Scaling behavior in a multicritical one-dimensional topological insulator
| العنوان: | Scaling behavior in a multicritical one-dimensional topological insulator |
|---|---|
| المؤلفون: | Wei Chen, Mariana Malard, Henrik Johannesson |
| سنة النشر: | 2020 |
| مصطلحات موضوعية: | Quantum phase transition, Physics, Quantum Physics, Strongly Correlated Electrons (cond-mat.str-el), Condensed Matter - Mesoscale and Nanoscale Physics, FOS: Physical sciences, Multicritical point, 02 engineering and technology, Renormalization group, 021001 nanoscience & nanotechnology, 01 natural sciences, Condensed Matter - Strongly Correlated Electrons, Correlation function, Topological insulator, Mesoscale and Nanoscale Physics (cond-mat.mes-hall), 0103 physical sciences, Spectral gap, Quantum Physics (quant-ph), 010306 general physics, 0210 nano-technology, Scaling, Critical exponent, Mathematical physics |
| الوصف: | A class of Aubry-Andr\'e-Harper models of spin-orbit coupled electrons exhibits a topological phase diagram where two regions belonging to the same phase are split up by a multicritical point. The critical lines which meet at this point each defines a topological quantum phase transition with a second-order nonanalyticity of the ground-state energy, accompanied by a linear closing of the spectral gap with respect to the control parameter; except at the multicritical point which supports fourth-order transitions with parabolic gap-closing. Here both types of criticality are characterized through a scaling analysis of the curvature function defined from the topological invariant of the model. We extract the critical exponents of the diverging curvature function at the non-high symmetry points in the Brillouin zone where the gap closes, and also apply a renormalization group approach to the flattening curvature function at high symmetry points. We also derive a basis-independent correlation function between Wannier states to characterize the transition. Intriguingly, we find that the critical exponents and scaling law defined with respect to the spectral gap remain the same regardless of the order of the transition. Comment: 4 figures |
| اللغة: | English |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5c685930b68e16997899a0e70df22108 http://arxiv.org/abs/2008.08158 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....5c685930b68e16997899a0e70df22108 |
| قاعدة البيانات: | OpenAIRE |
| الوصف غير متاح. |