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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.11564 |
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| _version_ | 1866909526546972672 |
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| author | Vela, Alvaro Donís Beenakker, Carlo W. J. |
| author_facet | Vela, Alvaro Donís Beenakker, Carlo W. J. |
| contents | The stationary Dirac equation $(p\cdotσ)ψ=Eψ$, confined to a two-dimensional (2D) region, supports states propagating along the boundary and decaying exponentially away from the boundary. These edge states appear on the 2D surface of a 3D topological insulator, where massless fermionic quasiparticles are governed by the Dirac equation and confined by a magnetic insulator. We show how the continuous system can be simulated on a 2D square lattice, without running into the fermion-doubling obstruction. For that purpose we adapt the existing tangent fermion discretization on an unbounded lattice to account for a lattice termination that simulates the magnetic insulator interface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_11564 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Single-cone Dirac edge states on a lattice Vela, Alvaro Donís Beenakker, Carlo W. J. Mesoscale and Nanoscale Physics The stationary Dirac equation $(p\cdotσ)ψ=Eψ$, confined to a two-dimensional (2D) region, supports states propagating along the boundary and decaying exponentially away from the boundary. These edge states appear on the 2D surface of a 3D topological insulator, where massless fermionic quasiparticles are governed by the Dirac equation and confined by a magnetic insulator. We show how the continuous system can be simulated on a 2D square lattice, without running into the fermion-doubling obstruction. For that purpose we adapt the existing tangent fermion discretization on an unbounded lattice to account for a lattice termination that simulates the magnetic insulator interface. |
| title | Single-cone Dirac edge states on a lattice |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2411.11564 |