ribeiro²,

Oliveira³

et al. 2020

Eur. Phys. J. C

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We investigate some aspects of the Maxwell-Chern-Simons electrodynamics focusing on physical effects produced by the presence of stationary sources and a perfectly conducting plate (mirror). Specifically, in addition to point charges, we propose two new types of point-like sources called topological source and Dirac point, and we also consider physical effects in various configurations that involve them. We show that the Dirac point is the source of the vortex field configurations. The propagator of the gauge field due to the presence of a conducting plate and the interaction forces between the plate and point-like sources are computed. It is shown that the image method is valid for the point-like charges as well as for Dirac points. For the topological source we show that the image method is not valid and the symmetry of spatial refection on the mirror is broken. In all setups considered, it is shown that the topological source leads to the emergence of torques.PACS numbers: I. INTRODUCTIONPlanar models in Quantum Field Theory have several interesting features, both theoretical and experimental. We can mention, for instance, the change in the fermions behavior in comparison with the standard classical and quantum electrodynamics [1]. One of the most important class of models of this kind is the so called Maxwell-Chern-Simons electrodynamics [2], or Abelian topological massive gauge theory [3], which is relevant because it is simultaneously massive and gauge invariant. Theoretical aspects of Maxwell-Chern-Simons electrodynamics have been investigated in Casimir effect [4][5][6][7][8][9], quantum dissipation of harmonic systems [10], quantum electrodynamics (QED 3 ) [11-15], dynamical mass generation [16,17], condensed matter physics (see, for instance, Ref.[24] and references therein), description of graphene properties [18][19][20][21][22][23], noncommutativity [25-28], strings theory [29], dynamics of vortices [30,31], and with a planar boundary [32][33][34][35][36], to mention just a few. In fact, there is a vast literature concerning this model.There is also a generalization of the Chern-Simos electrodynamics in 3 + 1 dimensions, the so called Carroll-Field-Jackiw model [37], which exhibits Lorentz symmetry breaking and whose corresponding electrostatics and magnetostatics has been studied thoroughly in reference [38], as well as the Casimir Effect, in references [39,40]. Another coupling involving the dual gauge field strength tensor in 3 + 1 dimensions is the so called axion θ-electrodynamics, which can be used to describe insulators with boundaries [41][42][43][44].In the context of Casimir Effect, in 3 + 1 dimensions, Chern-Simons surfaces can also be used to obtain Casimir repulsion setups with planar symmetry [45]. In higher dimensions, the Casimir force has been studied in Randall-Sundrum models [46], which can be interpreted as a kind of ground state for Chern-Simons gravity [47].Regarding the Maxwell-Chern-Simons electrodynamics, there are two interesting questions no yet explored in the literature, ...

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Section: Point-like Sources For the Maxwell-chern-simons Fieldmentioning

confidence: 99%

Section: Point-like Sources For the Maxwell-chern-simons Fieldmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

New point-like sources and a conducting surface in Maxwell–Chern–Simons electrodynamics

Borges¹,

Ribeiro²,

Oliveira³

et al. 2020

Eur. Phys. J. C

View full text Add to dashboard Cite

show abstract

“…Nevertheless, drawing attention to (40) it takes in evidence about the possibility of attractive electron-polaron-electron-polaron interaction in s-wave state (|K + |K ) provided g 2 > e 2 . Notwithstanding, in spite of attractive potential be a necessary condition, although not a sufficient one, for the existence of s-wave (K-K ) massless bipolarons bound states, it still remains to verify relativistic conditions similar as the non relativistic massive case [17] -where the non relativistic s-wave attractive scattering potential [18] satisfies the Kato condition [19], the Newton-Setô and the Bargmann upper bounds [20,21] -in which s-wave (K-K ) massive bipolarons bound states might be arisen.…”

Section: The Møller Scattering: Electron-polaron-electron-polaronmentioning

confidence: 99%

On the electron-polaron--electron-polaron scattering and Landau levels in pristine graphene-like quantum electrodynamics

De Lima,

Del Cima,

Miranda

2019

Preprint

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The parity-preserving U (1) × U (1) massless QED3 is proposed as a pristine graphene-like planar quantum electrodynamics model. The spectrum content, the degrees of freedom, spin, masses and charges of the quasiparticles (electron-polaron, hole-polaron, photon and Néel quasiparticles) which emerge from the model are discussed. The four-fold broken degeneracy of the Landau levels, similar as the one experimentally observed in pristine graphene submitted to high applied external magnetic fields, is obtained. Furthermore, the model exhibits zero-energy Landau level indicating a kind of anomalous quantum Hall effect. The electron-polaron-electron-polaron scattering potentials in sand p-wave states mediated by photon and Néel quasiparticles are computed and analyzed. Finally, the model foresees that two electron-polarons (s-wave state) belonging to inequivalent K and K points in the Brillouin zone might exhibit attractive interaction, while two electron-polarons (p-wave state) lying both either in K or in K points experience repulsive interaction.

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“…The aim of the present paper is to discuss the quantum dynamics of a relativistic massless charged fermions in (2+1) dimensional space-time, in the context of Dirac wave mechanics. We shall follow a strictly quantum-mechanical approach [1,2,[4][5][6]12,17,18,37,[41][42][43], and not the full quantum field theoretic one [7][8][9][10][11][44][45][46] which would take into account processes such as pair production and the possibility of e − e − bound states [46].…”

Section: Introductionmentioning

confidence: 99%

Quantum charged spinning massless particles in 2 + 1 dimensions

et al. 2019

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Motivated by the conduction properties of graphene discovered and studied in the last decades, we consider the quantum dynamics of a massless, charged, spin 1/2 relativistic particle in three dimensional space-time, in the presence of an electrostatic field in various configurations such as step or barrier potentials and generalizations of them. The field is taken as parallel to the y coordinate axis and vanishing outside of a band parallel to the x axis. The classical theory is reviewed, together with its canonical quantization leading to the Dirac equation for a 2-component spinor. Stationary solutions are numerically found for each of the field configurations considered, from which we calculate the mean quantum trajectories of the particle and compare them with the corresponding classical trajectories, the latter showing a classical version of the Klein phenomenon. Transmission and reflection probabilities are also calculated, confirming the Klein phenomenon.

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Electron-polaron—electron-polaron bound states in mass-gap graphene-like planar quantum electrodynamics: s-wave bipolarons

Cited by 16 publications

References 51 publications

New point-like sources and a conducting surface in Maxwell–Chern–Simons electrodynamics

New point-like sources and a conducting surface in Maxwell–Chern–Simons electrodynamics

On the electron-polaron--electron-polaron scattering and Landau levels in pristine graphene-like quantum electrodynamics

Quantum charged spinning massless particles in 2 + 1 dimensions

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