Electronic states of a two-dimensional tight-binding model in electric and magnetic fields

1993 ◽  
Vol 184 (1-4) ◽  
pp. 310-313
Author(s):  
Takeshi Nakanishi ◽  
Tomi Ohtsuki ◽  
Motohiko Saitoh
2018 ◽  
Vol 32 (11) ◽  
pp. 1850137 ◽  
Author(s):  
Li-Chi Liu

We use the [Formula: see text]-orbital axis vector (POAV) analysis to deal with large curvature effect of graphene in the tight-binding model. To test the validities of pseudo-magnetic fields (PMFs) derived from the tight-binding model and the model with Dirac equation coupled to a curved surface, we propose two types of spatially constant-field topographies for strongly-curved graphene nanobubbles, which correspond to these two models, respectively. It is shown from the latter model that the PMF induced by any spherical graphene nanobubble is always equivalent to the magnetic field caused by one magnetic monopole charge distributed on a complete spherical surface with the same radius. Such a PMF might be attributed to the isometry breaking of a graphene layer attached conformably to a spherical substrate with adhesion.


2003 ◽  
Vol 72 (10) ◽  
pp. 2656-2664 ◽  
Author(s):  
Tomoaki Yoshioka ◽  
Hidekatsu Suzuura ◽  
Tsuneya Ando

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