On the (im)possibility of Casimir repulsion between Chern-Simons surfaces

Vassilevich, D. V.

doi:10.1142/s0217732320400179

Cited by 4 publications

(3 citation statements)

References 43 publications

(43 reference statements)

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“…where C 1 , C 2 are the Chern numbers of the two CIs. Later studies [32][33][34] have shown that in the case of planar Chern-Simons materials, forward and backward electromagnetic field scattering must be considered explicitly, which modifies the Casimir energy to…”

Section: Nontrivial Topology In Materialsmentioning

confidence: 99%

“…References [32][33][34] have further examined this problem showing that the behavior shown in Equations ( 4) and ( 5) may be overtaken by making the longitudinal conductivity of the interacting materials more prominent or by considering shorter separations, for which the interaction is similar to the one for two regular dielectrics. In the case of dielectric substrates covered with Chern-Simons layers, however, a repulsive Casimir regime is observed at shorter separations, while at larger distances, the interaction resembles one of ordinary dielectrics [35,36].…”

Section: Nontrivial Topology In Materialsmentioning

confidence: 99%

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Perspective on Some Recent and Future Developments in Casimir Interactions

2020

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Here, we present a critical review of recent developments in Casimir physics motivated by discoveries of novel materials. Specifically, topologically nontrivial properties of the graphene family, Chern and topological insulators, and Weyl semimetals have diverse manifestations in the distance dependence, presence of fundamental constants, magnitude, and sign of the Casimir interaction. Limited studies of the role of nonlinear optical properties in the interaction are also reviewed. We show that, since many new materials have greatly enhanced the nonlinear optical response, new efficient pathways for investigation of the characteristic regimes of the Casimir force need to be explored, which are expected to lead to new discoveries. Recent progress in the dynamical Casimir effect is also reviewed and we argue that nonlinear media can open up new directions in this field as well.

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Section: Nontrivial Topology In Materialsmentioning

confidence: 99%

Section: Nontrivial Topology In Materialsmentioning

confidence: 99%

Perspective on Some Recent and Future Developments in Casimir Interactions

2020

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“…Manifolds with boundaries 4 were considered in the context of the parity anomaly (and the η-invariant) in [34] upon the APS boundary conditions and in [35][36][37][38] upon the local bag boundary conditions. Nowadays these parity-odd effects receive significant attention in condensed matter physics [39][40][41][42][43] as well as in various areas of QFT and mathematical physics [44][45][46][47][48].…”

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confidence: 99%

Remark on the synergy between the heat kernel techniques and the parity anomaly

Kurkov

Leone

2019

Int. J. Geom. Methods Mod. Phys.

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In this paper, we demonstrate that not only the heat kernel techniques are useful for computation of the parity anomaly, but also the parity anomaly turns out to be a powerful mean in studying the heat kernel. We show that the gravitational parity anomaly on 4D manifolds with boundaries can be calculated using the general structure of the heat kernel coefficient a 5 for mixed boundary conditions, keeping all the weights of various geometric invariants as unknown numbers. The symmetry properties of the η-invariant allow to fix all the relevant unknowns. As a byproduct of this calculation we get an efficient and independent crosscheck (and confirmation) of the correction of the general structure of a 5 for mixed boundary conditions, previously suggested in Ref.

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