scholarly journals Critical Behavior of the Energy Gap and Its Relation with the Berry Phase Close to the Excited State Quantum Phase Transition in the Lipkin Model

2015 ◽  
Vol 32 (6) ◽  
pp. 060301 ◽  
Author(s):  
Zi-Gang Yuan ◽  
Ping Zhang
2012 ◽  
Vol 85 (4) ◽  
Author(s):  
Zi-Gang Yuan ◽  
Ping Zhang ◽  
Shu-Shen Li ◽  
Jian Jing ◽  
Ling-Bao Kong

2008 ◽  
Vol 78 (6) ◽  
Author(s):  
A. Relaño ◽  
J. M. Arias ◽  
J. Dukelsky ◽  
J. E. García-Ramos ◽  
P. Pérez-Fernández

2007 ◽  
Vol 21 (25) ◽  
pp. 4377-4386 ◽  
Author(s):  
SHI-DONG LIANG

The electronic structure of the multi-wall carbon nanotubes (MWCN) is studied theoretically by the tight-binding approach. The interwall coupling between layers plays an essential role in the electronic structure. With an increase of the interwall coupling, the energy gap of the semiconducting MWCNs will decrease and eventually vanish, giving rise to the semiconductor–metal quantum phase transition. The metallic layer in the MWCN dominates the electronic structure characteristics near the Fermi level (gapless).


2021 ◽  
Vol 103 (3) ◽  
Author(s):  
Michal Kloc ◽  
Daniel Šimsa ◽  
Filip Hanák ◽  
Petra Ruth Kaprálová-Žďánská ◽  
Pavel Stránský ◽  
...  

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