Bounds on Lorentz-violating parameters in magnetically confined 2D systems: A phenomenological approach
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912673972617216 |
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| author | Silva, Edilberto O. |
| author_facet | Silva, Edilberto O. |
| contents | We present a unified, SI-consistent framework to constrain minimal SME coefficients $a_μ$ and $b_μ$ using magnetically confined two-dimensional electron systems under a uniform magnetic field. Working in the nonrelativistic (Schrödinger--Pauli) limit with effective mass, we derive the radial problem for cylindrical geometries and identify how spatial components ($\mathbf a,\mathbf b$) reshape the effective potential, via $1/r$ and $r$ terms or spin-selective offsets, while scalar components ($a_0,b_0$) act through a global energy shift and a spin-momentum coupling. Phenomenological upper bounds follow from requiring LV-induced shifts to lie below typical spectroscopic resolutions: $|a_0|\lesssimδE$, $|b_z|\lesssimδE/\hbar$, and compact expressions for $|a_φ|$ and $|b_0|$ that expose their dependence on device scales ($r_0$, $B_0$, $μ$, $m$). Dimensional analysis clarifies that, in this regime, spatial $a_i$ carry momentum dimension and $b_i$ carry inverse-time/length dimensions, ensuring gauge-independent, unit-consistent reporting. Finite-difference eigenvalue calculations validate the scaling laws and illustrate spectral signatures across realistic parameter sets. The results show that scalar sectors (notably $a_0$) are tightly constrained by state-of-the-art $μ$eV-resolution probes, while spatial and axial sectors benefit from spin- and $m$-resolved spectroscopy and geometric leverage, providing a reproducible pathway to test Lorentz symmetry in condensed-matter platforms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_24301 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bounds on Lorentz-violating parameters in magnetically confined 2D systems: A phenomenological approach Silva, Edilberto O. Mesoscale and Nanoscale Physics Quantum Physics We present a unified, SI-consistent framework to constrain minimal SME coefficients $a_μ$ and $b_μ$ using magnetically confined two-dimensional electron systems under a uniform magnetic field. Working in the nonrelativistic (Schrödinger--Pauli) limit with effective mass, we derive the radial problem for cylindrical geometries and identify how spatial components ($\mathbf a,\mathbf b$) reshape the effective potential, via $1/r$ and $r$ terms or spin-selective offsets, while scalar components ($a_0,b_0$) act through a global energy shift and a spin-momentum coupling. Phenomenological upper bounds follow from requiring LV-induced shifts to lie below typical spectroscopic resolutions: $|a_0|\lesssimδE$, $|b_z|\lesssimδE/\hbar$, and compact expressions for $|a_φ|$ and $|b_0|$ that expose their dependence on device scales ($r_0$, $B_0$, $μ$, $m$). Dimensional analysis clarifies that, in this regime, spatial $a_i$ carry momentum dimension and $b_i$ carry inverse-time/length dimensions, ensuring gauge-independent, unit-consistent reporting. Finite-difference eigenvalue calculations validate the scaling laws and illustrate spectral signatures across realistic parameter sets. The results show that scalar sectors (notably $a_0$) are tightly constrained by state-of-the-art $μ$eV-resolution probes, while spatial and axial sectors benefit from spin- and $m$-resolved spectroscopy and geometric leverage, providing a reproducible pathway to test Lorentz symmetry in condensed-matter platforms. |
| title | Bounds on Lorentz-violating parameters in magnetically confined 2D systems: A phenomenological approach |
| topic | Mesoscale and Nanoscale Physics Quantum Physics |
| url | https://arxiv.org/abs/2510.24301 |