Report
Real space quantum metric of solids
| العنوان: | Real space quantum metric of solids |
|---|---|
| المؤلفون: | Oliveira, Lucas A., Chen, Wei |
| سنة النشر: | 2024 |
| المجموعة: | Condensed Matter |
| مصطلحات موضوعية: | Condensed Matter - Mesoscale and Nanoscale Physics, Condensed Matter - Disordered Systems and Neural Networks |
| الوصف: | By acting the projector to the filled lattice eigenstates on a specific position, or applying local electron annihilation operator on the many-body ground state, one can construct a quantum state localized around a specific position in a solid. The overlap of two such local states at slightly different positions defines a quantum metric in real space, which manifests even in systems as simple as particles in a box. For continuous systems like electron gas, this metric weighted by the density gives the momentum variance of electrons, which is readily measurable by ARPES. The presence of disorder curves the real space manifold and gives rise to various differential geometrical quantities like Riemann tensor and Ricci scalar, indicating the possibility of engineering differential geometrical properties by disorder, as demonstrated by lattice models of 2D metals and topological insulators. Comment: 12 pages, 4 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2411.10909 |
| رقم الانضمام: | edsarx.2411.10909 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |