دوشنبه، ۱۱ ارديبهشت ۱۳۹۶   


دانشگاه تحصیلات تکمیلی علوم پایه زنجان

بلوار استاد یوسف ثبوتی، پلاک 444

صندوق پستی 1159-45195 زنجان 66731-45137 ایران

دورنگار: 33155142 -024

تلفن: 33151 -024


طراحی و برنامه نويسی توسط مركز كامپيوتر دانشگاه تحصيلات تكميلي علوم پايه زنجان

خانه>دانشکده فیزیک>
دانشکده فیزیک
 
 
1- Jafari, R., Langari, A., Akbari, A., Kim, K.-S., "Real Space Renormalization of Majorana Fermions in Quantum Nano-Wire Superconductors", J. Phys. Soc. Jpn, 86: (2), 024008-1-024008-6, (2017).

Abstract:
We develop the real space quantum renormalization group (QRG) approach for majorana fermions. As an example we focus on the Kitaev chain to investigate the topological quantum phase transition (TQPT) in the one-dimensional spinless p-wave superconductor. Studying the behaviour of local compressibility and ground-state fidelity, show that the TQPT is signalled by the maximum of local compressibility at the quantum critical point tuned by the chemical potential. Moreover, a sudden drop of the ground-state fidelity and the divergence of fidelity susceptibility at the topological quantum critical point are used as proper indicators for the TQPT, which signals the appearance of Majorana fermions. Finally, we present the scaling analysis of ground-state fidelity near the critical point that manifests the universal information about the TQPT, which reveals two different scaling behaviors as we approach the critical point and thermodynamic limit.