Amplitudes of Hall field-induced resistance oscillations with a two-harmonic density of states
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| Format: | Preprint |
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2026
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| _version_ | 1866914482388729856 |
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| author | Tierz, Miguel |
| author_facet | Tierz, Miguel |
| contents | We derive explicit strong-field asymptotics for the normalized differential resistance in Hall field-induced resistance oscillations (HIRO) within the Vavilov-Aleiner-Glazman kinetic framework. For a single-harmonic density of states, the leading oscillation amplitude is set by the full backscattering rate $1/τ(π)$. Extending the theory to a two-harmonic density of states, we show that the off-diagonal mixed kernel $γ_{12}$ admits an exact single-integral representation, from which the strong-field asymptotics follow directly. The resulting odd harmonics, notably $m=1$ and $m=3$, have coefficients determined by combinations of $1/τ(0)$ and $1/τ(π)$, while the leading $m=2$ amplitude remains unchanged. On exact-kernel mock data generated and fit within the same model, with $τ_{\rm tr}$ and $τ_{\rm in}$ held fixed, the resulting extraction protocol recovers $τ_q$, $τ(π)$, and -- when the $m=1,3$ harmonics are resolved -- $τ(0)$ to sub-percent accuracy, with $τ(0)$ providing a consistency check on the disorder description. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_15700 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Amplitudes of Hall field-induced resistance oscillations with a two-harmonic density of states Tierz, Miguel Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks Strongly Correlated Electrons We derive explicit strong-field asymptotics for the normalized differential resistance in Hall field-induced resistance oscillations (HIRO) within the Vavilov-Aleiner-Glazman kinetic framework. For a single-harmonic density of states, the leading oscillation amplitude is set by the full backscattering rate $1/τ(π)$. Extending the theory to a two-harmonic density of states, we show that the off-diagonal mixed kernel $γ_{12}$ admits an exact single-integral representation, from which the strong-field asymptotics follow directly. The resulting odd harmonics, notably $m=1$ and $m=3$, have coefficients determined by combinations of $1/τ(0)$ and $1/τ(π)$, while the leading $m=2$ amplitude remains unchanged. On exact-kernel mock data generated and fit within the same model, with $τ_{\rm tr}$ and $τ_{\rm in}$ held fixed, the resulting extraction protocol recovers $τ_q$, $τ(π)$, and -- when the $m=1,3$ harmonics are resolved -- $τ(0)$ to sub-percent accuracy, with $τ(0)$ providing a consistency check on the disorder description. |
| title | Amplitudes of Hall field-induced resistance oscillations with a two-harmonic density of states |
| topic | Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2604.15700 |