Nonlinear Quantum Hall effects in Rarita-Schwinger gas
| العنوان: | Nonlinear Quantum Hall effects in Rarita-Schwinger gas |
|---|---|
| المؤلفون: | Luo, Xi, Tang, Feng, Wan, Xiangang, Yu, Yue |
| سنة النشر: | 2016 |
| مصطلحات موضوعية: | High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Condensed Matter - Mesoscale and Nanoscale Physics, Quantum Gases (cond-mat.quant-gas), Mesoscale and Nanoscale Physics (cond-mat.mes-hall), FOS: Physical sciences, Condensed Matter::Mesoscopic Systems and Quantum Hall Effect, Condensed Matter - Quantum Gases |
| الوصف: | Emergence of higher spin relativistic fermionic materials becomes a new favorite in the study of condensed matter physics. Massive Rarita-Schwinger 3/2-spinor was known owning very exotic properties, such as the superluminal fermionic modes and even being unstable in an external magnetic field. Due to the superluminal modes and the non-trivial constraints on the Rarita-Schwinger gas, we exposit anomalous properties of the Hall effects in (2+1)-dimensions which subvert the well-known quantum Hall paradigms. First, the Hall conductance of a pure Rarita-Schwinger gas is step-like but not plateau-quantized, instead of the linear dependence on the filling factor for a pure spin-1/2 Dirac gas. In reality, the Hall conductance of the Dirac gas is of quantized integer plateaus with the unit $\frac{e^2}h$ due to the localization away from the Landau level centers. If the general localization rule is applicable to the disordered Rarita-Schwinger gas, the Hall plateaus are also expected to appear but they are nonlinearly dependent on the Landau level index. Furthermore, there is a critical magnetic field beyond which higher Landau levels become unstable. This confines the filling factor of the system. We also show that the non-hermitness of the effective Hamiltonian is not crucial to the nonlinearity of the quantum Hall conductance. 12 pages,3 figures |
| اللغة: | English |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9edab99765780d868e96af066d1e0000Test http://arxiv.org/abs/1609.06956Test |
| حقوق: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....9edab99765780d868e96af066d1e0000 |
| قاعدة البيانات: | OpenAIRE |
| الوصف غير متاح. |