Geometry-Induced Chiral Currents in a Mesoscopic Helicoidal Quantum Well
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908437836726272 |
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| author | Silva, Edilberto O. |
| author_facet | Silva, Edilberto O. |
| contents | We introduce a mesoscopic quantum well whose confinement and chirality emerge solely from the intrinsic torsion of a finite helicoidal metric. This purely geometric construction requires no external gates or fields: the metric itself induces both a harmonic radial potential and a torsion-driven Zeeman term that breaks the $m \leftrightarrow -m$ degeneracy. By imposing hard-wall boundary conditions at $z = \pm L/2$, we quantize the axial motion and obtain a genuinely zero-dimensional helicoidal quantum dot. An exact analytic solution reveals an energy spectrum with chiral splitting linear in both the torsion parameter $Ω$ and the axial quantum number $n_z$. For realistic InAs nanoroll parameters ($L = 100$ nm, $Ω= 5\times10^{6} \mathrm{m^{-1}}$), this geometric effect results in a measurable splitting of $\sim 0.5$ meV. We propose three viable experimental platforms, ultracold atoms in optical traps, femtosecond-written photonic waveguides, and strain-engineered semiconductor nanorolls, where this torsion-induced phenomenon should be accessible with current technology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_05015 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Geometry-Induced Chiral Currents in a Mesoscopic Helicoidal Quantum Well Silva, Edilberto O. Mesoscale and Nanoscale Physics Quantum Physics We introduce a mesoscopic quantum well whose confinement and chirality emerge solely from the intrinsic torsion of a finite helicoidal metric. This purely geometric construction requires no external gates or fields: the metric itself induces both a harmonic radial potential and a torsion-driven Zeeman term that breaks the $m \leftrightarrow -m$ degeneracy. By imposing hard-wall boundary conditions at $z = \pm L/2$, we quantize the axial motion and obtain a genuinely zero-dimensional helicoidal quantum dot. An exact analytic solution reveals an energy spectrum with chiral splitting linear in both the torsion parameter $Ω$ and the axial quantum number $n_z$. For realistic InAs nanoroll parameters ($L = 100$ nm, $Ω= 5\times10^{6} \mathrm{m^{-1}}$), this geometric effect results in a measurable splitting of $\sim 0.5$ meV. We propose three viable experimental platforms, ultracold atoms in optical traps, femtosecond-written photonic waveguides, and strain-engineered semiconductor nanorolls, where this torsion-induced phenomenon should be accessible with current technology. |
| title | Geometry-Induced Chiral Currents in a Mesoscopic Helicoidal Quantum Well |
| topic | Mesoscale and Nanoscale Physics Quantum Physics |
| url | https://arxiv.org/abs/2507.05015 |