Electromagnetic description of three-dimensional time-reversal invariant ponderable topological insulators

Martín-Ruiz, A.; Cambiaso, M.; Urrutia, L. F.

doi:10.1103/physrevd.94.085019

Cited by 32 publications

(43 citation statements)

References 35 publications

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“…In the electromagnetic field configurations for the pointlike particle (48) and for the Dirac point (45), we have a stronger contribution from the electric field in comparison with the magnetic one. The analysis for the topological source, with the fields (44) and (43), is more difficult, but for the specific case V μ = V 0 (1, 1, 0) the electric field also dominates in comparison with the magnetic one. This fact is expected for the case where we have two electric charges, but it is not expected for a setup with two Dirac points.…”

Section: Electromagnetic Fieldmentioning

confidence: 99%

“…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].…”

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

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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: Electromagnetic Fieldmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

“…However, the same result can also be obtained using far superior techniques, such as the SL(2, Z) electric-magnetic duality group of TIs [19] and Green's function techniques [20][21][22][23]. In short, let us consider the geometry of fig.…”

Section: Electromagnetic Response Of Tismentioning

confidence: 99%

Dynamics of a Rydberg hydrogen atom near a topologically insulating surface

Martín-Ruiz

Chan-López

2017

EPL

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-Interactions of atoms and molecules with surfaces PACS 05.45.-a -Nonlinear dynamical systems and chaos PACS 11.15.Yc -Chern-Simons gauge theory Abstract -We investigate the classical dynamics of a Rydberg hydrogen atom near the surface of a planar topological insulator. The system is described by a Hamiltonian consisting of the freehydrogen part and the hydrogen-surface potential. The latter includes the interactions between the electron and both image electric charges and image magnetic monopoles. Owing to the axial symmetry, the z component of angular momentum lz is conserved. Here we consider the lz = 0 case. The structure of the phase space is explored extensively by means of numerical techniques and Poincaré surfaces of section for the recently discovered topological insulator TlBiSe2. The phase space of the system is separated into regions of vibrational and rotational motion. We show that vibrational-rotational-vibrational type transitions can be tuned with the topological magnetoelectric polarizability.

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“…31-33 the solutions of Eqs. (33) and (34) are explicitly constructed in a step by step fashion to be illustrated in the next section.…”

Section: The Green's Function Methods In a θ-Vacuummentioning

confidence: 99%

The magnetoelectric coupling in electrodynamics

Martín-Ruiz

Cambiaso

Urrutia

2019

Int. J. Mod. Phys. A

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We explore a model akin to axion electrodynamics in which the axion field θ(t, x) rather than being dynamical is a piecewise constant effective parameter θ encoding the microscopic properties of the medium inasmuch as its permittivity or permeability, defining what we call a θ-medium. This model describes a large class of phenomena, among which we highlight the electromagnetic response of materials with topological order, like topological insulators for example. We pursue a Green's function formulation of what amounts to typical boundary-value problems of θ-media, when external sources or boundary conditions are given. As an illustration of our methods, which we have also extended to ponderable media, we interpret the constant θ as a novel topological property of vacuum, a so called θ-vacuum, and restrict our discussion to the cases where the permittivity and the permeability of the media is one. In this way we concentrate upon the effects of the additional θ coupling which induce remarkable magnetoelectric effects. The issue of boundary conditions for electromagnetic radiation is crucial for the occurrence of the Casimir effect, therefore we apply the methods described above as an alternative way to approach the modifications to the Casimir effect by the inclusion of topological insulators.

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Electromagnetic description of three-dimensional time-reversal invariant ponderable topological insulators

Cited by 32 publications

References 35 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

Dynamics of a Rydberg hydrogen atom near a topologically insulating surface

The magnetoelectric coupling in electrodynamics

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