Energy spectrum of a Bloch electron on a highly anisotropic two-dimensional lattice in a strong magnetic field: The analogy with the Wannier-Stark ladder

1996 ◽  
Vol 53 (15) ◽  
pp. 10133-10140 ◽  
Author(s):  
V. M. Gvozdikov
2017 ◽  
Vol 32 (26) ◽  
pp. 1750158 ◽  
Author(s):  
M. R. Setare ◽  
P. Majari

We consider a two-dimensional f-deformed Dirac oscillator in the presence of an external uniform static magnetic field. We show that the two-dimensional f-deformed Dirac oscillator maps exactly onto the anti-Jaynes–Cummings (AJC) and Jaynes–Cummings (JC) models. We also obtain the energy spectrum and corresponding eigenstates in the weak and strong magnetic field regimes. We show how the change in chirality is associated with the magnitude of the magnetic field. We investigate the two-dimensional f-deformed Dirac oscillator in an external (isospin) field and find its energy spectrum.


2010 ◽  
Vol 40 (5) ◽  
pp. 529-532 ◽  
Author(s):  
Naomi Hirayama ◽  
Akira Endo ◽  
Kazuhiro Fujita ◽  
Yasuhiro Hasegawa ◽  
Naomichi Hatano ◽  
...  

1993 ◽  
Vol 62 (8) ◽  
pp. 2762-2772 ◽  
Author(s):  
Yoshiyuki Ono ◽  
Hiroyuki Kuwano ◽  
Keith Slevin ◽  
Tomi Ohtsuki ◽  
and Bernhard Kramer

2003 ◽  
Vol 36 (29) ◽  
pp. 7923-7951 ◽  
Author(s):  
Marko Robnik ◽  
Valery G Romanovski

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