Quantum transport of massless Dirac fermions through wormhole-shaped curved graphene in presence of constant axial magnetic flux
Abstract In this work, we have studied the spin-dependent quantum transport of charged fermion on $$(2+1)$$ ( 2 + 1 ) -dimensional spacetime, whose spatial part is described by a wormhole-type geometry in the presence of constant axial magnetic flux. Choosing the solutions of the Dirac equation asso...
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Nature Portfolio
2024-04-01
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Series: | Scientific Reports |
Online Access: | https://doi.org/10.1038/s41598-024-57718-3 |
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author | F. Naderi K. Hasanirokh |
author_facet | F. Naderi K. Hasanirokh |
author_sort | F. Naderi |
collection | DOAJ |
description | Abstract In this work, we have studied the spin-dependent quantum transport of charged fermion on $$(2+1)$$ ( 2 + 1 ) -dimensional spacetime, whose spatial part is described by a wormhole-type geometry in the presence of constant axial magnetic flux. Choosing the solutions of the Dirac equation associated with real energy and momentum, we explored the spin-dependent transmission probabilities and giant magnetoresistance (GMR) through a single layer of wormhole graphene with an external magnetic field, using the transition matrix (T-Matrix) approach. The spin-up and spin-down components within the A and B sublattices of graphene in the matrix of $$4\times 1$$ 4 × 1 wave function are coupled to each other due to the wormhole structure and the magnetic field. We have found that transport properties strongly depend on the magnetic field, incident energy, and geometric parameters of the system. We observed that the transmission probability increases as the radius of the wormhole increases, and the length of the wormhole decreases. The higher energies lead to a decrease in the transmission probabilities of particles. Furthermore, we observed that the probability of the spin-flip effect is almost larger than that of the non-spin-flip effect, illustrating that electrons lose their spins during transmission. These findings highlight the complex and interesting behavior of wormhole graphene in the presence of external magnetic fields and suggest that these nano structures can have potential applications in electronic and spintronic devices. |
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issn | 2045-2322 |
language | English |
last_indexed | 2024-04-24T12:39:00Z |
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spelling | doaj.art-0a13958e1dac4c10b9cff75565811cb92024-04-07T11:19:31ZengNature PortfolioScientific Reports2045-23222024-04-0114111410.1038/s41598-024-57718-3Quantum transport of massless Dirac fermions through wormhole-shaped curved graphene in presence of constant axial magnetic fluxF. Naderi0K. Hasanirokh1Young Researchers and Elite Club, Marand Branch, Islamic Azad UniversityDepartment of Physics, Faculty of Basic Sciences, Azarbaijan Shahid Madani UniversityAbstract In this work, we have studied the spin-dependent quantum transport of charged fermion on $$(2+1)$$ ( 2 + 1 ) -dimensional spacetime, whose spatial part is described by a wormhole-type geometry in the presence of constant axial magnetic flux. Choosing the solutions of the Dirac equation associated with real energy and momentum, we explored the spin-dependent transmission probabilities and giant magnetoresistance (GMR) through a single layer of wormhole graphene with an external magnetic field, using the transition matrix (T-Matrix) approach. The spin-up and spin-down components within the A and B sublattices of graphene in the matrix of $$4\times 1$$ 4 × 1 wave function are coupled to each other due to the wormhole structure and the magnetic field. We have found that transport properties strongly depend on the magnetic field, incident energy, and geometric parameters of the system. We observed that the transmission probability increases as the radius of the wormhole increases, and the length of the wormhole decreases. The higher energies lead to a decrease in the transmission probabilities of particles. Furthermore, we observed that the probability of the spin-flip effect is almost larger than that of the non-spin-flip effect, illustrating that electrons lose their spins during transmission. These findings highlight the complex and interesting behavior of wormhole graphene in the presence of external magnetic fields and suggest that these nano structures can have potential applications in electronic and spintronic devices.https://doi.org/10.1038/s41598-024-57718-3 |
spellingShingle | F. Naderi K. Hasanirokh Quantum transport of massless Dirac fermions through wormhole-shaped curved graphene in presence of constant axial magnetic flux Scientific Reports |
title | Quantum transport of massless Dirac fermions through wormhole-shaped curved graphene in presence of constant axial magnetic flux |
title_full | Quantum transport of massless Dirac fermions through wormhole-shaped curved graphene in presence of constant axial magnetic flux |
title_fullStr | Quantum transport of massless Dirac fermions through wormhole-shaped curved graphene in presence of constant axial magnetic flux |
title_full_unstemmed | Quantum transport of massless Dirac fermions through wormhole-shaped curved graphene in presence of constant axial magnetic flux |
title_short | Quantum transport of massless Dirac fermions through wormhole-shaped curved graphene in presence of constant axial magnetic flux |
title_sort | quantum transport of massless dirac fermions through wormhole shaped curved graphene in presence of constant axial magnetic flux |
url | https://doi.org/10.1038/s41598-024-57718-3 |
work_keys_str_mv | AT fnaderi quantumtransportofmasslessdiracfermionsthroughwormholeshapedcurvedgrapheneinpresenceofconstantaxialmagneticflux AT khasanirokh quantumtransportofmasslessdiracfermionsthroughwormholeshapedcurvedgrapheneinpresenceofconstantaxialmagneticflux |