Casimir effect and graphene: Tunability, scalability, Casimir rotor

Martı́nez, J. C.; Chen, Xudong; Jalil, M. B. A.

doi:10.1063/1.5007787

Cited by 7 publications

(2 citation statements)

References 38 publications

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“…(z). Applying (32) for separate terms in (27), we can see that the part in the FC coming from the first term in the right-hand side of (32), denoted here by ψψ 0 , does not depend on a and is presented as…”

Section: Fermion Condensatementioning

confidence: 99%

Casimir Effect for Fermion Condensate in Conical Rings

2021

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The fermion condensate (FC) is investigated for a (2+1)-dimensional massive fermionic field confined on a truncated cone with an arbitrary planar angle deficit and threaded by a magnetic flux. Different combinations of the boundary conditions are imposed on the edges of the cone. They include the bag boundary condition as a special case. By using the generalized Abel-Plana-type summation formula for the series over the eigenvalues of the radial quantum number, the edge-induced contributions in the FC are explicitly extracted. The FC is an even periodic function of the magnetic flux with the period equal to the flux quantum. Depending on the boundary conditions, the condensate can be either positive or negative. For a massless field the FC in the boundary-free conical geometry vanishes and the nonzero contributions are purely edge-induced effects. This provides a mechanism for time-reversal symmetry breaking in the absence of magnetic fields. Combining the results for the fields corresponding to two inequivalent irreducible representations of the Clifford algebra, the FC is investigated in the parity and time-reversal symmetric fermionic models and applications are discussed for graphitic cones.

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Section: Fermion Condensatementioning

confidence: 99%

Casimir Effect for Fermion Condensate in Conical Rings

2021

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“…β j (z). Applying (32) for separate terms in (27), we can see that the part in the FC coming from the first term in the right-hand side of (32), denoted here by ψψ 0 , does not depend on a and is presented as…”

Section: Fermion Condensatementioning

confidence: 99%

Casimir effect for fermion condensate in conical rings

Saharian,

Petrosyan,

Hovhannisyan

2021

Preprint

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The fermion condensate (FC) is investigated for a (2+1)-dimensional massive fermionic field confined on a truncated cone with an arbitrary planar angle deficit and threaded by a magnetic flux. Different combinations of the boundary conditions are imposed on the edges of the cone. They include the bag boundary condition as a special case. By using the generalized Abel-Planatype summation formula for the series over the eigenvalues of the radial quantum number, the edge-induced contributions in the FC are explicitly extracted. The FC is an even periodic function of the magnetic flux with the period equal to the flux quantum. Depending on the boundary conditions, the condensate can be either positive or negative. For a massless field the FC in the boundary-free conical geometry vanishes and the nonzero contributions are purely edge-induced effects. This provides a mechanism for time-reversal symmetry breaking in the absence of magnetic fields. Combining the results for the fields corresponding to two inequivalent irreducible representations of the Clifford algebra, the FC is investigated in the parity and time-reversal symmetric fermionic models and applications are discussed for graphitic cones.

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Competition-induced sign reversal of Casimir-Lifshitz torque: Investigation of topological nodal-line semimetals

Chen

Guo

2023

Phys. Rev. B

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Casimir effect and graphene: Tunability, scalability, Casimir rotor

Cited by 7 publications

References 38 publications

Casimir Effect for Fermion Condensate in Conical Rings

Casimir Effect for Fermion Condensate in Conical Rings

Casimir effect for fermion condensate in conical rings

Competition-induced sign reversal of Casimir-Lifshitz torque: Investigation of topological nodal-line semimetals

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